Answer:Area of shaded region is 454.97
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area of circle = πr^2
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
r = 14
Area of the circle = 3.14 × 14^2 = 615.44
The shaded area is a sector
Area of a sector is expressed as
Area = #/360 × πr^2
Where
# = 94 = central angle
Area of sector = 94/360 × 3.14 × 14
= 160.68
Area of shaded region would be
615.44 - 160.68
= 454.97
Answer:
a) The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is 3.645.
Step-by-step explanation:
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:

a)Find the percentage of athletes whose GPA more than 1.665.
This is 1 subtracted by the pvalue of Z when X = 1.665. So



has a pvalue of 0.1251
1 - 0.1251 = 0.8749
The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.
His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.




John's GPA is 3.645.
Answer:
1. C=10.6
2. C=11.2
4. C=23.4
5. C=38.4
Step-by-step explanation:
You can find the answer to these by doing the Pythagorean theorem.
a^2 + b^2 = c^2
Answer:
6.07
Step-by-step explanation:
Answer:
Step-by-step explanation:
r-13,725 <_ 1650
r-<_ 15,375
r-13725>_-1650
r >_12,125
Tuition could be between $12,125 and $15,375
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