In recent studies, each of the following variable pairs show a high correlation. which appear to share a cause-effect relationship? check all that apply
a. basketball games played and total points scored
b. hours of television watched per day and shoe size
c. quantity of food eaten and weigth gained
d. score on a math test and performance of japan`s stock market

The following variable pair that shows a high correlation is:

Option:C.  quantity of food eaten and weight gained.

Step-by-step explanation:

A)

Basketball games played and total points scored.

Let 5 basketball games were played and in the first game 12 points were scored.

While in the other 4 games 0 points were scored.

so as the total score remains constant hence the correlation is not high.

( Since a correlation is high if it is increasing).

B)

Hours of television watched per day and shoe size.

There is no relation between the two variables.

C)

Quantity of food eaten and weight gained.

This represents a high correlation because if we will consume good food then the weight will definitely increase.

D)

score on a math test and performance of japan`s stock market.

Again there is no correlation between the two variables as the math test score and stock market rate are nowhere related.

Hence, the correct answer is:

Option: C.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

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step-by-step explanation: