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3 years ago

What is the area of a rectangle that is 1/2 of a meter long and 3/8 of a meter wide?

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

Answer:

Step-by-step explanation:

note : the area of a rectangle is : A = L ×W

L : lenght W : the width

A = (1/2)(3/8) = 3/16 m²

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Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the pr

marin [14]

Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

Estimate of the proportion of 64%, hence $\pi = 0.64$ .

94% confidence level

So $\alpha = 0.94$ , z is the value of Z that has a p-value of $\frac{1+0.94}{2} = 0.97$ , so $z = 1.88$ .

Margin of error of <u>less than 0.008</u> is wanted, hence, we have to find n when M = 0.008.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}$

$0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}$

$\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}$

$(\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2$

$n = 12723.84$

Rounding up, Haley should sample 12,724 soldiers.

A similar problem is given at brainly.com/question/25404151

4 0

3 years ago

Sunil earns $12 in one hour d=hours and h=hours

Dennis_Churaev [7]

To find out how much Sybil would make in a certain amount of time, the equation would be:

h * 12

(hours times number of dollars per hour, which is 12)

Hope this helps!! :)

4 0

3 years ago

What is the solution to x3 + x2 s 10x - 8?

mrs_skeptik [129]

Answer:
Explanation: