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Vladimir79 [104]
3 years ago
10

Gregg subtracted some number x from 47, then multiplied the result by two, subtracted 15 and got 45. What was Gregg's number?

Mathematics
1 answer:
irinina [24]3 years ago
6 0
Work in reverse.

45 + 15= 60. 60/2= 30. 30 + x = 47.

So, x= 47-30.
x= 17.


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Maurinko [17]

48

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3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

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OR 3 couples possible arrangements 3 x 2 x1 = 6

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8 0
2 years ago
Evaluate (101.5)²-(100.5)²​
makvit [3.9K]

You can exploit the difference-of-squares identity,

<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)

Then

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4 years ago
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3 years ago
Read 2 more answers
What is the length of the diagonal, ddd, of the rectangular prism shown below?
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3 years ago
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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the
Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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:

\mu = 553, \sigma = 72

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

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X - 553 = 1.28*72

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The passing score is 645.2

6 0
3 years ago
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