Answer: Least common multiple of 4 and 8 is 8
Answer:
(a) The standard deviation of your waiting time is 4.33 minutes.
(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.
Step-by-step explanation:
Let <em>X</em> = the waiting time for the bus at the parking lot.
The random variable <em>X</em> is uniformly distributed with parameters <em>a</em> = 0 to <em>b</em> = 15.
The probability density function of <em>X</em> is given as follows:

(a)
The standard deviation of a Uniformly distributed random variable is given by:

Compute the standard deviation of the random variable <em>X</em> as follows:




Thus, the standard deviation of your waiting time is 4.33 minutes.
(b)
The value representing 2 standard deviations is:

Compute the value of P (X > 8.66) as follows:





Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.
The answer is 14.4
Hope it Helps :]
42 square inches.
Step-by-step explanation:
A = 1/2 b × h
A = 1/2 x 12 x 7
A = 6 × 7
A = 42
1 ft = 12 inches
6 ft = 72 inches (multiply both sides by 6)
6 ft + 2 inches = 72+2 = 74 inches
6 ft, 2 inches = 74 inches
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1 ft = 12 inches
2 ft = 24 inches
2 ft + 1 in = 24+1 = 25 inches
2 ft, 1 in = 25 inches
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1 ft = 12 inches
3 ft = 36 inches
3 ft + 7 in = 36+7 = 43 inches
3 ft, 7 in = 43 inches
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To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x
(tree height)/(tree shadow) = (person height)/(person shadow)
x/43 = 74/25
25x = 43*74
25x = 3182
x = 3182/25
x = 127.28 inches
The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches
because 127/12 = 10 remainder 7, then we add on the 0.28 portion