Answer:
im pretty sure it's A but I may be wrong
Triangle XYZ is equilateral, so the central angle of the sector is 120°, or 2π/3 radians. The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
Your sector's area is
.. A = (1/2)*2^2*(2π/3) = 4π/3 . . . . square units
The answer is c. 12 1/2 points because if he missed 121/2 questions on his test but still made a perfect score he had to make 121/2 points on the extra credit
Answer:
A. 110 pounds,
C. 281 pounds
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.
A measure is said to be an outlier if it has a pvalue lesser than 0.05 or higher than 0.95.
In this problem, we have that:
A. 110 pounds,
has a pvalue of 0.0179. So a weight of 110 pounds is an outlier.
B. 157 pounds,
has a pvalue of 0.702.
So a weight of 157 is not an outlier.
C. 281 pounds
has a pvalue of 0.9988.
So a weight of 281 is an outlier.