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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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how much simple interest is earned on an investment of $1250 if the money is invested for 5 years at an annual interest rate of

andrew-mc [135]

Approximately $307.73 is the total amount of interest earned for 5 years at an annual interest rate of 4.5%, with an initial investment of $1,250.

7 0

3 years ago

Someone help please❤️ & Thankyou!!

S_A_V [24]

Answers:

300 = 12i+36s
i = 10
Yes it's reasonable
i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.