Step-by-step explanation:
As we can see, the line on the bottom is a perfectly straight 180º line, so the two angles, a and 50º are supplementary angles. Remember: Supplementary angles = 180º, and complementary angles = 90º.
Since this is a 180º line, all we have to do is to subtract 50 from 180 to get our angle a.
180-50 = 130º
Our answer: a = 130º
the answer should be 44. you plug in -7 for x.
Answer: 3
<u>Step-by-step explanation:</u>
<u>Wins</u> <u>Losses</u> <u>Pattern</u>
18 2 18 ÷ 2 = 9
45 5 45 ÷ 5 = 9
36 4 36 ÷ 4 = 9
27 x
Using the same pattern we have
27 ÷ x = 9
→ x = 3
Answer:
Maybe about 250 times because if it was just 6 times rolling it would be 4 time but since its 300, then this would be close
Step-by-step explanation:
Answer:
The standard deviation is 7.7
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:

8 percent of the scores are above 89
This means that X = 89 has a pvalue of 1 - 0.08 = 0.92. So when Z = 89, Z = 1.405.





The standard deviation is 7.7