Answer:
E
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
8x + 15 is an external angle of the triangle, thus
8x + 15 = 3x + 20 + 4x + 5, that is
8x + 15 = 7x + 25 ( subtract 7x from both sides )
x + 15 = 25 ( subtract 15 from both sides )
x = 10
Thus none of them on the list → E
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Answer:
18.67% probability that the sample proportion does not exceed 0.1
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.
For the sampling distribution of a sample proportion, we have that 
In this problem, we have that:
What is the probability that the sample proportion does not exceed 0.1
This is the pvalue of Z when X = 0.1. So
has a pvalue of 0.1867
18.67% probability that the sample proportion does not exceed 0.1
Well a full rotation is 360 degrees so what you would do is 1/8 of 360 and to do this you would divide 360 by 8 which is 45 and then you would times by 1 so the answer is 45 degrees. To make this simpler if you have a circle and split it into 4 each segment is 90 degrees and to get an extra 4 you'd divide each segment again by 2 and 90/2 is 45
Answer: A, B and E
Step-by-step explanation:
A residual values should be equally and randomly spaced around the horizontal axis. If the plot looks like any of the images in C and D, then the data set is probably not a good fit for regression. A non-linear pattern is more appropriate.
