On a given day, the coldest surface temperature on the moon, -280°F, is 53.6°F colder than twice the coldest surface temperature
on earth. What is the coldest surface temperature on earth that day?
1 answer:
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Answer:
a) 90.695 lb
b) 85.305 lb
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.
In this problem, we have that:
(a) The 65th percentile
X when Z has a pvalue of 0.65. So X when Z = 0.385.
(b) The 35th percentile
X when Z has a pvalue of 0.35. So X when Z = -0.385.
We have to calculate the difference of the given polynomials, we follows as:
After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.
=
Combining all the like terms, we get as
=
=
Option A is the correct answer.