Answer:
25%
Step-by-step explanation:
16% answered "local government" to question 2.
9% answered "private donations" to question 2.
So the probability that a randomly selected response is either "local government" or "private donations" is 16% + 9% = 25%.
Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.
y = kx
k = y / x
y = 45 ; x = 40
k = 45/40
k = 1.125
y = 1.125x
y will increase by 1.125 interval of x.
Answer:
y = 0.2
Step-by-step explanation:
Simplifying
-6y + 5 = 29y + -2
Reorder the terms:
5 + -6y = 29y + -2
Reorder the terms:
5 + -6y = -2 + 29y
Solving
5 + -6y = -2 + 29y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29y' to each side of the equation.
5 + -6y + -29y = -2 + 29y + -29y
Combine like terms: -6y + -29y = -35y
5 + -35y = -2 + 29y + -29y
Combine like terms: 29y + -29y = 0
5 + -35y = -2 + 0
5 + -35y = -2
Add '-5' to each side of the equation.
5 + -5 + -35y = -2 + -5
Combine like terms: 5 + -5 = 0
0 + -35y = -2 + -5
-35y = -2 + -5
Combine like terms: -2 + -5 = -7
-35y = -7
Divide each side by '-35'.
y = 0.2
Simplifying
y = 0.2
Answer:
Graph is attached below.
Step-by-step explanation:
If you want to solve for the variable x,
x = −4 / 5y + 7 / 5
The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80).
Note that the number of defectives in the inventory is fixed, i.e., we are not told that there
is 1
8 probability that a modem in the inventory is defective, but rather that exactly 1
8
of
all modems are defective. The probability that exactly two modems in a random sample
of five are defective is = 0.102
