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Andru [333]
3 years ago
10

Someone please help

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

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All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca
lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that \mu = 82, \sigma = 4.5

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

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

Z = \frac{92 - 82}{4.5}

Z = 2.22

Z = 2.22 has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0
3 years ago
Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the com
maks197457 [2]

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

8 0
3 years ago
Which exponential function is graphed here?
jek_recluse [69]

Answer:

y = 5^x

Step-by-step explanation:

y= b*(a)^x + c

c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2

When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.

So the graph is of the form y = a^x

Now when x = 0 the graph, the y intercept is y = a^0  or y = 1 So the y intercept is (0,1)

Now the next point is thing to solve for is a.

When x = 1, y = 5  (read the graph)

y = a^x

5 = a^1

5 = a because a^1 is a.

Answer

y = 5^x.

5 = a^1

4 0
3 years ago
If y=5x-7, determine the value of y when x=-3
alexdok [17]

Answer:-22

Step-by-step explanation:

5 times -3 equals -15, and the combine it with -7 to get -22

5 0
3 years ago
Read 2 more answers
Divide -1/6 divided -2/9
alexdok [17]

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes

For fraction multiplication, multiply the numerators and then multiply the denominators to get

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 12 using

5 0
3 years ago
Read 2 more answers
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