We first calculate the z-score corresponding to x = 1075 kWh. Given the mean of 1050 kWh, SD of 218 kWh, and sample size of n = 50, the formula for z is:
z = (x - mean) / (SD/sqrt(n)) = (1075 - 1050) / (218/sqrt(50)) = 0.81
From a z-table, the probability that z > 0.81 is 0.2090. Therefore, the probability that the mean of the 50 households is > 1075 kWh is 0.2090.
Answer:
x^2 + 10x + 25; (x + 5)^2.
Step-by-step explanation:
When we're talking about line segments, we just have to find the sum of the two parts of the line segment to find the value of the whole. In this case, we have x^2 + 25, and 10x. So, we add them together.
x^2 + 25 + 10x
= x^2 + 10x + 25
Since this can be immediately factored into (x + 5)^2, you have your answer.
Hope this helps!
For this, you use the Law of Distribution and multiply -1 by all terms in the parentheses. 7 • -1 = -7; -c • -1 = c. Then you combine them, but since c is a variable, -7 + c is the most simplified it can get. I hope this helped!
Answer:
Step-by-step explanation:
The formula of a surface area of a cylinder:
r - radius
H - height
We have r = 40mm and H = 50mm. Substitute:
Answer:
29
Step-by-step explanation:
Use PEMDAS
5^2 + 8 ÷ 2
25 + 8 ÷ 2
25 + 4
29
