MATHEMATICS HIGH SCHOOL

Give one real life example of each correlation: positive, negative, and no correlation.

Answers

Answer 1
Answer: A real life example of a positive correlation would be to to see an increase of popsicle sales when the temperature is warm. This would increase profit. 

A negative example would be to sell ice cream in the winter time. The temperature outside is cold, therefore people want to eat and drink warmer items. They would probably prefer cocoa at this time.

No correlation would be something like cake. Cake is eaten throughout each year and has never been out of style. This means sales would be steady throughout the year.
Answer 2
Answer:

For each of these examples, I have attached an image provide showing work to fully understand the problem.

Positive correlation

The number of kids at the playground and the number of swings being used

As the number of kids at the playground increases, the number of swings being used will increase. When both variables increase, they have a positive correlation. Thus, the situation in this problem has a positive correlation.

If we sketch a scatter plot for this situation, notice that the number of kids at the playground would be on the x-axis and the number of swings being used would be on the y-axis.

We can predict that if the number of kids at the playground increases, then the number of swings being used would also increase. Since this is only a sketch, it's not important exactly where our points are. Instead, we simply want to draw the points so our scatter plot has a line of best fit line with an upward of positive slope.

The image for this correlation is the first attachment.

Negative correlation

The amount of time Diaco spends goofing off in class and the grade Dicaco earns in the class

Notice that if the amount of time that Diaco spends goofing off increases, his grade is likely to decrease. When one variable increases and the other decreases, they have a negative correlation. Thus, the situation in this problem has a negative correlation.

If we sketch a scatter plot for this situation, notice that the time goofing off would be on the x-axis and Diaco's grade would be on the y-axis.

We can predict that if Diaco spends little or no time goofing off, his grade will be high and if he spends a lot of time goofing off, his grade will be low. Since this is only a sketch, it's not important exactly where our points are. Instead, we want to simply draw the points so our scatter plot has a line of best fit with a downward or negative slope.

The image for this correlation is the second attachment.

No correlation

The number of pets a family has and the number of kids in the family

Notice that in most cases, the number of pets a family has is not related to the number of kids in the family. Thus, there is no correlation between the number of pets a family has and the number of kids in the family.

If we sketch a scatter plot for this situation, notice that the number of pets a family has would be on the x-axis and the number of kids in the family would be on the y-axis.

Since there is no correlation between the variables, the data points will be spread out and there will be no best fit line.

The image for "no correlation" is the third attachment.

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Look at the linear equation below.2x - 3y = -13

Which pair of numbers is a solution to the equation?
Select one:
(-5, 1)
(5, 1)
(5, -1)
(-5, -1)

Answers

The answer is (-5,1) because 2(-5)-3(1)=-13 :)

What is the value of k ?

Answers

120 hope this helps ;)

Find the domain and range of the relation. A. domain: {-3, -1.5, 1.5, 3}; range: {4, 3, 1.5} B. domain: {-3, -1.5, 0, 1.5, 3}; range: {4, 3, 1.5} C. domain: {4, 3, 1.5}; range: {-3, -1.5, 1.5, 3} D. domain: {4, 3, 1.5}; range: {-3, -1.5, 0, 1.5, 3}

Answers

the domain is the x values and the range is the y values

domain : { - 3, -1.5,0,1.5,3 }
range : { 4, 3, 1.5 }

PLEASE FASTTTT
FIND X AND Y PLEASEEE

Answers

Answer:

y = 2

x = -3.5

Step-by-step explanation:

3y and (2x + 13) are same-side angles.

that means they are equal

(that's not the real term for it, I just forgot what it's called)

using that, you can make this equation:

3y = 2x + 13

3y - 13 = 2x

(3y - 13)/2 = x

(5y - 4) and 3y are vertical angles.

vertical angles are equal.

using this, you can make the following equation:

5y - 4 = 3y

5y - 3y - 4 = 0

5y - 3y = 4

2y = 4

y = 2

now, substitute y for 2 in the original equation.

(3y - 13)/2 = x

(6 - 13)/2 = x

-7/2 = x

-3.5 = x

Which method used to calculate finance charges is most favorable to the card issuer?a.
adjusted balance
b.
average daily balance
c.
previous balance
d.
usual balance

Answers

Answer: c. previous balance method

The method used by credit card companies to calculate finance charges in which it is most favorable to the card issuer is the previous balance method. This is computed by charging the interest into the new billing period. This is least favorable to cardholder thus, most favorable to card issuer.

Answer:

usual balance

Step-by-step explanation:

What number replaces the Δ? 3 = 3
1 + 3 = Δ + 3


A.
1

B.
3

C.
4

D.
7

Answers

1 + 3 = Δ + 3

By comparing

Δ = 1.

Option A.
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