Answer:
x = 27
Step-by-step explanation:
Length = 6x
Width = 1/3(6x) = 2x
Height = 1/2(6x) = 3x
6x × 2x × 3x = 36
972/36x = 27
x = 27
Answer:
First Choice: As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
The definition of a positive correlation is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.
The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.
The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.
The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.
The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.
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Given:
1 inch = 30 feet
The drawing of the building of this problem has the height of 1.25 inches and base of 0.75 inches.
Actual height:
1.25 inches * 30 feet/inch = 37.50 feet
Actual base:
0.75 inches * 30 feet/inch = 22.50 feet
