Answer:
√3
Step-by-step explanation:
opposite side (√3)/2
tan 60 degrees = ------------------------- = ------------ = √3
adjacent side 1/2
What is the monthly payment for an $8,720 loan at 12.5 percent for 15 years?
$107.43
$10,617.40
$16,088.40
$19,337.40
The monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84
How to calculate the compound interestThe formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
Given
P = $8720
r = 12.5% = 0.125
n = 12
t = 15
Substitute
A = 8720(1+0.125/12)^180
A = 1.8622 * 8720
A = $56,312.74
Monthly payment = 56,312.74/180
Monthly payment = 312.84
Hence the monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84
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2x + y = 2
x – 2y = -4
what is x and y?
Answer:
x = 0
y = 2
Step-by-step explanation:
2x + y = 2 (Multiply by 2)
x – 2y = -4
4x + 2y = 4
x – 2y = -4
5x = 0
x = 0
2x + y = 2
2(0) + y = 2
0 + y = 2
y = 2
A horse 64 feet from the center of a merry-go-round makes 27 revolutions. In order to travel the same distance, how many revolutions would a horse 16 feet from the center have to make?
what are the next three terms of the following sequence
1,4,6,11,21,38
The next three terms of the sequence 1, 4, 6, 11, 21, 38 are 70, 123, 216.
To find the next term in the sequence, we need to identify the pattern or rule governing the sequence. Looking at the given terms, we can observe that each term is obtained by adding the previous term and a specific number.
From the given sequence:
4 = 1 + 3
6 = 4 + 2
11 = 6 + 5
21 = 11 + 10
38 = 21 + 17
The difference between the consecutive terms appears to be increasing by 1 each time. So, we can infer that the next difference would be 17 + 1 = 18.
Now, to find the next term:
38 + 18 = 56
56 + 19 = 75
75 + 20 = 95
Therefore, the next three terms of the sequence are 70, 123, 216.
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if you order one donut, and you know that it is not the blueberry one, what is the probability that it is the chocolate one?
Given that you order one donut and you know that it is not the blueberry one. We need to determine the probability that it is the chocolate one.
Say we have 3 flavors of donuts such as Blueberry, Chocolate and Glazed. There are a total of 3 possibilities for the first choice. If we assume that the person randomly selects one of these donuts, each donut is equally likely to be chosen.
Here, The donut selected is not the blueberry one and we need to find the probability that it is the chocolate one. Number of blueberry donuts = 1Probability of choosing the blueberry donut = 1/3 (Since there are 3 possible donuts and only 1 of them is the blueberry one) Therefore, the probability of choosing a chocolate donut is 1 - 1/3 = 2/3.
Similarly, the probability of choosing a glazed donut is also 2/3. Thus, the probability of choosing a chocolate donut or a glazed donut is 2/3. Answer: 2/3.
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Please help me!!! I will try to mark brainliest if the answer is correct!
Answer:
I think the first is answer bcz 35+55=90 ..... 180-90=90
Find the value of x, then find each angle measure.
Answer:
x = 9
m<J = 57
m<K = 44
m<L = 79
Step-by-step explanation:
Theorem:
The sum of the measures of the angles of a triangle is 180°.
We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.
7x - 6 + 3x + 17 + 9x - 2 = 180
Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9
19x + 9 = 180
Subtract 9 from both sides.
19x = 171
Divide both sides by 19.
x = 9
Now we find the measure of each angle.
m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57
m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44
m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79
anyone know the answers to 3, 4, 5 and six
(450) + (28.75x) = 967.50
solve for x
Answer:
18
Step-by-step explanation:
Hello,
In order to solve for x, we need to isolate the variable on one side of the equation.
To do this, we subtract 450 from both sides of the equation, and this will give you:
28.75x = 517.5
As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.
x = 18
Hope this helps!
I really need help please and thank you
Answer:
x = 8
Step-by-step explanation:
You can set up the equation 6/4 = 12/x and then cross multiply to solve for x
The ages (in years) of nine men and their systolic blood pressures (in millimeters of mercury) are given below. Age 16 25 39 49 22 57 22 64 70 118 175 118 185 199 Systolic blood pressure 109 122 143 199 a) Name the dependent and independent variables [2 marks] b) Calculate the correlation coefficient and interpret your results. [12+2 marks] c) Find the coefficient of determination and interpret your results. [2 marks] d) Develop the regression equation for the data set. e) Predict the blood pressure of a 50-year-old man
a) Dependent variable: Systolic blood pressure
Independent variable: Age
b) Calculations: xi (age) yi (Systolic blood pressure)xiyi (age × systolic blood pressure)xi^2 (age²)yi^2 (systolic blood pressure²)16 109 1,744 256 11,88125 122 3,050 625 14,88439 143 5,577 1,521 20,44949 199 9,751 2,401 39,60122 118 2,596 484 13,92457 175 9,975 3,249 30,62522 118 2,596 484 13,92464 185 11,840 4,096 34,22570 199 13,930 4,900 39,601∑x = 561∑y = 1,450∑xy = 61,059∑x² = 19,200∑y² = 249,141r = [9 (∑xy) - (∑x)(∑y)] / sqrt([9∑x² - (∑x)²][9∑y² - (∑y)²]) = 0.664- The correlation is moderate positive. As age increases, systolic blood pressure also increases.
c) R² = r² = 0.4416- 44.16% of the variability in systolic blood pressure is explained by age.
d) Regression Equation: y = a + bx where a = (y mean) - b (x mean) Using the means x mean = 62.3 and y mean = 161.1a = (161.1) - b (62.3)a = 33.62y = 33.62 + 1.083x
The regression equation is y = 33.62 + 1.083x.
e) Predicting the blood pressure of a 50-year-old man:y = 33.62 + 1.083xy = 33.62 + 1.083(50)y = 33.62 + 54.15y = 87.77
The predicted blood pressure is 87.77.
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is the equation y = x ^2 + 3 a function?
Answer: Yes it is
Step-by-step explanation:
Answer:
Yes it is. Succese to The homework
Qn) Consider an IQ test for which the scores of adult Americans are known to have a normal distribution with expected value 100 and Variance 324, and a second IQ test for which the scores of adult Americans are known to have a normal distribution with expected value 50 and Variance 100. Under the assumption that both tests measure the same phenomenon ("Intelligence"), what score on the Is cond test is comparable to a score of 127 on the first test? I plain your answer
The score on the second test that is comparable to a score of 127 on the first test is 131.
Given that: IQ test for which the scores of adult Americans are known to have a normal distribution with an expected value of 100 and Variance of 324 and another IQ test for which the scores of adult Americans are known to have a normal distribution with an expected value of 50 and Variance 100.
Let x denote the first test score that is comparable to a second test score of 127. Then, we have; (127 − 100) / 18 = (x − 50) / 10 (the z-scores corresponding to the scores)
Simplifying the above equation gives;
(127 − 100) × 10 = (x − 50) × 18
Solve for x as follows;
(127 − 100) × 10 + 50 = (x) × 18
Hence, x = 131
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The score on the second test which is equivalent to a score of 127 on the first test is 4.332, or approximately 4.33 (rounded to two decimal places).
If X1, X2 are the IQ scores of the first and second tests respectively, we are given that X1 and X2 are both normally distributed. This means that their expected values and variances are known.
E(X1) = 100, Var(X1) = σ1² = 324E(X2) = 50, Var(X2) = σ2² = 100
We need to find the score, x on the second test which is equivalent to a score of 127 on the first test.
Therefore, we need to find
P(X1 ≤ 127) and then solve for x so that
P(X2 ≤ x) = P(X1 ≤ 127).
We know that
Z1 = (X1 - μ1) / σ1 and
Z2 = (X2 - μ2) / σ2 where μ1, μ2 are the respective expected values.
For a given probability P(Z ≤ z), we can find z using a standard normal table. Therefore, we can rewrite P(X1 ≤ 127) in terms of Z1 as follows;
P(X1 ≤ 127) = P((X1 - μ1) / σ1 ≤ (127 - μ1) / σ1) = P(Z1 ≤ (127 - μ1) / σ1) = P(Z1 ≤ (127 - 100) / 18) = P(Z1 ≤ 1.5)
The corresponding score on the second test, X2 can be found using;
Z2 = (X2 - μ2) / σ2 ⇒ X2 = σ2 Z2 + μ2
From the given values, μ2 = 50 and σ2 = 10.
Therefore,
X2 = σ2 Z2 + μ2 = 10 Z2 + 50
We need to find the value of x such that
P(Z2 ≤ x) = P(Z1 ≤ 1.5).
From a standard normal table,
we have P(Z ≤ 1.5) = 0.9332 and therefore,
P(Z2 ≤ x) = 0.9332 implies that
x = (0.9332 - 0.5) / 0.1 = 4.332.
Therefore, the score on the second test which is equivalent to a score of 127 on the first test is 4.332, or approximately 4.33 (rounded to two decimal places).
We are given
E(X1) = 100, Var(X1) = σ1² = 324E(X2) = 50, Var(X2) = σ2² = 100
We need to find x such that P(X1 ≤ 127) = P(X2 ≤ x).
Therefore, we find P(X1 ≤ 127) in terms of Z1 as follows;
P(X1 ≤ 127) = P(Z1 ≤ (127 - 100) / 18) = P(Z1 ≤ 1.5) = 0.9332
The corresponding value of X2, denoted by x can be found from
P(Z2 ≤ x) = P(Z1 ≤ 1.5).
From a standard normal table, we have
P(Z ≤ 1.5) = 0.9332 and therefore,
P(Z2 ≤ x) = 0.9332 implies that
x = (0.9332 - 0.5) / 0.1 = 4.332.
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You measure 39 textbooks' weights, and find they have a mean weight of 56 ounces. Assume the population standard deviation is 9 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
_____ < μ < _______
The 95% confidence interval for the true population mean is 53.18 < μ < 58.82
What is the 95% confidence interval?To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:
CI = x ± Z * (σ/√n)
where:
x is the sample mean,
Z is the critical value for the desired confidence level (95% confidence corresponds to Z = 1.96),
σ is the population standard deviation, and
n is the sample size.
In this case, the sample mean x is 56 ounces, the population standard deviation σ is 9 ounces, and the number of textbooks measured n is 39.
Plugging these values into the formula, we have:
CI = 56 ± 1.96 * (9/√39)
Calculating the values:
CI = 56 ± 1.96 * (9/√39)
CI = 56 ± 1.96 * (9/6.24)
CI = 56 ± 1.96 * 1.44
CI = 56 ± 2.82
Therefore, the 95% confidence interval for the true population mean textbook weight is approximately:
53.18 < μ < 58.82
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A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by
H(x)= -3(x-3)^2+108
What is the height of the hovercraft at the time of takeoff?
PLS I NEED THIS ASAP
9514 1404 393
Answer:
81 m
Step-by-step explanation:
Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).
H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81
The height of the hovercraft at the time of takeoff is 81 meters.
What is the simplified form of the following expression? Assume y does not equal 0. 3 square root 12x^2 over 16y
Answer:
Ok y does not = 0 (They say this because is y=0 it would be undefined anything divided by 0 is undefined)
[tex](3\sqrt{12x^2})/16y\\[/tex]
Answer: [tex](3x\sqrt{3})/8y[/tex]
You will get 40 points if you help me and Brainliest!
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
is 700 yards bigger then 2000 feet?
Answer:
Yes, 700 yards bigger than 2000 feet because 700 yards = 2100 feet
Step-by-step explanation:
There are 3 feet in a yard, so that means we need to multiply 700 yards by 3 to get the number of feet there are in 700 yards.
700 yards × 3 feet = 2100 feet
700 yards = 2100 feet
2100 feet > 2000 feet
Answer:
Yes!
Step-by-step explanation:
700 yards is equal to 2100 feet, making it 100 feet longer.
Suppose that you used technology to find the least-squares regression line from a table of values for two variables and the results were displayed as follows.
m = -0.03576 b = 42.17093 r^2 = 0.8914 r = -0.9438
What can we say about the relationship between the two variables?
Since the r-value is quite close to -1 (only 0.0562 away), we can conclude that the two variables are strongly negatively associated. This implies that when one variable increases, the other variable decreases.
In statistics, the correlation coefficient is used to quantify the linear relationship between two variables. The r-value ranges from -1 to 1, indicating the degree to which the variables are positively or negatively associated.
The r-value measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1.
The closer the r-value is to -1, the stronger and more negative the correlation is.
The closer the r-value is to 1, the stronger and more positive the correlation is.
A value of 0 indicates that there is no linear relationship between the variables.In this case, the r-value is -0.9438.
Because the r-value is negative, the two variables are negatively associated. The closer the r-value is to -1, the stronger the negative association is.
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what is the diameter of a circle with a circumference of 56 inches?
Answer:
17.83in
Step-by-step explanation:
Diameter of circle with circumference 56 inches 17.81 inches .
Given,
Circumference = 56 inches
Now,
Circumference of circle = 2πr
r = radius of circle.
Substitute the values to get the value of radius,
56 = 2 × π × r
56 = 2× 22/7× r
r = 56 × 7/44
r = 8.909 inches.
Next,
Diameter = 2 (Radius)
Diameter = 2 * 8.909
Diameter = 17.81 inches .
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7 2/3 +-5 1/2+8 3/4 solve.
Answer:
big shaq
Step-by-step explanation:
carol is making baby blankets for her daughters twins. If one blanket needs 43/4 yd of fabric, how much fabric does carol need for two blankets?
Answer:
21 1/2 yd
Step-by-step explanation:
43/4 + 43/4 = 21 1/2 yd
Which is more, 8 yards or 24 feet?
Answer:
They are the same thing!
Step-by-step explanation:
8*3=24 (Because 1 yard is 3 feet)
24 = 24!
Answer:
8yd 24ft= 48ft 0.000000in
Step-by-step explanation:
Question is in picture
Answer:
the answer will be 14,3 ok but check it
Let f(x) = 2x–8 and g(x) = x + 2. Find f(g(x)) and g(f(x)).
Answer:
g(f(x)) = 2x - 6
f(g(x)) = 2x - 4
Step-by-step explanation:
g(f(x)) = 2x - 8 + 2
g(f(x)) = 2x - 6
f(g(x)) = 2(x + 2) - 8
f(g(x)) = 2x - 4
Answer: g ( 2 x − 8 ) = 2 x− 6
Step-by-step explanation: MAKE ME BRAINLIEST!!!!!
heLp pls sOmeBoDy and tyy
Answer :
AB = 48.88
Step-by-step explanation:
We will use the sin fulmera
[tex] \frac{ \sin(134°) }{ab} = \frac{ \sin(18°) }{21} \\ \\ ab = 48.88[/tex]
I hope that is useful for you :)
Answer:
48.9
Step-by-step explanation:
[tex]\frac{A}{sinA}=\frac{B}{sinB} =\frac{C}{sinC}[/tex] (you can flip the equation around)
[tex]\frac{21}{sin18} = \frac{AB}{sin134}[/tex]
[tex]AB=\frac{21*134}{sin18}= 48.88448235[/tex]
Sorry for the late answer I was distracted
. Find the area under the standard normal curve. from z = 0 to z = 1.46 from z = -0.32 to z = 0.98 from z = 0.07 to z = 2.51 to the right of z = 2.13 to the left of z = 1.04|
The areas under the standard normal curve are:
From z = 0 to z = 1.46: approximately 0.4306From z = -0.32 to z = 0.98: approximately 0.6126From z = 0.07 to z = 2.51: approximately 0.4959To the right of z = 2.13: approximately 0.0161To the left of z = 1.04: approximately 0.8508What is the area under the standard normal curve?To find the area under the standard normal curve, we can use a standard normal distribution table or a calculator.
Area from z = 0 to z = 1.46:
Using a calculator, the area under the curve from z = 0 to z = 1.46 is 0.4306.
Area from z = -0.32 to z = 0.98:
Using a calculator, the area under the curve from z = -0.32 to z = 0.98 is 0.6126.
Area from z = 0.07 to z = 2.51:
Using a calculator, the area under the curve from z = 0.07 to z = 2.51 is 0.4959.
Area to the right of z = 2.13:
Using a calculator, the area to the right of z = 2.13 is 0.0161.
Area to the left of z = 1.04:
Using a calculator, the area to the left of z = 1.04 is 0.8508.
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Pleaseee answer these two questions helppppp ill give you brainliest answer if you knowwww help pleaseeee
Answer:
The theoretical probabilty of the coin landing on tails is 50/50 so their is a 50% chance of it landing on tails so theoretically it would land on tails 15 out of 30 times
Step-by-step explanation:
Find m∠MON..........
Use the given conditions to write an equation for the line Passing through ( - 3,8) and parallel to the line whose equation is 3x - By - 7 = 0 The equation of the line is (Simplify your answer. Type an equation using x and y as the variables.
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
To find the equation of a line parallel to the given line, we need to determine the slope of the given line. The equation of the given line is 3x - By - 7 = 0.
We can rewrite this equation in the slope-intercept form (y = mx + b), where m represents the slope and b is the y-intercept. By rearranging the equation, we have:
By - 7 = -3x
By = -3x + 7
Dividing both sides by B (assuming B ≠ 0):
y = (-3/B)x + 7/B
From the equation y = (-3/B)x + 7/B, we can see that the slope of the given line is -3/B.
Since the line we're looking for is parallel to the given line, it will have the same slope. Therefore, the slope of the line we seek is also -3/B.
We are given that the line passes through the point (-3, 8). We can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
Substituting the values (-3, 8) for (x1, y1) and -3/B for m:
y - 8 = (-3/B)(x - (-3))
y - 8 = (-3/B)(x + 3)
Multiplying through by B:
By - 8B = -3(x + 3)
Simplifying:
B*y - 8B = -3x - 9
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
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