Answer:
x=53
Step-by-step explanation:
pythagoras theorem
a^2 + b^2 =c^2
here a and b are two small sides and c is hypotenuse (longest side)
28^2 + 45^2 = c^2
784 + 2025 =x^2
2809 =x^2
=x
53 =x
10. Evaluate m + n2 if we know m = 2 and n = –2. A. 8 B. –8 C. –6 D. 6
1 answer:
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Answer:
There is a 98.26% probability that it is overloaded.
This elevator does not appear to be safe.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
Assume that weights of males are normally distributed with a mean of 170 lb, so
They have a standard deviation of standard deviation of 29 lb, so .
We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of in the Z score formula.
Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so
has a pvalue 0.0174.
So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.
Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.