Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then
By substitution, we have that
and
.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Answer:
There is a 10% chance that the high temperature will exceed 100 degrees on an August day.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
Suppose that the high temperature on an August day in Death Valley varies between 98 and 118 degrees Fahrenheit and is uniformly distributed over this range of values.
This means that
Probability that it exceeds 100 degrees:
0.1*100% = 10%.
There is a 10% chance that the high temperature will exceed 100 degrees on an August day.
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Answer: 15 ounces of wine
Step-by-step explanation:
A five-ounce glass of wine which is 12 percent alcohol), a 12-ounce of beer, and a 1.5 ounces of 86-proof liquor all have approximately thesame amount of alcohol.
Therefore, 36 ounces of beer will be:
= 36 × 5/12 ounces of wine
= 15 ounces of wine