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3 years ago

Find the product of (p-1)^2

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

Answer:

p^2-2p+1

Step-by-step explanation:

(p-1)^2

Using the formula (a-b)^2=a^2-2ab+b^2

Applying the formula (p-1)^2=p^2-2(1)(p)+1^1=p^2-2p+1

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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

zhannawk [14.2K]

Answer:

a) 0.6032

Lower limit: 0.48

Upper limit: 0.72

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Question a:

In a random sample of 63 professional actors, it was found that 38 were extroverts.

We use this to find the sample proportion, which is the point estimate for p. So

$\pi = \frac{38}{63} = 0.6032$

Question b:

Sample of 63 means that $n = 63$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 - 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.4824$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 + 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.724$

Rounding to two decimal places:

Lower limit: 0.48

Upper limit: 0.72

7 0

3 years ago

What is 627 divided by 24

murzikaleks [220]

Simple....

$\frac{627}{24}$ -->>>

As an improper fraction:

$\frac{209}{8}$

As a decimal:

26.125

As a mixed number:

$26 \frac{1}{8}$

Thus, your answer.

3 0

3 years ago

Read 2 more answers

Please help!!!!<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-2n-2%7D%7B12%7D%20%3D%2012" id="TexFormula1" title=" \fra

yanalaym [24]

$\frac{-2n-2}{12} = 12 \\ \\ \frac{-2(n + 1)}{12} = 12 \ / \ factor \ out \ 2 \\ \\ - \frac{n+1}{6} = 12 \ / \ simplify \\ \\ -n - 1 = 12 \times 6 \ / \ multiply \ each \ side \ by \ 6 \\ \\ -n - 1 = 72 \ / \ simplify \\ \\ -n = 72 + 1 \ / \ add \ 1 \ to \ each \ side \\ \\ -n = 73 \ / \ simplify \\ \\ n = -73 \ / \ multiply \ each \ side \ by \ -1 \\ \\$

So, your answer to this problem is n = -73.

7 0

3 years ago

Read 2 more answers

Write a point-slope equation for the line that passes through the point (8,1) and is parallel to the line given by y 5.8x-9. Do

kvasek [131]

We know that
the equation of a line is
y-y1=m*(x-x1)

we have
y=5.8x-9-----> the slope m=5.8
if the lines are parallel
then
the slopes are the same
point <span>(8,1)
</span>y-y1=m*(x-x1)----> y-1=5.8*(x-8)

the answer is
y-1=5.8*(x-8)

5 0

3 years ago

Assume you are working with a standard deck of 52 cards. There are 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and

Bond [772]

Answer:

Step-by-step explanation:

4/52 + 4/52 = 8/52 or 4/13

4 0

3 years ago