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Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
<u>Condition # 1:</u>
x = 5y - 13 --------------------(1)
<u>Condition # 2:</u>
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
<u>So, the measure of smaller angle is:</u>
= 25.5 degrees
Hope this helped!
<h3>~AH1807</h3>
Answer:
18.14% probability that you would get at least 12 questions correct.
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 you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.