Answer:
59°
Step-by-step explanation:
γ=cos^-1(18^2+22^2-20^2)/2*18*22)=58.99242°
Answer: 24 tests
Step-by-step explanation:
Ms. Carey graded 1/3 of the tests and still had 16 tests to go.
This means that the 16 tests represent the remaining proportion of the total number of tests:
= 1 - 1/3
= 2/3
2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:
2/3x = 16
x = 16 ÷ 2/3
x = 16 * 3/2
x = 24 tests
Answer: Q= -31
Step-by-step explanation:

x equals 25% of the cost.
.25 equals 25%
Therefore x=12
The awnser is $12
Answer: 20
Step-by-step explanation:
We assume that the heights of boys in a high school basketball tournament are normally distributed.
Given : Mean height of boys :
inches.
Standard deviation:
inches.
Let x denotes the heights of boys in a high school basketball tournament .
Then the probability that a boy is taller than 70 inches will be :-
![P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}](https://tex.z-dn.net/?f=P%28x%3E%2070%29%3D1-P%28x%5Cleq70%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B70-70%7D%7B2.5%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0%29%3D1-0.5%3D0.5%5C%20%5C%20%5Ctext%7B%5Bby%20using%20z-value%20table%5D%7D)
Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20