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Anit [1.1K]
2 years ago
9

The radius and circumference of several objects were measured.

Mathematics
1 answer:
Over [174]2 years ago
3 0

A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

#SPJ1

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Step-by-step explanation:

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3 years ago
A store sells​ tents, sleeping​ bags, and camp stools. A customer buys a​ tent, 3 sleeping​ bags, and 4 camp stools for ​$170. T
olya-2409 [2.1K]

Answer: the cost of a tent is $45

the cost of a sleeping bag is $35

the cost of a camp stool is $5

Step-by-step explanation:

Let x represent the cost of a tent.

Let y represent the cost of a sleeping bag.

Let z represent the cost of a camp stool.

A customer buys a​ tent, 3 sleeping​ bags, and 4 camp stools for ​$170. It means that

x + 3y + 4z = 170- - - - - - - - - - - - - - -1

The price of the tent is 9 times the cost of a camp stool. It means that

x = 9z

The cost of a sleeping bag is ​$30 more than the cost of a camp stool. It means that

y = z + 30

Substituting x = 9z and y = z + 30 into equation 1, it becomes

9z + 3(z + 30) + 4z = 170

9z + 3z + 90 + 4z = 170

9z + 3z + 4z = 170 - 90

16z = 80

z = 80/16

z = 5

y = z + 30 = 5 + 30

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x = 9z = 9 × 5

x = 45

7 0
3 years ago
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