The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d
1 answer:
Answer:
0% probability that it would take exactly 3.7 hours to construct a soapbox derby car
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Also, the probability of finding an exact value in the normal probability distribution is 0.
So
0% probability that it would take exactly 3.7 hours to construct a soapbox derby car
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Answer:
8,146 x 121
Step-by-step explanation:
This is a problem in which you need to measure your understading of "orders of magnitude."
If the estimated answer is that means that we are looking at a multiplication in the "order of"
You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have that would be "of the order of"
times
. So the whole multiplication would "of the order of"
or near
The correct answer, 8,146 x 121, is because it's "of the order of" times
and the gives us the
we need.