Answer:
9 inches
Step-by-step explanation:
The volume of a pyramid is given as:

where l = length of base of pyramid
w = width of base of pyramid
h = height of pyramid
The volume of the cylinder is already known (
) and the other two dimensions are known as 5 in and 7 in.
From the formula of the volume of the pyramid, the height of the pyramid is given as:

Hence, the height of the pyramid is:

The pyramid's height is 9 inches.
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
The answer to this problem is 100
Answer:
12
Step-by-step explanation:
there are 60 minutes in a hour
60/20 is 3
so you muiltply 4 and 3 to get 12
The 3 inside angles of a triangle equal 180 degrees.
Angle 1 = 180 - 117 - 33 = 30
The answer is A. 30