Answer:
a = 33.32
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:

P(32 < x < a) = .0590
This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.
X = 32



has a pvalue of 0.1587
X = a
p - 0.1587 = 0.0590
p = 0.0590 + 0.1587
p = 0.2177
So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.




So a = 33.32
answer:
oops, I accidentally messed this one up, so sorry
:
n=5
Create equivalent expression in the equation that all have equal bases, then solve n
Answer: The length of the is 4.5 cm when the measure of the central angle is 162 degrees.
If the measure of the central angle is 162 degrees, that means that is comprises 45% of the circle. 162 / 360 = 45%
Therefore, the arc is also 45% of the circumference. If we multiply 10 by 45% we get an arc length of 4.5 cm.
Answer:
456
Step-by-step explanation: