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2 years ago

The area of this circle is 72π m^2 what is the area of a 45° sector of this circle

Mathematics

1 answer:

LekaFEV [45]2 years ago

4 0

A 45° sector is 1/8 of the area of the circle, so is (72π m^2)/8 = 9π m^2.

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Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

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

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of z for 95% confidence level is:

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

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0

2 years ago

Solve the system of equations. 7y + 10.x = -11 4y - 3x = -15

Sidana [21]

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

40y-30x=-150 x's cancel out so solve for y

61y = -183

/61 /61

y = -3 insert y into either equation and solve for x

4(-3) -3x=-15

x = 1

7 0

2 years ago

Find the slope of the line that passes through the two points. (0, 0), (3, 2)

Anit [1.1K]

Answer:

the slope is 2/3 bcoz u do 2-0/3-0

4 0

2 years ago

Evaluate [7 - (2 - 5(4 - 2) + 7)] + 2

motikmotik

You are correct. here it is step by step.

[7-(2-5(2)+7)] +2
[7-(2-10+7)]+2
[7-(-1)]+2
8+2
10

7 0

2 years ago

Read 2 more answers

The table shows a basketball player score in 5 Games how many points must the basketball players score in the next game to achie

bogdanovich [222]

Answer:

You would have to score 17 points.

Step-by-step explanation:

13x6=78 is the points you have to reach to get 13 points per game.

Add up all numbers, which is 61.

78-61=17

That is your answer.

3 0

3 years ago