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yan [13]
3 years ago
9

Write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13

Mathematics
1 answer:
koban [17]3 years ago
5 0
Use the equation y-y1 = m(x-x1). Slope = m which can be solved by taking the difference of y and dividing it by the difference of x. Therefore m = 6/-10 which simplifies to -3/5. Then plug m into the equation with either point so for example y-(-5) = (-3/5)(x-19). This then simplifies into y = (-3/5)x + (32/5) which is the final answer.
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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
emmasim [6.3K]

Answer:

Tera had the higher z-score, so she should be offered the job.

Step-by-step explanation:

Z- score:

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:

Whoever has the higher z-score should get the job.

Brittany:

Scored 88.3, mean 63.1, standard deviation 14. So

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

Z = \frac{88.3 - 63.1}{14}

Z = 1.8

Alissa:

Scored 236.5, mean 219, standard deviation 25. So

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

Z = \frac{236.5 - 219}{25}

Z = 0.7

Tera:

Scored 7.75, mean 6.66, standard deviation 0.5. So

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

Z = \frac{7.75 - 6.66}{0.5}

Z = 2.18

Tera had the higher z-score, so she should be offered the job.

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3 years ago
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konstantin123 [22]

Answer:

<u>Sum of n terms of a GP:</u>

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#1

  • a₁ = 5
  • r = 2
  • n = 9
  • S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555

Correct choice is C

-----------------------------

#2

  • a₁ = 12
  • r = 1/2
  • n = 5
  • S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25

Correct choice is A

3 0
3 years ago
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Oksanka [162]

Answer: The cost of child's ticket = $10

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Step-by-step explanation:

Let x be the cost of a child ticket and y be the cost of an adult ticket.

Then According to the question, we have

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Multiply equation (1) by 3 and equation (2) by 2, then we have

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Substitute the value of x in equation (1), we get

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Hence, the cost of child's ticket = $10

The cost of adult ticket = $ 13

4 0
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