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3 years ago

What is the area of this?

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

54.88in

Step-by-step explanation:

That is a rectangle minus a semicircle.

Area of Rectangle - Area of Semicircle = TA

1. $lw-\frac{\pi r^{2}}{2} =TA$

2. $(10)(8)-\frac{\pi 4^{2}}{2} =TA$

3. Exact form: 80-8 $\pi$

Decimal form: 54.86725877

The closest answer you have there is 54.88in so just put that

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A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this i

zzz [600]

Answer:

$z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615$

The p value for this case would be:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

$\hat p=\frac{36}{100}=0.36$ estimated proportion of people who take R supplement

$p_o=0.39$ is the value that we want to test

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615$

The p value for this case would be:

$p_v =2*P(z$

8 0

2 years ago

Can someone help me on 6?

fomenos

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

<u><em>Hope This Helps!</em></u>

6 0

3 years ago