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4 years ago

What is the equation of this trend line? Enter your answers by filling in the boxes.

Mathematics

1 answer:

zhuklara [117]4 years ago

3 0

Answer:

$k=-2j+24$

Step-by-step explanation:

Take two points from the graph

(0,24) and (6,12)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{k2-k1}{j2-j1}$

substitute

$m=\frac{12-24}{6-0}$

$m=\frac{-12}{6}=-2$ ---> is negative because is a decreasing function

Find the equation of the line in slope intercept form

$k=mj+b$

we have

$m=-2\\b=24$

Note: The y-intercept is given (0,24)

substitute

$k=-2j+24$

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Dmitrij [34]

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

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For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

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Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.

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Answer:

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Step-by-step explanation:

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