<h2>
Answer with explanation:</h2>
Let 
be the population mean.
By observing the given information, we have :-
Since the alternative hypotheses is left tailed so the test is a right-tailed test.
We assume that the time spend by students per day is normally distributed.
Given : Sample size : n=121 , since n>30 so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-
Critical value (one-tailed) corresponds to the given significance level :-
Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.
Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
1. vertex is -4 because:
x^2-8x-20,
a=1, b=-8 , c=-20
use vertex form! -b/2a = -8/2(1) = -8/2 = -4.
2. axis of symmatry is the x which is also -4. The same steps go for the second one.
3. y intercept, I think the answer is -20. Im not sure for this one.
IF YOU LIKE THIS ANSWER PLEASE GIVE ME BRAINLIEST.
Thx lolololoooopoooooooolol
length of a rectangle is 6 less than 3 times its width"
L = 3W-6
"perimeter of the rectangle is 148 meters"
2L + 2W = 148
L + W = 74
(3W-6) + W = 74
4W = 80
W = 20 m
L = 3W-6 = 54 m
