Answer:
160 dollars per month
Step-by-step explanation:
Well you know the total amount paid is 480 dollars and payments are made once a month for three months.
Divide 480 by three to find the amount paid per month
480/3=160
160 dollars per month
We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.
Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

Therefore, our variance is 225.
Answer:
3x + 7
Step-by-step explanation:
<u>Step 1: Distribute the plus</u>
(x + 4) + (2x + 3)
x + 4 + 2x + 3
<u>Step 2: Combine like terms</u>
x <u>+ 4</u> + 2x <u>+ 3</u>
<em>3x + 7</em>
<em />
Answer: 3x + 7
<u>If needed solve</u>
3x + 7 - 7 = 0 - 7
3x / 3 = -7 / 3
<em>x = -7/3</em>
Answer:
1) <11 and <14 are Same-Side Exterior Angles causing them to be supplementary.
2. <8 and <9 are Same-Side Interior Angles causing them to be supplementary.
Step-by-step explanation:
See answer above.
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.