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BabaBlast [244]
3 years ago
5

8≤ 11x-(2x-12) how do you slove this

Mathematics
2 answers:
Natalka [10]3 years ago
6 0
The answer is 1790743356790876432335675434667 hlctiduvobnonigtdsyfib l lnivyftds
AnnZ [28]3 years ago
4 0
First, you distribute the sign, giving you:
8<span>≤11x-2x+12
Then, you simplify, giving you:
8</span><span>≤9x+12
Next, you isolate the variable by subtracting 12 from both sides, resulting in:
-4</span><span>≤9x
Finally, you divide both sides by 9, making the final answer
-4/9</span><span>≤x</span>
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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

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 = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
6 qts equals ? pints 8 qts equals ? gallons and 48 fl oz equals ? cups
nikdorinn [45]
6 quarts equals 12 pints
8 quarts equals 2 gallons
48 fl oz equals 6 cups
8 0
3 years ago
Read 2 more answers
Jared has 12 more comic books than Zoe. If they have 28 comic books
ZanzabumX [31]

Answer:

20 comic books

Step-by-step explanation:

Let us first <u>set up a variable</u>, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an <u>equation</u> and solve for x:

x+x+12=28\\2x+12=28

Now that we have a <u>simplified</u> version of the equation, let us solve for x by <u>isolating the variable</u> on the left side:

2x=28-12\\2x=16\\x=8

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us <u>add</u> 12 to x:

x+12=\\8+12=\\20\\

Therefore, Jared has 20 comic books.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

4 0
3 years ago
The ordered pair(5,-3) is a solution to which of the following inequalities?
Dmitrij [34]

A plumber worked 26 hours a week for half a year. If his hourly wage was $40, how much did he earn during this time period?

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3 years ago
How do I complete this formal check?
postnew [5]
IDK sorry I need points
8 0
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