Answer: 0.0026
Step-by-step explanation:
Given: Mean : 
Standard Deviation : 
Sample size : 
Formula to calculate z-score :-
For X=7.6 hours.
Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026
2x + 2x +2 are the integers
4x^2 + 4x^2 +8x +4 =884 (The sum of the integers squared)
8 x^2 +8x -880 = 0
x = 10
Therefore, the integers are:
20 and 22
Answer:
A) 66 inches
B) 3.5 inches
C) 38 inches
D) 3 inches
Step-by-step explanation:
A)
If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:
y = 3.5 * 36 - 60 = 66 inches
B)
As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.
C)
We just need to use y = 73 and then find x:
73 = 3.5x - 60
3.5x = 133
x = 38 inches
D)
If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:
dx = dy/3.5 = 10.5/3.5 = 3 inches
So the ceiling takes 5/6 gallon to paint. We know that you already have 1/30 gallon and another gallon in addition to that. We must convert the 5/6 into ?/30 so we can see how much we need to use. So if we convert 5/6 to out of 30, we get 25/30. So the first can has 1/30 gallon so we subtract that amount from the total paint needed. So now we only need 24/30 gallon to paint the ceiling. If we subtract that amount needed from the full (30/30) can we have left, that will give us the remaining amount of paint we have left. 30/30-24/30= 6/30. This reduces to 1/5. So there is 1/5 gallon of paint left over after painting the ceiling.
