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
From right triangle trigonometry, we have the following:

,
where the "opposite side" means the opposite side to angle with measure

, and "adjacent side" means the adjacent side to angle with measure

.

is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives

Thus, back in the equation

we substitute as follows and solve:


Answer: 8.4 cm
Answer:
Angle C = 142 degrees
Step-by-step explanation:
A+B = 90
B+C = 180
Rearrange first equation to get B = 90-A
Plug this into the second equation:
90-A + C = 180
C = A + 90
Plug in A, C = 52 + 90 = 142
I believe it’s X = 4
So 4 would be the answer
My best Guess is
1.282 for upper . , -1.282 for lower.
Hope this Helps
-Dante