To find the Greatest Common Factor of 45 and 60, we do the following:
Find the Factors of 45 & 60.
45: 1, 3, 5, 9, 15, 45
60: <span>1, 2, 3, 4, 5, 6,10, 12, 15, 20, 30, 60
As you can see, 15 is the greatest common factor.</span>
Answer:
2
Step-by-step explanation:
13-5x =3
-13 -13
-5x = -10
-5 -5
x=2
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:

The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.
X = 82:


Z = 1
Z = 1 has a p-value of 0.84.
X = 72:


Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at brainly.com/question/24663213
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The anwser is b because it is 150 dollars
Answer:
-5x - 8y = -5
Step-by-step explanation:
Whenever we two equations, we are essentially just adding the left sides up and then the right sides up. Here, let's write these into one whole big equation:
(4x - 4y) + (-9x - 4y) = -2 + (-3)
Taking the parentheses out, we have:
4x - 4y - 9x - 4y = -2 - 3
Combine like terms:
4x - 9x - 4y - 4y = -5
-5x - 8y = -5
Hope this helps!