Answer is choice C) cosine is even; sine is odd
The properties that come with even and odd functions are...
f(-x) = f(x) indicates we have an even function. So cos(-x) = cos(x)
f(-x) = -f(x) indicates we have an odd function. So sin(-x) = -sin(x)
note: the end result of the proof will lead to cos(A)cos(B)+sin(A)sin(B)
Answer
a) y | p(y)
25 | 0.8
100 | 0.15
300 | 0.05
E(y) = ∑ y . p(y)
E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05
E(y) = 50
average class size equal to E(y) = 50
b) y | p(y)
25 | 
100 | 
300 | 
E(y) = ∑ y . p(y)
E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3
E(y) = 130
average class size equal to E(y) = 130
c) Average Student in the class in a school = 50
Average student at the school has student = 130
Answer:
x=3
Step-by-step explanation:
12x-14=4x+10
Subtract 4x from each side
12x-4x-14=4x-4x+10
8x - 14 = 10
Add 14 to each side
8x - 14+14 = 10+14
8x = 24
Divide each side by 8
8x/8 = 24/8
x = 3
5 times as many. Since dog B has 2 and dog A has 10, A = 2 * X, since you’re solving for the multiplication comparison. 10/2 = 5, so you’ve got 5 times as many.
Examples would be 2+6 = 8 with two of the integer that are different