Select the correct answer from each drop-down menu.
2 answers:
Answer:
X = 95 degrees
Y = 147 degrees
Z = 128 degrees
Step-by-step explanation:
Angle z can be found as : = 128 degrees. This is because the sum of the internal angle and the external angle on the same vertex is 180°
The opposite of angle X can be found as = 85 degrees.
Now angle X lies on the same line. We can say X is exterior angles to the opposite interior angle of bigger triangle.
Angle X = = 95 degrees
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle Y = = 147 degrees.
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Answer:
42.22% probability that the weight is between 31 and 35 pounds
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:
What is the probability that the weight is between 31 and 35 pounds
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So
X = 35
has a pvalue of 0.5557
X = 31
has a pvalue of 0.1335
0.5557 - 0.1335 = 0.4222
42.22% probability that the weight is between 31 and 35 pounds