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3 years ago

I WILL GIVE BRAINLIEST

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:

Part A = 64 feet

Part B = 79 feet

Step-by-step explanation:

Part A

10 × 2 = 20 = Diameter

Formula is C = π × diameter

20 × π = 62.8318530718 feet = 64 feet

Part B

25 × 2 = 50

Same formula

50 × π = 157.079632679 feet

157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet

divide by 2 because it is a semi circle

Hope his helped :)

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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

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Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

Step-by-step explanation:

The confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The margin of error in this interval is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The information provided is:

MOE = 0.02

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

(a)

Assume that the proportion value is 0.50.

Compute the value of n as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\n=\frac{1.96^{2}\times0.50(1-0.50)}{0.02^{2}}\\=2401$

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of n as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.55(1-0.55)}{n}}\\n=\frac{1.96^{2}\times0.55(1-0.55)}{0.02^{2}}\\=2376.99\\\approx2377$

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

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4 years ago

Which expression represents the number 13,809 written in expanded form?

Brums [2.3K]

The answer is D and not b because it’s not 90 it’s 09

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4 years ago

What is Negative 2 (3 x + 12 y minus 5 minus 17 x minus 16 y + 4) simplified? Negative 40 x + 8 y + 2 28 x + 8 y + 2 28 x + 6 y

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Answer:

Step-by-step explanation:

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4 years ago

Read 2 more answers

Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 -

dimaraw [331]

Answer:

The y-coordinate of point A is $\sqrt{3}$ .

Step-by-step explanation:

The equation of the circle is represented by the following expression:

$(x-h)^{2}+(y-k)^{2} = r^{2}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $h = 0$ , $k = 0$ and $r = 2$ , then the equation of the circle is:

$x^{2} + y^{2} = 4$ (1b)

Then, we clear $y$ within (1b):

$y^{2} = 4 - x^{2}$

$y = \pm \sqrt{4-x^{2}}$ (2)

If we know that $x = 1$ , then the y-coordinate of point A is:

$y = \sqrt{4-1^{2}}$

$y = \sqrt{3}$

The y-coordinate of point A is $\sqrt{3}$ .

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3 years ago

The time it takes for a planet to complete its orbit around a particular star is called the? planet's sidereal year. The siderea

BartSMP [9]

Answer:

(a) See below

(b) r = 0.9879

(d) See below

(e) No.

Step-by-step explanation:

(a) Plot the data

I used Excel to plot your data and got the graph in Fig 1 below.

(b) Correlation coefficient

One formula for the correlation coefficient is

$r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

(i) Calculate the intermediate numbers

We can display them in a table.

x y xy x² y²

36 0.22 7.92 1296 0.05

67 0.62 42.21 4489 0.40

93 1.00 93.00 20164 3.46

433 11.8 5699.4 233289 139.24

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(ii) Calculate the correlation coefficient

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(c) Regression line

The equation for the regression line is

y = a + bx where

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(d) Residuals

Insert the values of x into the regression equation to get the estimated values of y.

Then take the difference between the actual and estimated values to get the residuals.

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36 0.22 -10 10

67 0.62 -8 9

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2797 163.0 170 - 7

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A linear model would have the residuals scattered randomly above and below a horizontal line.

Instead, they appear to lie along a parabola (Fig. 2).

This suggests that linear regression is not a good model for the data.

4 0

3 years ago