Mathematics: Select the expression that is equivalent to the polynomial given below. (4x+3)(3x-8) a. 12x2 - 41x - 24 b. 12x2 - 23x - 24 c. 12x2 + 41x + 24 d. 12x2 - 23x + 24

6546 students would need to be sampled.Step-by-step explanation:In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.In whichz is the z-score that has a p-value of .The margin of error is:The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.This means that 90% confidence levelSo , z is the value of Z that has a p-value of , so . If the dean...

Select the expression that is equivalent to the

Ответ:

carterhoward

04.01.2022

Mathematics

B. 12x² - 23x - 24

Step-by-step explanation:

(4x + 3)(3x - 8)

4x(3x - 8) + 3(3x - 8)

(12x² - 32x) + (9x - 24)

12x² - 32x + 9x - 24

12x² - 23x - 24

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Ответ:

Kkgiddy

31.01.2020

Mathematics

6546 students would need to be sampled.

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

The margin of error is:

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

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that $n = 200, \pi = \frac{118}{200} = 0.59$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so Z = 1.645 .

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

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

$0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}$