Lines r and s are parallel. If the slope of line r is 2/5 , what is the slope of line s?
2 answers:
Answer:
Slope of line s is
Step-by-step explanation:
It is given line r is parallel to line s .Parallel lines do not meet if produced on either side.
Slope of parallel lines are same .
In the given figure line r is having a slope of
Line s is parallel to line r ( given)
Hence line s will have the same slope as line r.
Slope of line s= slope of line r=
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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.
Answer:
Step-by-step explanation:
We know that:
Remember:
450°=360°+60°
and:
Thus:
Then:
