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Answer:

y = 0.47

x = 0.91

Step-by-step explanation:

From the right angled triangle Given :

Applying trigonometry :

To Obtain y :

We use :

Tan θ = opposite / hypotenus

Tan 25 = y / 1

y = 1 * tan 25

y = 0.4663076 * 1

y = 0.47

For x :

We use :

Cosθ = adjacent / hypotenus

Cos 25 = x / 1

0.9063077 = x / 1

x = 0.9063077 * 1

x = 0.9063077

Hence, x = 0.91

Answer:

$1140 or $540

Step-by-step explanation:

450*1.2=540

540+600=1140

Answer:

[tex]0.4138[/tex]

Step-by-step explanation:

Given

[tex]x \to storm[/tex]

[tex]\mu_x = 1.0[/tex]

[tex]y \to fire[/tex]

[tex]\mu_y = 1.5[/tex]

[tex]z \to theft[/tex]

[tex]\mu_z = 2.4[/tex]

Let the event that the above three factors is greater than 3 be represented as:

[tex]P(A > 3)[/tex]

Using complement rule, we have:

[tex]P(A > 3) = 1 - P(A \le 3)[/tex]

This gives:

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

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The exponential distribution formula of each is:

[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]

So, we have:

[tex]k = 3; \mu_x = 1[/tex]

[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]

[tex]k=3; \mu_y = 1.5[/tex]

[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]

[tex]k = 3; \mu_z = 2.4[/tex]

[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]

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[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]

[tex]P(A > 3) = 1 - 0.5862[/tex]

[tex]P(A > 3) = 0.4138[/tex]

Answer:

[tex]s = - \frac{1}{4} [/tex]

Step-by-step explanation:

For m to be equal to n,

[tex]2s = \frac{2s- 1}{3} [/tex]

Multiply both sides by 3:

[tex]6s = 2s - 1[/tex]

Minus 2s on both sides:

[tex]4s = - 1[/tex]

Divide by 4 on both sides:

[tex]s = - \frac{1}{4} [/tex]

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

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Answer Answer:

The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.

Step-by-step explanation:

Check answer

Answer:

2 doctors to 9 patients

Step-by-step explanation:

Divide each by 3. They cant be simplified more.

Answer:

number 4 is 244   number 5 is 43

Step-by-step explanation:

order of operations is key here

4:6 to the power of 3 is first

216+7*4

now do 7*4

216+28

now simplify

244

5: this one is a little bit more tricky

do the stuff inside the parentheses first

4^2+1=17

3(17)-2^3

exponent next

3(17)-8

multiply next

51-8

43 is your answer

there you go

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Answer:

y = 4/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

7/8y + 1/2 = 1 1/5

Step 2: Solve for y

Answer:

a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Standard error:

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Margin of error:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = zs[/tex]

The confidence interval is:

Sample proportion plus/minus margin of error. So

[tex](\pi - M, \pi + M)[/tex]

In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

This means that [tex]n = 1500, \pi = \frac{1305}{1500} = 0.87[/tex]

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.87*0.13}{1500}} = 0.0087[/tex]

0.0087*100% = 0.87%.

The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Then

[tex]M = zs = 1.96*0.0087 = 0.0171[/tex]

0.0171*100% = 1.71%

The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

87% - 1.71% = 85.29%

87% + 1.71% = 88.71%.

The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.

The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Answer:

22×2/5=8.8

Step-by-step explanation:

Hope it helps you

Answer:

55

Step-by-step explanation:

2/5n = 22

multiply each side by 5/2 to get:

n = 110/2

n = 55

Answer:

Multiply

1/3

Step-by-step explanation:

You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.

Answer:

a. 8x+12                      

b.6-x                            

c.20-8x

d.-3-9x

e.65-20x

f.6x^2+14x-8

g. 24x^2-8x

h. 9x^2+30x

1. x^2-13x+42

j. 26+4y

k. x^2-2x-24

l. x^2+13x+30

m. 429+23x

n. 15x-7

o. 2x-40

p. 68-13x

Step-by-step explanation:

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

Answer:

The number of extra glasses required is 3954.

Step-by-step explanation:

Total volume of water in a bottle = 370 liters

Number of  glasses, N = 46

capacity of each glass = 90 ml = 0.09 liter

The volume of water required to fill 46 glasses is

= 0.09 x 46 = 4.14 liter

The amount of water left = 370 -  4.14 = 355.86 liter

The number of extra glasses required to fill is

n = 355.86/0.09 = 3954

So, the number of extra glasses required is 3954.  

Answer:

l

Step-by-step explanation:

yeha bta hunxa...........

Answer:

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 22.0 lbs and standard deviation of 1.1 lbs.

This means that [tex]\mu = 22, \sigma = 1.1[/tex]

Find the probability that a newborn pup has a weight above 24.0 lbs.

This is 1 subtracted by the p-value of Z when X = 24. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 22}{1.1}[/tex]

[tex]Z = 1.82[/tex]

[tex]Z = 1.82[/tex] has a p-value of 0.9656.

1 - 0.9656 = 0.0344

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

Answer:

20 is the father's 20 is the son

Step-by-step explanation:

20+20=40

40/2=20

40-20=20

another way:

20:n= 40

40-20=20

20:20=40

Answer:

Step-by-step explanation:

let the age of son be x

x+x+20=40

2x=40-20

x=20/2

x=10

since age of a father is 20 more than his son's so,

x+20=father's age

10+20

30

therefore fathers age is thirty years and son age is 10 years

Answer: A/The LINE graph

Step-by-step explanation:

Answer:

y=5/2x+1

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept

so

y=5/2x+1

Answer:

A rectangle I think

Answer: 4

Step-by-step explanation:

I got this same question buddy im here to see the answer but there were not any

======================================================

Explanation:

Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).

This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).

In this case, a = 3 and b = -4, which means...

|v| = sqrt(a^2+b^2)

|v| = sqrt(3^2+(-4)^2)

|v| = sqrt(9+16)

|v| = sqrt(25)

|v| = 5

The vector is 5 units long.

Note: we have a 3-4-5 right triangle

Answer:

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A [tex]n_a=100[/tex]

Sample size B [tex]n_b=250[/tex]

Positive draw from box A [tex]n_a=50[/tex]

Positive draw from box b [tex]n_b=131[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{50}{100}[/tex]

 [tex]P_1=50%[/tex]

Therefore

 [tex]1-P_1=50\%[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{131}{250}[/tex]

 [tex]P_1=52.4%[/tex]

Therefore

 [tex]1-P_1=47.6\%[/tex]

Generally the equation for Standard error S.E is mathematically given by

 [tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]

 [tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]

 [tex]S.E=0.592[/tex]

 [tex]S.E=59.2\%[/tex]

Therefore

 [tex]Z=\frac{50-52.4}{59.2}[/tex]

Generally

 [tex]P value P>0.05[/tex]

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Answer:

A: 1 solution: the lines intersect at one point

B: (3,4), reference graph for solution

Step-by-step explanation:

A: solutions are equivalent to how many intersections two lines have, and we can see that these lines intersect once and won't intersect again

B: luckily the intersection point is super easy to plot, so we can just reference the graph for our solution!

Answer:

sorry I'm confused boy sorryy

h ( - 5 ) = - 2 × ( - 5 )

h ( - 5 ) = 10

____________________

f ( h ( - 5 ) ) = f ( 10 )

f ( 10 ) = 10 / 10 - 8

f ( 10 ) = 10 / 2

f ( 10 ) = 5