12) m 1) MZHGF = 16x + 4, mZEGF= 110°, and mZHGE = 3x + 11. Find x. G H
1 answer:
Answer:
Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
110 = [3x + 11] + [16x + 4]
110 = 15 + 19x
- 15 - 15
_______________
95 = 19x
___ ___
19 19
5 = x
110 = [3[5] + 11] + [16[5] + 4]
15 80
110 = 110 ☑
Therefore, is a genuine statement.
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Answer:
The standard deviation of the following data set is 32.2
Step-by-step explanation:
step 1
Find the mean
we have
Sum the data and divided by the number of elements
step 2
For each number: subtract the Mean and square the result
step 3
Work out the mean of those squared differences
This value is called the "Variance"
step 4
Take the square root of the variance
Answer:
88.88% probability that it endures for less than a year and a half
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 question, we have that:
The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.
has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half