Answer:
4/8 and then 1/2so 1/2 is the final answer
Answer:
mean = 1 power failure
variance = 1 (power failure)²
Step-by-step explanation:
Since the mean is computed as
mean = E(x) = ∑ x * p(x) for all x
then for the random variable x=power failures , we have
mean = ∑ x * p(x) = 0 * 0.4 + 1* 0.3 + 2*0.2 + 3* 0.1 = 1 power failure
since the variance can be calculated through
variance = ∑[x-E(x)]² * p(x) for all x
but easily in this way
variance = E(x²) - [E(x)]² , then
E(x²) = ∑ x² * p(x) = 0² * 0.4 + 1²* 0.3 + 2²*0.2 + 3²* 0.1 = 2 power failure²
then
variance = 2 power failure² - (1 power failure)² = 1 power failure²
therefore
mean = 1 power failure
variance = 1 power failure²
Answer:

Step-by-step explanation:
Let
x ----> the number
we know that
The phrase " the phrase: the difference of a number and 9" is equal to
subtract the number 9 from the number x
(x-9)
The phrase" no more than 95" means "less than or equal to 95" (≤95)
so
The inequality that represent this situation is

Cant really show you how to do it but the graph would start at the y axis at (0,-2) then from there each point would move to the left 4 and up 7 or back 4 and down 7. It would form a straight line.