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 of:

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

30 M & M's from a bag, and 3 of them are green.

This means that $n = 30, \pi = \frac{3}{30} = 0.1$

Standard 95% confidence level

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

Margin of error:

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

$M = 1.96\sqrt{\frac{0.1*0.9}{30}}$

$M = 0.1074$

The margin of error of his experiment is of 0.1074.

5 0

3 years ago

Simplify the following expression 1 - (24-16c) 4

raketka [301]

Answer:

-24 + 16c

Step-by-step explanation:

There are a couple things we need to know here:

We need to know how to distribute a negative
We need to know that we cannot combine 24 and -16c, because we can only combine like terms (we can only combine terms that don't have a c with other terms that don't have a c).

To help distribute a negative, we can first write the problem like this:

-1 * (24 - 16c)

So all we're doing is multiplying -1 by 24 and by -16c, which will get us:

-24 + 16c, which is the answer.

7 0

4 years ago

Rosie is training for the next football match. She runs around a circular track with a radius of 60 metres how far has Rosie run

harina [27]

Use the equation C = 2πr where r is the radius to find the circumference of the track. That is the perimeter around which she has run:

C = 2πr

C = 2π(60 meters)

C = 120π meters ≈ 377 meters

4 0

3 years ago

36.18 litres = _____ litres ______millilitres

36.18 litres = _ litres __millilitres