ANSWER
EXPLANATION
We have been given the quotient,
to simplify.
We need to rewrite the numerator as difference of two cubes.
We need to make use of the difference of cubes formula,
We now let,
Then the numerator becomes,
This simplifies to,
We cancel out common factors to obtain,
Answer:
We can write:
x + y = -2
xy = -80
We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).
Answer: 0.3974
Step-by-step explanation:
Given : The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
Real annual returns on U.S. common stocks had mean : 
Standard deviation : 
We assume that the past pattern of variation continues.
Let x be the random variable that represents the annual returns on common stocks over the next 32 years .
The formula for z-score : 
For x= 0.14, 
By using the standard normal distribution table , we have
The probability that the mean annual return on common stocks over the next 32 years will exceed 14% :-
A permutation, since once you choose one member to be in the team, that same person cannot be chosen again. A combination requires us to be able to freely choose the same item in a set as many times as we may wish. A permutation restricts the amount of times we can choose an item in a set.
Answer:
angle 1 =135
Step-by-step explanation:
it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180
4x=180
x=45 or angle 2
180-45=135 or angle 1
Multiply angle 2 by 3 to check if its correct
