Answer:
No
Step-by-step explanation:
Answer:
-7 degrees
Step-by-step explanation:
Make sure to double check, but I think this is the answer.
We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:

where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find
.
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,

Therefore, the 23rd term in the AP is -464.
Hope it helps. :)
Answer:
XM = 7
Step-by-step explanation:
M is the midpoint of XY , thus
XM = MY ( given XY is 7 ) , then
XM = 7
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.