The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved o
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Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as
For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,
Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
Answer:
(a)
(b)
Step-by-step explanation:
(a) can also be written as
x
the = ± y
Therefore :
= ±
since it was given that y < 0 , then the factor will be
(b) can also be written as :
x
Therefore , one of the factor is