the circumference of a circle is a(pi) units, and the area of the circle is b(pi) square units. If a=b, what is the radius of th
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Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
The diameter that separates the top 9% is 5.2 millimeters.
Answer:
x = 0.6623
y = 8
Image is attached for refernce of my solution
Step-by-step explanation:
In Δ DEF
By applying pythagoras theoram,
DE =
=
∴ DE = 8
In Δ ABC
BC = y = 12 sin 30° = 6
AC = + DE + x =
+ 8 + x = 12 cos 30°
⇒ 9.73 + x = 10.39
<h3>⇒ x = 0.6623</h3>
