Use your measuring devices and right angle trigonometry to calculate the height of this triangle.

Use Your Measuring Devices And Right Angle Trigonometry To Calculate The Height Of This Triangle.

Answers

Answer 1

Answer:

x = 7.98ft or x = 8ft

Step-by-step explanation:

Hope that helps :)


Related Questions

2. A bank charges a $10 fee to open an account. Which of the following equations best represents the total amount in the account, m, when starting with d,dollars?
A. m = d + 10
B. m = d -10
C. m –10 = d
D. m + d = 10
PLEASE HELP A.S.A.P

Answers

Answer:

B

Step-by-step explanation:

it's b

m= d-10

The equation which best represents the total amount in the account, m, when starting with d dollars is

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A bank charges a $10 fee to open an account.

Let the account is started with d dollars.

From the amount d, $10 will be taken as an opening fee.

Remaining balance = d - 10

So if m represents the total amount in the account, the,

m = d - 10

Hence the total amount in the account, m, can be represented as m = d - 10, if the account is started with d dollars.

Learn more about Equations here :

https://brainly.com/question/17194269

#SPJ2

The following is a table relating a group of 1000 patients’ true breast cancer statuses and their corresponding test results after receiving a mammogram.
Cancer Status
Test Result
Positive
Test Result
Negative
Total
Breast Cancer
223
80
303
No Breast Cancer
13
684
697
Total
236
764
1000
What is the probability of a positive test, given that the patient has breast cancer? (2 points)
What is the formal term used to describe this probability measure? (2 point)
What is the probability of a negative test, given that the patient is breast cancer free? (2 points)
What is the formal term used to describe this probability measure? (2 point)

Answers

The probability of a positive test, given breast cancer, is 223/303, while the probability of a negative test, given no breast cancer, is 684/697.

To find the probability of a positive test, given that the patient has breast cancer, we divide the number of true positive cases (223) by the total number of patients with breast cancer (303). This gives us a probability of 223/303.

The formal term used to describe this probability measure is conditional probability or the probability of an event A occurring given that event B has already occurred. In this case, the positive test is event A, and having breast cancer is event B.

Similarly, to find the probability of a negative test, given that the patient is breast cancer-free, we divide the number of true negative cases (684) by the total number of patients without breast cancer (697). This gives us a probability of 684/697.

The formal term used to describe this probability measure is also conditional probability, where the negative test is event A, and not having breast cancer is event B.

Learn more about Probability here: brainly.com/question/32117953

#SPJ11

Rogue River Kayaks specializes in making lightweight yet durable kayaks for white water rafting. It is essential that they make sure that their kayaks maintain a certain level of buoyancy even for the largest of kayakers. According to the latest data set provided by National Transportation and Safety Board (NTSB), the weights of men in the United States are normally distributed with a mean of 188.6 pounds and a standard deviation of 38.9 pounds.

Using excel solve the following:

1. Rogue River Kayaks claims that they can fit 99% of men in their Boulder Buster Kayak. What is the upper weight limit the kayak needs to support for the company to meet their claim? Write or type out the formula you used to calculate your answer.

2. The company claims that the ideal weight range for kayakers in the Boulder Buster is between 135 pounds and 210 pounds. What probability a randomly selected rider falls into this range? Use the characteristics from latest data set as mentioned in the paragraph above to answer this question. Write or type out the formula you used to calculate your answer.

3. Why is it important for Rogue River Kayaks to consistently look to the NTSB to update the distribution of weights in the United States?

Answers

1.  the upper weight limit the kayak needs to support for the company to meet their claim is 270 pounds (rounded off to nearest pound).


2. the probability that a randomly selected rider falls into the weight range of 135-210 pounds is 0.6245 or approximately 62.45%.


3. It is important for Rogue River Kayaks to consistently look to the National Transportation and Safety Board (NTSB) to update the distribution of weights in the United States because the company needs to ensure that their kayaks can accommodate the maximum number of people possible.

As the distribution of weights in the population changes, the company needs to adjust the design of their kayaks to meet the needs of their customers.

By staying up-to-date with the latest data provided by NTSB, Rogue River Kayaks can ensure that their products remain competitive and continue to meet the needs of their customers.

1. We know that the weights of men in the United States are normally distributed with a mean (μ) of 188.6 pounds and a standard deviation (σ) of 38.9 pounds.


Using Excel, we can use the formula NORM.

INV to find the upper weight limit for the kayak to support if Rogue River Kayaks claims that they can fit 99% of men in their Boulder Buster Kayak.

The formula for NORM.

INV is =NORM.INV(probability,mean,standard deviation)

Where probability = 0.99, mean = 188.6, standard deviation = 38.9.

Thus, =NORM.INV(0.99,188.6,38.9)
= 269.60


Therefore, the upper weight limit the kayak needs to support for the company to meet their claim is 270 pounds (rounded off to the nearest pound).


2. To find the probability that a randomly selected rider falls into the ideal weight range for kayakers in the Boulder Buster, we need to find the z-scores for the given weight range and then use the standard normal distribution table.


The z-score formula is:

z = (x - μ) / σ

where x is the weight, μ is the mean and σ is the standard deviation.

For the lower weight limit of 135 pounds, the z-score is z = (135 - 188.6) / 38.9 = -1.382


For the upper weight limit of 210 pounds, the z-score is z = (210 - 188.6) / 38.9 = 0.551

Using the standard normal distribution table, we can find the probability that a z-score falls between -1.382 and 0.551.


The probability is

P(z < 0.551) - P(z < -1.382)

= 0.7088 - 0.0843

= 0.6245

Therefore, the probability that a randomly selected rider falls into the weight range of 135-210 pounds is 0.6245 or approximately 62.45%.

3. It is important for Rogue River Kayaks to consistently look to the National Transportation and Safety Board (NTSB) to update the distribution of weights in the United States because the company needs to ensure that their kayaks can accommodate the maximum number of people possible.

As the distribution of weights in the population changes, the company needs to adjust the design of their kayaks to meet the needs of their customers.

By staying up-to-date with the latest data provided by NTSB, Rogue River Kayaks can ensure that their products remain competitive and continue to meet the needs of their customers.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ11

Need help in proving theorems of square please ASAP ​

Answers

Answer:

The length of [tex]\overline{JO}[/tex] is 48.

Step-by-step explanation:

A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let [tex]m\,\angle BOJ = 4\cdot x -6[/tex] and [tex]BO = 2\cdot x - 8[/tex], the value of [tex]x[/tex] is:

[tex]4\cdot (4\cdot x - 6) = 360^{\circ}[/tex]

[tex]16\cdot x -24 = 360^{\circ}[/tex]

[tex]16\cdot x = 384^{\circ}[/tex]

[tex]x = 24[/tex]

And the length of [tex]JO[/tex] is:

[tex]JO = BO = 2\cdot x - 8[/tex]

[tex]JO = 40[/tex]

The length of [tex]\overline{JO}[/tex] is 48.

Suppose that you are testing the hypotheses H_o: μ = 82 vs. H_A: µ≠ 82. A sample of size 51 results in a sample mean of 87 and a sample standard deviation of 1.4.
a) What is the standard error of the mean?
b) What is the critical value of t^* for a 99% confidence interval?
c) Construct a 99% confidence interval for µ.
d) Based on the confidence interval, at α = 0.010 can you reject H_o? Explain.
The standard error of the mean is____ (Round to four decimal places as needed.)

Answers

a) The standard error of the mean can be calculated using the formula:

standard error = sample standard deviation / √(sample size).

Given a sample size (n) of 51 and a sample standard deviation (s) of 1.4, we can compute the standard error as follows:

Standard error = 1.4 / √51 ≈ 0.1967 (rounded to four decimal places).

b) To find the critical value of t^* for a 99% confidence interval, we need to consider the degrees of freedom. Since we have a sample size of 51, the degrees of freedom is n-1 = 51-1 = 50. Using a t-distribution table or calculator, the critical value for a 99% confidence interval with 50 degrees of freedom is approximately ±2.680.

c) To construct a 99% confidence interval for µ, we can use the formula:

Confidence interval = sample mean ± (critical value * standard error).

Using the given sample mean of 87 and the standard error calculated in part a, the confidence interval can be calculated as follows:

Confidence interval = 87 ± (2.680 * 0.1967) ≈ 87 ± 0.5278

d) Since the confidence interval obtained in part c does not include the hypothesized value of 82, we can reject the null hypothesis (H_o: μ = 82) at α = 0.010. The hypothesized value of 82 falls outside the confidence interval, providing evidence to suggest that the true population mean is different from 82.

To know more about standard error refer here:

https://brainly.com/question/13179711

#SPJ11

Need help please. Thanks!​

Answers

Answer:

Option 1: 4h

Step-by-step explanation:

perimeter of square = 4 × length

h × 4 = 4h

a study is to be conducted to help determine whether a spinner with five sections is fair. how many degrees of freedom are there for a chi-square goodness-of-fit test? three four five six seven

Answers

There are four degrees of freedom for the chi-square goodness-of-fit test in this study. So, correct option is B.

For a chi-square goodness-of-fit test in the context of testing the fairness of a spinner with five sections, the number of degrees of freedom can be determined by subtracting 1 from the number of categories being tested.

In this case, since the spinner has five sections, there are five categories. Therefore, the degrees of freedom for the chi-square goodness-of-fit test would be:

Degrees of freedom = Number of categories - 1

= 5 - 1

= 4

Degrees of freedom represent the number of values in the final calculation of the chi-square test statistic that are free to vary. It determines the critical values and the distribution of the test statistic.

In the case of the chi-square goodness-of-fit test, the test compares the observed frequencies in each category with the expected frequencies under the assumption of fairness. By comparing these frequencies, the test determines if there is a significant deviation from the expected distribution, indicating unfairness in the spinner.

So, correct option is B.

To learn more about chi-square click on,

https://brainly.com/question/31797551

#SPJ4

6/2(1+2) this time don't go ogle it because it will say 9

Answers

Answer:

9

Step-by-step explanation:

I'm not sure, the answer is still 9, 1+2 is 3 so

6/2(3)

and 6/2 simplified is 3

so 3(3) is 9

Answer:

9

Step-by-step explanation:

1. Simplify the parantheses

(1+2) = 3

2. Turn 3 into a fraction

3 = 3/1

3. Multiply the fractions

6   x    3    =  18

2    x   1         2

4. What is 18/2?

18/2 = 9

Hiii, so I REALLY want to rank up, and I just need 5 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

Anthony currently earns $11.75 per hour.
• He will get a $0.25 raise after 6 months.
• He will get a 2.5% raise after an additional 6 months.
After Anthony gets both raises, what will his pay be for 38 hours of work?
O A. $468.92
o B. $467.40
o
C. $465.50
D. $446.50
N

Answers

Answer:

You need to add more information that that. It's too confusing when you put it like that.

Step-by-step explanation:

Answer: girl i'm tryna figure this out too

Step-by-step explanation:

EASY MATH
Find all the zeros of f(x)= x^3 − 6x^2 + 13x − 20 given that 1−2i is a zero.
x=

Answers

Answer:

there is only one zero

Step-by-step explanation: and if it easy why you didint do it just ascking

Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance​

Answers

Answer:

105

Step-by-step explanation:

(-20+5)(58-65)

(-15)(-7)

105

70 out of 550 questions on a standardized test are math questions. what percent of the test is mathematics?

Answers

Answer:

385 are math quetions.

Step-by-step explanation:

70% of 550 is 385.

12.73 percent of the test is mathematics

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

What does x equal please help

Answers

Answer: 5 1/2 (5.5)

Step-by-step explanation:

add 4 2/3 to 5/6

Let w = {C5 %):a,ber } with the standard operations in M2.2- Which of the following statements is true? The 2x2 identity matrix is in W W is not a subspace of M2x2 because it does not contain the zero matrix the above is true W is a subspace of M2x2. the above is true None of the mentioned

Answers

The statement "W is a subspace of M2x2" is true because W satisfies the three conditions for being a subspace.

To determine whether W is a subspace of M2x2, we need to verify three conditions:

W is non-empty: Since W is defined as the set of all 2x2 matrices with a fixed entry of 5, it contains at least one matrix (such as [[5, 5], [5, 5]]).

W is closed under addition: For any two matrices A and B in W, their sum A + B will also have the fixed entry of 5 in the corresponding position. Therefore, the sum of any two matrices in W will still be in W.

W is closed under scalar multiplication: For any matrix A in W and any scalar c, the scalar multiple cA will also have the fixed entry of 5 in the corresponding position. Hence, the scalar multiple of any matrix in W will still be in W.

Since W satisfies all three conditions, it is indeed a subspace of M2x2.

To learn more about subspaces visit : https://brainly.com/question/13045843

#SPJ11

Need help ASAP please

Answers

Answer:

It takes more 1/9th because they ar smaller than 1/6th. You would need three 1/9ths and two 1/6th in order for it to equal 1/3

reverse the order of integration and then evaluate the integral.
₀∫¹₄ᵧ∫⁴ x⁴eˣ^²ʸ dx dy
a. e¹⁶ - 1
b. e¹⁶ - 68/3
c. 4e¹⁶-68 / 3
d. 4e¹⁶ - 68

Answers

The correct answer is option (b): [tex]e^16 - 68/3[/tex]. The approximate value of this expression is [tex]e^16 - 68/3[/tex].

To reverse the order of integration, we need to change the order of integration and rewrite the limits of integration accordingly.

The given integral is:

∫₀¹₄ ᵧ ∫⁴ x⁴e^(x²ʸ) dx dy

To reverse the order of integration, we integrate with respect to y first. The limits of integration for y are 0 to 14ᵧ. The limits of integration for x will depend on the value of y.

∫₀¹₄ ᵧ ∫⁴ x⁴e^(x²ʸ) dx dy

Let's integrate with respect to x first:

∫⁴ x⁴e^(x²ʸ) dx = [1/5 x⁵e^(x²ʸ)]⁴₀

Now we can rewrite the integral with reversed order of integration:

∫₀¹₄ dy ∫⁴₀ x⁴e^(x²ʸ) dx

Plugging in the limits of integration for x:

∫₀¹₄ dy [1/5 x⁵e^(x²ʸ)]⁴₀

Now we can evaluate the integral:

∫₀¹₄ dy [1/5 (⁴)⁵e^(⁴²ʸ) - 1/5 (⁰)⁵e^(⁰²ʸ)]

Simplifying:

∫₀¹₄ dy [1/5 (1024e^(16ʸ) - 1)]

Now integrate with respect to y:

[1/5 (1024e^(16ʸ) - 1)]¹₄

Plugging in the limits of integration for y:

[1/5 (1024e^(1614) - 1)] - [1/5 (1024e^(160) - 1)]

Simplifying:

[1/5 (1024e^(224) - 1)] - [1/5 (1024e^(0) - 1)]

[1/5 (1024e^(224) - 1)] - [1/5 (1024 - 1)]

[1/5 (1024e^(224) - 1)] - [1/5 (1023)]

[1/5 (1024e^(224) - 1)] - [204.6]

To evaluate the expression, we need the actual numerical value for e^(224). Using a calculator, we find that e^(224) is an extremely large number. Therefore, we can approximate it as e^(224) ≈ 2.4858 x 10^97.

Plugging in the value:

[1/5 (1024 x (2.4858 x 10^97) - 1)] - [204.6]

Simplifying the expression:

[2.4858 x 10^97 - 1] / 5 - 204.6

The approximate value of this expression is:

e^16 - 68/3

Therefore, the correct answer is option (b): e^16 - 68/3.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

The height of a parallelogram is 4 millimeters more than its base. If the area of the
parallelogram is 221 square millimeters, find its base and height.

Answers

Answer:

523 inches

Step-by-step explanation:

got it right on edg

Can someone plz help me

Answers

Answer:

28yd^2

Step-by-step explanation:

the answer is 28 yards squared bud :)

What is a simpler form of
5n(3n³−n²+8) ?

Answers

15n power 4 - 5n power 3 + 40n

Simplify sin^2(t)/sin^2 (t) + cos^2(t) to an expression involving a single trig function with no fractions.

Answers

The final simplified expression is [tex](sin(t))^2[/tex]is the correct answer.

The given expression is [tex]sin^2(t) / sin^2(t) + cos^2(t).[/tex]

Simplify [tex]sin^2(t)/sin^2 (t) + cos^2(t)[/tex] to an expression involving a single trig function with no fractions:

By using the identity[tex]sin^2 (t) + cos^2 (t) = 1[/tex] we can write, [tex]sin^2(t)/sin^2 (t) + cos^2(t) = sin^2(t)/(sin^2(t) + cos^2(t))[/tex]

Now using the identity [tex]csc^2 (t) = 1/sin^2 (t)[/tex] we get, [tex]sin^2(t)/(sin^2(t) + cos^2(t))= 1/csc^2(t) = (sin(t))^2[/tex]

The final simplified expression is [tex](sin(t))^2.[/tex]

Trigonometry is the study of relationships between angles and sides of triangles. It finds applications in a variety of fields like engineering, physics, architecture, etc. Trigonometric ratios, identities, and functions are the main concepts of trigonometry. Trigonometric ratios of an angle are ratios of the lengths of two sides of a triangle containing that angle. They are sine, cosine, tangent, cosecant, secant, and cotangent, which are abbreviated as sin, cos, tan, csc, sec, and cot, respectively. The primary trigonometric identity is [tex]sin^2 (t) + cos^2 (t) = 1.[/tex]

know more about Trigonometry

https://brainly.com/question/29002217

#SPJ11

Find the relative maximum and minimum values of f(x,y) = x3/3 + 2xy + y2 - 3x + 1. 3

Answers

The critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3 and (1, -1) is the only extremum or relative maximum of the function.

To find the relative maximum and minimum values of the function f(x, y) = ([tex]x^3[/tex])/3 + 2xy +[tex]y^2[/tex] - 3x + 1, we need to analyze its critical points and classify them using the second partial derivative test.

To find the critical points, we need to compute the partial derivatives of f with respect to x and y and set them equal to zero:

∂f/∂x = [tex]x^2[/tex] + 2y - 3 = 0

∂f/∂y = 2x + 2y = 0

Solving these equations simultaneously, we find x = 1 and y = -1.

Thus, the critical point is (1, -1).

Next, we need to compute the second partial derivatives and evaluate them at the critical point:

∂²f/∂x² = 2

∂²f/∂y² = 2

∂²f/∂x∂y = 2

Now, we can use the second partial derivative test to classify the critical point.

The discriminant D = (∂²f/∂x²) × (∂²f/∂y²) - [tex]\left(\frac{{\partial^2 f}}{{\partial x \partial y}}\right)^2[/tex] = (2)(2) - [tex](2)^2[/tex] = 0.

Since D = 0, the test is inconclusive.

To determine the nature of the critical point, we can examine the function near the critical point.

Evaluating f at the critical point (1, -1), we find f(1, -1) = [tex](1^3)[/tex]/3 + 2(1)(-1) + [tex](-1)^2[/tex] - 3(1) + 1 = -1/3.

Hence, the critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3.

There are no other critical points to consider, so we can conclude that (1, -1) is the only extremum of the function.

Learn more about Derivative here:

https://brainly.com/question/30401596

#SPJ11

A survey conducted by Sallic Mae and Gallup of 1404 respondents found that 323 students paid for their education by student loans. Find the 90% confidence of the true proportion of students who paid for their education by student loans.

Fifty randomly selected people were asked how long they slept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour. Find 95% confidence interval of the mean time. Assume the variable is normally distributed.

For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure. If the mean systolic blood pressure is 120 and the standard deviation is 8, find the upper and lower reading that would qualify people to participate in the study.

Answers

The upper and lower readings that would qualify people to participate in the medical study are 113.48 and 126.72 respectively.

Firstly, we'll calculate the 90% confidence interval of the proportion of students who paid for their education by student loans.

For this, we will use the formula:

[tex]$$\hat{p}\pm z\left(\frac{\sqrt{\hat{p}(1-\hat{p})}}{n}\right)$$[/tex]

Where, [tex]$\hat{p}$[/tex] is the sample proportion, n is the sample size, z is the z-score for the level of confidence,

[tex]$1-\alpha$[/tex]

For 90% confidence, the z-score is 1.645 (because the table value of z-score is 1.645 at 90% confidence level).

[tex]\hat{p}=\frac{323}{1404}$$[/tex]

[tex]\hat{p}=0.23$$[/tex]

[tex]\text{Standard Error}= \left(\frac{\sqrt{\hat{p}(1-\hat{p})}}{n}\right)$$[/tex]

[tex]\text{Standard Error}= \left(\frac{\sqrt{0.23(1-0.23)}}{1404}\right)$$[/tex]

[tex]\text{Standard Error}= 0.014$$[/tex]

[tex]\text{Confidence Interval} = \hat{p}\pm z \times \text{Standard Error}$$[/tex]

[tex]\text{Confidence Interval}= 0.23\pm 1.645(0.014)$$[/tex]

[tex]\text{Confidence Interval}= 0.23\pm 0.023$$[/tex]

Confidence Interval = [0.207,0.253]

The 90% confidence interval of the proportion of students who paid for their education by student loans is [0.207,0.253].

Now we will calculate the 95% confidence interval of the mean time.

For this, we will use the formula:

[tex]\bar{X}\pm z\left(\frac{\sigma}{\sqrt{n}}\right)$$[/tex]

Where, [tex]$\bar{X}$[/tex] is sample mean, [tex]$\sigma$[/tex] is population standard deviation, n is sample size, z is the z-score for the level of confidence, [tex]$1-\alpha$[/tex]

For 95% confidence, the z-score is 1.96.

(because the table value of z-score is 1.96 at 95% confidence level).

[tex]\text{Confidence Interval}= \bar{X}\pm z\left(\frac{\sigma}{\sqrt{n}}\right)$$[/tex]

[tex]\text{Confidence Interval}= 7.1\pm 1.96\left(\frac{0.78}{\sqrt{50}}\right)$$[/tex]

[tex]\text{Confidence Interval}= 7.1\pm 0.2199$$[/tex]

Confidence Interval = [6.8801, 7.3199]

The 95% confidence interval of the mean time is [6.8801, 7.3199].

Next, we will find the upper and lower reading that would qualify people to participate in the medical study.

We can do this by calculating the z-scores for the upper and lower percentiles using the standard normal distribution table.

For the lower reading: Since we want to select people in the middle 60% of the population, the lower reading will correspond to the 20th percentile.

Using the standard normal distribution table, we find that the z-score for the 20th percentile is -0.84.

Using the z-score formula, we have:

[tex]z = \frac{x - \mu}{\sigma}$$[/tex]

where, x is the lower reading.

Substituting the given values, we get:-

0.84 = (x - 120) / 8

Solving for x, we get:

[tex]x = (-0.84 \times 8) + 120$$[/tex]

x = 113.48

The lower reading that would qualify people to participate in the medical study is 113.48.

For the upper reading: Since we want to select people in the middle 60% of the population, the upper reading will correspond to the 80th percentile.

Using the standard normal distribution table, we find that the z-score for the 80th percentile is 0.84.

Using the z-score formula, we have:

[tex]z = \frac{x - \mu}{\sigma}$$[/tex]

where, x is the upper reading.

Substituting the given values, we get:

0.84 = (x - 120) / 8

Solving for x, we get:

[tex]x = (0.84 \times 8) + 120$$[/tex]

x = 126.72

The upper reading that would qualify people to participate in the medical study is 126.72.

Therefore, the upper and lower readings that would qualify people to participate in the medical study are 113.48 and 126.72 respectively.

To know more about mean, visit :

https://brainly.com/question/1136789

#SPJ11

what equation passes through (6,3) and is parrallel to y=3x+5​

Answers

Answer:

y=3x+25

Step-by-step explanation:

For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-13)=3(x--4)

y-13=3x+12

y=3x+25

A sample of 18 male students was asked how much they spent on textbooks this semester. The sample variance was s2M = 35.05. A sample of eight female students was asked the same question, and the sample variance was s2F = 18.40. (Data collected by Megan Damron and Spencer Solomon, 2009.) Assume that the amount spent on textbooks is normally distributed for both the populations of male students and of female students.

a. Calculate a 90% confidence interval estimate for sigma2M, the population variance of the amount spent on textbooks by male students.
b. Calculate a 90% con?dence interval estimate for sigma2M, the population variance of the amount spent on textbooks by female students.

Answers

a.0.05 ≤ P (χ²(17) <  (18 - 1)35.05/σ²M < χ²(0.95)(17))0.05 ≤ P (χ²(17) <  577.57/σ²M < χ²(0.95)(17))0.05 ≤ P (χ²(17) <  577.57/σ²M < 28.412)The above inequality represents the 90%

b. 0.05 ≤ P (χ²(7) <  (8 - 1)18.40/σ²F < χ²(0.95)(7))0.05 ≤ P (χ²(7) <  122.18/σ²F < χ²(0.95)(7))0.05 ≤ P (χ²(7) <  122.18/σ²F < 14.067)

The above inequality represents the 90% confidence interval estimate for sigma2F.

a. 90% confidence interval estimate for sigma2M:We are given that the sample variance is s²M=35.05 and a sample of 18 male students was asked how much they spent on textbooks. We are also given that the amount spent on textbooks is normally distributed for both the populations of male students.

Using the Chi-Square distribution, we have:  (n - 1)s²M/σ²M follows a Chi-Square distribution with n - 1 degrees of freedom.

Then,  (n - 1)s²M/σ²M ~ χ²(n - 1)For a 90% confidence interval estimate, we can write: 0.05 ≤ P (χ²(17) <  (n - 1)s²M/σ²M < χ²(0.95)(17))

Using the table of chi-square values with (n - 1) degrees of freedom, we have:χ²(0.05)(17) =  8.567χ²(0.95)(17) =  28.412

Substituting the values, we have:0.05 ≤ P (χ²(17) <  (18 - 1)35.05/σ²M < χ²(0.95)(17))0.05 ≤ P (χ²(17) <  577.57/σ²M < χ²(0.95)(17))0.05 ≤ P (χ²(17) <  577.57/σ²M < 28.412)The above inequality represents the 90%

b. confidence interval estimate for sigma2M.b. 90% con? dence interval estimate for sigma2F:Using the same concept as above, we can write: 0.05 ≤ P (χ²(7) <  (n - 1)s²F/σ²F < χ²(0.95)(7))

Using the table of chi-square values with (n - 1) degrees of freedom, we have:χ²(0.05)(7) =  3.357χ²(0.95)(7) =  14.067

Substituting the values, we have:0.05 ≤ P (χ²(7) <  (8 - 1)18.40/σ²F < χ²(0.95)(7))0.05 ≤ P (χ²(7) <  122.18/σ²F < χ²(0.95)(7))0.05 ≤ P (χ²(7) <  122.18/σ²F < 14.067)

The above inequality represents the 90% confidence interval estimate for sigma2F.

To know more about interval visit:

https://brainly.com/question/30460486

#SPJ11

To calculate a 90% confidence interval estimate for σ2M, the population variance of the amount spent on textbooks by male students, we use the formula below:

[tex]$$\chi_{0.05,17}^2 <\frac{(n - 1)s^2}{\sigma^2} < \chi_{0.95,17}^2$$[/tex]

where n = 18, s2M = 35.05, df = n - 1 = 17, and χα2,

df is the critical value from the chi-squared distribution with df degrees of freedom.

We know that:

[tex]$$\chi_{0.05,17}^2 = 8.909$$[/tex]

and

[tex]$$\chi_{0.95,17}^2 = 31.410$$[/tex]

Substituting these values, we have:

[tex]$$8.909 < \frac{(18-1)(35.05)}{\sigma^2} < 31.410$$[/tex]

Solving for σ2, we have:

[tex]$$\frac{(18-1)(35.05)}{31.410} < \sigma^2 < \frac{(18-1)(35.05)}{8.909}$$[/tex]

Hence, a 90% confidence interval estimate for σ2M is:

[tex]$$(48.704, 194.154)$$b.[/tex]

To calculate a 90% confidence interval estimate for σ2F, the population variance of the amount spent on textbooks by female students, we use the formula below:

[tex]$$\chi_{0.05,7}^2 <\frac{(n - 1)s^2}{\sigma^2} < \chi_{0.95,7}^2$$[/tex]

where n = 8, s2F = 18.40, df = n - 1 = 7, and χα2,

df is the critical value from the chi-squared distribution with df degrees of freedom.

We know that:

[tex]$$\chi_{0.05,7}^2 = 14.067$$[/tex] and

[tex]$$\chi_{0.95,7}^2 = 2.998$$[/tex]

Substituting these values, we have:

[tex]$$14.067 < \frac{(8-1)(18.40)}{\sigma^2} < 2.998$$[/tex]

Solving for σ2, we have:

[tex]$$\frac{(8-1)(18.40)}{2.998} < \sigma^2 < \frac{(8-1)(18.40)}{14.067}$$[/tex]

Hence, a 90% confidence interval estimate for σ2F is:

[tex]$$(7.176, 23.622)$$[/tex]

Therefore, the 90% confidence interval estimate for σ2M,

the population variance of the amount spent on textbooks by male students, is (48.704, 194.154), while the 90% confidence interval estimate for σ2F,

the population variance of the amount spent on textbooks by female students, is (7.176, 23.622).

To know more about estimate, visit:

https://brainly.com/question/30870295

#SPJ11

A store purchases a shirt for $16.89. The store marks up the shirt by 20%. Right now, they are having a sale for 40% off any item. What is the sale price with a 7.25% tax?

Answers

Answer:

$13.04

Step-by-step explanation:

First, multiply 16.89 by 1.2, 0.6, and 1.0725. You should get a weird number on your calculator saying 13.042458, but just round 2 to the 4 ( 4 stays the same) and remove all the other numbers to get $13.04

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

.....just round the tenths place (6) up sense 8 is above 5 it rounds up so

4,370

sorry for bad explanation

evaluate the following expressions. your answer must be an exact angle in radians and in the interval [ 0 , π ] . example: enter pi/6 for π 6 .

Answers

The expression to evaluate is arccos([tex]\sqrt(3)[/tex]/2) - arcsin(1/2). The exact angle in radians in the interval [0, π] for this expression is π/6.

To evaluate the given expression, we start by calculating the values inside the trigonometric functions. The square root of 3 divided by 2 is equal to 0.866, and 1 divided by 2 is equal to 0.5. The arccos function gives us the angle whose cosine is equal to the input. In this case, the cosine of the angle we are looking for is[tex]\sqrt(3)[/tex]/2. Using the unit circle, we find that this angle is π/6 radians. Next, we calculate the arcsin of 1/2, which gives us the angle whose sine is equal to the input. This angle is π/6 radians as well. Finally, we subtract the two angles to get our result: π/6 - π/6 = 0. Therefore, the exact angle in radians in the interval [0, π] for the given expression is π/6.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ11

(a) Is 2 ⊆ {2, 4, 6}?
(b) Is {3} ∈ {1, 3, 5}?

Answers

Answer:

hola

Como te amo hermoso

Step-by-step explanation:

Te conozco a alguien para mi amor todo

The graph shows the amount of money in a savings account over a period of 10 weeks.
How much money was saved over the 10 week period?

A) $50

B) $80

C) $110

D) $112

Answers

Answer:

A) $50

Step-by-step explanation:

Answer:

+$50

Step-by-step explanation:

Day #0 = $30

Day #10 = $80

80 - 30 = 50

:P

Other Questions
The Deputy Chief Executive faces recurring problems that require a scheduled, frequent and permanent meeting of members from all departments. Which of the following is the most appropriate integration mechanism? A Direct contact. B Task-force committee. Liaison Roles. Cross-functional committee. The sun radiates energy at the rate 3.8 10^26 W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0 10^30 kg a. How much mass does the sun lose each year? Express your answer including the appropriate units.b. What percent is this of the sun's total mass? Express your answer including the appropriate units. A transaction has been recorded in the T-accounts of Simpson Company as follows Cash 850 Notes Payable Which of the following could be an explanation for this transaction? 10) A) Simpson acquired $850 cash from the issue of common stock. B) The company loaned $850 to another company. C) The company repaid a $850 debt. D) The company borrowed $850. this question considered permutations of ""artemisrocket"".a) how many permutations are there total? . For an imaginary closed economy, T= 5,000; S=11,000; C = 50,000; and the government is running a budget deficit of 1,000. Then: a. private saving = 10,000 and GDP = 54,000. b. private saving = 10,00 Find the Egyptian fraction for 7/9 Illustrate the solution with drawings and use Fibonacci's Greedy Algorithm. New Providence Limited wants to raise some shares to finance its expansion in the export market and invited applications for 500 000 ordinary shares of $1 each at $1.30 payable as to 40c on application, 70c (including 30c premium) on allotment and 20c on first and final call four months after allotment. Applications for all shares were received and shares duly allotted. All allotment monies were received but the holder of 1 000 shares failed to meet the call and forfeited his shares in accordance with the articles of the company. All forfeited shares were subsequently reissued as fully paid shares at 80c each.Required:A. Accounting entries to record the issue of shares by New Providence Limited.i. Application and allotment account, and bank accountii. Share premium account and Call accountiii. Ordinary share capital account and Investment own shares accountB. Highlight TWO (2) advantages and TWO (2) disadvantages to a company that raises capital by share issue. Which 2 options are benefits of using the Close Books feature?(Select all that apply)It can prevent users from accessing any information in a closed periodIt can prevent users from changing transactions in a closed periodIt keeps track of any changes made to closed period transactions after the closing date was setIt keeps track of any changes made to any transactions after the closing dateIt generates a Closing Date Detail report : 2. If a material is defined at both a distribution center and a production plant, what will be the procurement type in the MRP2 data view for each? 3. What is the purpose of the Procurement Type field in the MRP2 data view? 4. List at least 3 business process issues or complications that may arise regarding the Material Master? According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset useful life a. True b. False A point charge q with mass m is released from rest at the origin in an external magnetic field and an external electric field. Both of the external fields are uniform but the electric field points in the z-direction and the magnetic field points in the r-direction: = Ek B = Bo where E, and Bo are constants. The electric field accelerates the point charge along the z-axis, but once the point charge has acquired a non-zero velocity along the z-direction it will also experience a magnetic force. a) Using Newton's second law and the Lorentz force, show that the acceleration of the point charge in each direction must satisfy the following: dr dy dz d2 EO dy dt2 dt2 dt dt2 dt where w is the cyclotron frequency q =0 mn and r(t), y(t), and z(t) give the position of the point charge along each axis as functions of time. b) The above equations are called coupled differential equations because they mix derivatives of y with derivatives of z (and vice versa). Show that these equations can be de-coupled by taking another time derivative. By de-coupled, I mean you should have an equation containing only derivatives of y with respect to t and an equation containing only derivatives of z with respect to t. c) The de-coupled equations are easier to solve, but let's not go through the actual steps. Instead I will just give you the general solution to the equations given in part a): r=Cit+C2 Eot y=C3 cos wt + C4 sin wt + + C5 z = C4 cos wt - C3 sin wt + C6 where C1, C2, C3, C4, C5, and Co are arbitrary constants. Show that these functions solve the equations from part a). You do NOT need to derive them, just plug them directly into the equations from part a). d) Recall that at t = 0 the point charge is at rest and located at (, y, z) = (0,0,0). Use these initial conditions to determine the values of the arbitrary constants. e) (Optional) Now try to sketch the motion of the charged particle. This can be tricky. It is helpful to take your expressions for y(t) and z(t) and notice that you can manipulate them into the equation for a circle, but one in which the center of the circle moves along the y-axis with constant speed. This is called cycloid motion and is identical to a wheel rolling at constant velocity. Which terms is defined as the possibility of loss resulting from not being able to convert an asset into cash quickly should the need arise? On September 15, Lubov agreed orally with Tim to lease a store to Tim in Manhattan at $5,000 per month for one year starting the following January(a) Is the oral agreement enforceable? Explain.(b) Assume that the oral lease was for three years, that Tim moved in on January 1, and paid the monthly rent for six months, and that Lubov then notified Tim to vacate. Is the oral agreement enforceable by Tim for the balance of the three-year term? Explain. Why do some groups succeed, and others fail? The characteristics of groups and teams have an important impact on their effectiveness. These same characteristics can create or reduce stress on team members. When supervisors are aware of these characteristics and understand their impact, supervisors are able to build better new groups and teams and are able to intervene in current groups and teams to improve their effectiveness by changing some of the characteristics.Read each description and classify as the appropriate group characteristic. Roles Norms, Cohesiveness, Size, Homogeneity1. Jeff is a team member on one team and a team leader in another group.2. Jess has always been the person to lighten up the mood when others are upset, depressed, or involved in conflict.3. Brandon is being pressured by other members of his group to quit telling jokes and stay on topic during meetings. A large car company states that the brake system will function properly for 5.3 years with a population standard deviation of 1.2 years before needing maintenance. An independent research facility is concerned that the brake systems may not last as long as the company claims. They took a random sample of 36 cars made by the manufacturer and found the average to be 5.0 years. Test the hypothesis at the 1% significance level. a. State the null and alternative hypotheses b. Calculate the test statistic. c. Find the p-value d. State your decision. e. State the conclusion in the context of the problem Your estimate of the market riak premium is 0% The risk free rate of retum in 3.1% and General Motors han a beta of 1.9. According to the Capital Asset Pricing Model (CAPM), what in its expected return? O A 212 OB 18.2% OC 20.2% OD. 19.2% CK Computers has a marketing budget of $10,000 and a time frame of one week to liquidate at least 1,000 computers. In the context of LP problem, what does "one week" represent?A. The Objective Function B. A Constraint C. An Alternative Course of Action D. A Decision Variable E. Both B and D above Are these answers correct or not? This is for ESHP 190 - The Artof Startingce - Entrepreneurial Funding - Requires Respondus LockDown Browser -30:00 Time Left:0:06:23 Hailey Hill: Attempt 1 3 X 9 Question 1 (3 points) Saved Which of the following is NOT true of most debt Solve the system by finding the reduced row-echelon form of the augmented matrix. = 7 21 - 22 23 201 - 3.02- 423 221 +22+ 4.3 =17 6 Fill in the blanks for the first 3 columns of the reduced row-echelon form of the augmented matrix: *** ** How many solutions are there to this system? O A. None OB. Exactly 1 OC. Exactly 2 OD. Exactly 3 E. Infinitely many OF. None of the above Consider how each of the following events is likely to affect real GDP. DO you think the change in real GDP reflects a similar change in economic well-being? a. A hurricane in Florida forces Disney World to shut down b. The discovery of a new, easy-to-grow strain of wheat c. Increased hostility between unions and management sparks d. Firms throughout the economy experience falling demand, e. Congress passes a new environmental law that prohibits for a month increases farm harvest a rash of strikes causing them to lay off workers firms from using production methods that emit large quantities of pollution mowing lawns spend more time with their children f. More high-school students drop out of school to take jobs g. Fathers around the country reduce their work-weeks to spend more time with their children