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3 years ago

Which graph best represents the following situation?

Mathematics

2 answers:

hichkok12 [17]3 years ago

4 0

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A, x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B, x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C, x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A, x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

Aleonysh [2.5K]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

r represents the correlation between two variables x and y.

Correlation is defined as:

Strong negative correlation: r is close to -1

Strong positive correlation: r is close to 1

Weak negative correlation : r is close to -0.5

Weak positive correlation : r is close to 0.5

If r=0, then there is no correlation between x and y.

In graph B and C, y-increases as x increases. It means they represent positive correlation.

Therefore options B and C are incorrect.

In graph A and D, y-decreases as x increases. It means they represent negative correlation.

Graph A represents a Strong negative correlation. It means the value of r must be close to -1.

Graph D represents a weak negative correlation. It means the value of r must be close to -0.5.

Therefore option D is correct.

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Answer:

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Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

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We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

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This sequence is geometric if:

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The 10th term is $a_{10}$ . So:

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We should know that ⇒ 1 lb = 16 oz

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