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Svet_ta [14]
3 years ago
14

Which relationship is likely ONLY a correlation and NOT one of causation? A) As the temperature increases, the number of air con

ditioners being used increases. B) As the price of a gallon of gas increases, the number of gallons of gas sold decreases. C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases. D) As the amount of time a student spends studying for a test decreases, the student's score on the test decreases.
Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer: The answer is (C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.

Step-by-step explanation:  We are given four options out of which we are to select which relationship is likely ONLY a correlation and NOT one of causation.

Causation is defined as the determination of the cause or reason for some sort of phenomenon while a correlation is simply a recognised relationship between two things or events, but it does not imply causation.In cases of correlation, one thing or event predicts another.

So, in the options (A), (B) and (D), we can see both correlation and causation simultaneously, but in option (C), we can only see correlation, NOT causation.

Thus, the correct option is (C).

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Sarah ran 3/4 mile on Monday, 3/4 mile on Tuesday, and 1/4 mile on Wednesday. How many miles did Sue run in the 3 days
SCORPION-xisa [38]

Answer:

1 3/4 miles

Step-by-step explanation:

add 3/4 +3/4+1/4 to get your answer

6 0
3 years ago
PLEASE HELP ME!
algol13

Step-by-step explanation:

1.\sum_{i=1}^{5}3i

The simplest method is "brute force".  Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

2.\sum_{k=1}^{4}(2k)^{2}

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

3.\sum_{k=3}^{6}(2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

∑ = -4

4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4.  The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

\sum_{j=1}^{7}(\frac{1}{4})^{j-1}

5. -5 + -1 + 3 + 7 + 11

This is an arithmetic sequence where the first term is -5 and the common difference is 4.  The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

a = 4n − 9

So the series is:

\sum_{j=1}^{5}(4j-9)

5 0
3 years ago
What is the undefined term that mathematically uses parallel lines
dusya [7]

Answer:

point and lines

Step-by-step explanation:

8 0
3 years ago
Plz help
kvv77 [185]

Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

8 0
3 years ago
What's the volume and surface area of these two cylinders?
Vesnalui [34]
I swear im not trying to just get points but is this like a pick which is correct cause my answer is  <span>Cylinder B has a diameter of 6 inches and a height of 4 inches.</span>
4 0
3 years ago
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