Step-by-step explanation:
two answers either
x = 8
or
x = -1
Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.
By being congruent, the corresponding angles and sides are equal.
Therefore,
,
,
,
,
.
By using 
So, 
Therefore, the measure of angle 1 is 100 degrees.
So, Option B is the correct answer.
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
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:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as
. Plugging in the following values would provide you with:




Hope it helps :) and let me know if you want me to elaborate on anything.