Secant AD and AE intersect in the exterior of a circle. ∠ BAC measures 27.42° and the measure of DE is 73.18°. Determine the mea
sure of BC .
1 answer:
Answer:
BC = 18.34°
Step-by-step explanation:
The secant- secant angle BAC is half the difference of the intercepted arcs, that is
( DE - BC) = 27.42
( 73.18 - BC ) = 27.42 ( multiply both sides by 2 )
73.18 - BC = 54.84 ( subtract 73.18 from both sides )
- BC = - 18.34° ( multiply both sides by - 1 )
BC = 18.34°
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Answer:
For the 99th percentile, we have X = 206 seconds.
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:
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:
99th percentile:
Value of X when Z has a pvalue of 0.99. So we use
For the 99th percentile, we have X = 206 seconds.
Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean :
Standard deviation:
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score :
For x=57, we have
For x=74, we have
Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-
Hence, the percentage of women meeting the height requirement = 99.51%