Find the distance between points P(8,8) and Q(4,9) to the nearest tenth

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

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 $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

sergey [27]

Because it is an isosceles triangle, the two longer sides are the same length. Therefore multiply 6.3 times 2.
To find the length of the base subtract 12.6 from 15.7 to get 3.1 cm.

8 0

3 years ago

Read 2 more answers

Using the net below, find the surface area

polet [3.4K]

Answer:

56 cm^2

Step-by-step explanation:

Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.

Area of square base (side^2)

4^2 = 16 cm^2

Area of ONE triangular face (1/2 x b x h):

1/2 x 4 x 5 = 10 cm^2

Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2

ADD all the areas of triangles and square:

16 cm^2 + 40 cm^2 = 56 cm^2

HOPE THIS HELPS

Have a nice day!

4 0

2 years ago

Can u tell exolain this to me in 5 sentences

maks197457 [2]

A late assignment is very much like a late payment on a credit card bill. If you lose 10 points for every day that an assignment is late and you have to pay a fee for however many days you forgot to pay the bill, (you are losing money for having to pay an extra fee). If you start the habits of turning in assignments in late. Those habits will be carried with you into adulthood and you will owe a sum of money since you have failed to pay a bill on time. You will lose points for late work and you will lose money for late bills.

8 0

3 years ago

In 2007, Consumer Reports published the results of an investigation of broiler chickens purchased at stores in 23 states. Testin

vovikov84 [41]

Answer:

30% Honestly idk

Step-by-step explanation:

jhs

5 0

3 years ago