Answer:
Step-by-step explanation:
you have a special triangle 30-60-90
the ration in this traingle is x, x
, 2x, where 2x is the hypothenuse
the hypothenuse is 12
x=12/2=6
the other leg is 6
=10.39
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation(square roof of the variance) and n is the size of the sample.
In this problem, we have that:

So



The value of the test statistic is 
Answer:
28 action movies
Step-by-step explanation:
- Set up a proportion:
- Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28
- So, if you have 35 comedy movies, you would have 28 action movies.
I hope this helps!
Hi there!
-10-2 is equal to -12, not -8. This changes everything.
The fraction would be -12/16, which simplifies to -3/4.
I hope this helps!
A.
= (x + 2)^2 - 4 - 11
= (x + 2)^2 - 15
B. vertex is at ( -2, -15) which is a minimum because the coefficient of x^2 is positive.
C. The axis of symmetry is a vertical line passing through the vertex It is
x = -2.