About 2.86 inches
Step by step explanation-
The formula for the volume of a cone is pi2 h/3 plugging the known numbers into formula you get
75=pi 5^2 h/2
H/3=0.955
H=2.86 inches
Answer: The length of the line B'C" is 1 unit.
Step-by-step explanation:
Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.
If A (2,2), B= (4,3) and C=(6,3).
Distance between (a,b) and (c,d): 
Then, BC 

Length of image = scale factor x length in original figure
B'C' = 0.5 × BC
= 0.5 × 2
= 1 unit
Hence, the length of the line B'C" is 1 unit.
Answer:
A.) The manager calculated mean and not standard deviation
B.) Standard deviation should be calculated with the use of formula.
Step-by-step explanation:
A.) The assumption that his customers do spend more than the national average is wrong because the standard deviation is not calculated and mean cannot be used as a substitute for standard deviation.
B.) Standard deviation tells us how value obtain from group measurement deviates from the average value or expected value of each item of observations.
When standard deviation is low, this show that the value is very close to the expected value or the average value.
If the national average value = $150 and average customer spends $160.
Deviation = 160 - 150 = 10
This is lower than $30
Or better still, the manager should make use of standard deviation formula. Which is the square root of variance.
Answer: 2/6
Hope this helps
Step-by-step explanation:
The answer is 9:1. All you have to do is simplify it