Answer:
x = 63.6
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 and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:

Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.




So x = 63.6
Answer:
x = 23
Step-by-step explanation:
60°=x+14
60+14=84=X
Answer:
1418.03
Step-by-step explanation:
86.50 is 6.1% of what amount?
Multiply 86.50 x 100 = 8650
Divide by 6.1 = 1418.03
Answer: perpendicular lines
Step-by-step explanation: