**The scatter plot below shows the relationship between the student’s exam scores and the students’ heights. Which of the following types of correlation is shown on the scatter plot?**

Positive

Positive and negative

Negative

No correlation

*Correct Answer : D*

correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.

A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.

The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.

Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.

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Related Questions

### Correct Answer is B

#### Explanation

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.

Total distance=5+3=8 miles

Total time=25+15=40 minutes

We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be: Â

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

In 5 minutes, the athlete runs 1 mile.

### Correct Answer is A

#### Explanation

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:

The unknown length of the triangle is about 16.7 feet.

### Correct Answer is B

#### Explanation

To solve this problem, first find the radius of the circle.

### Correct Answer is D

#### Explanation

We need to find the radius in order to find the area of the pizza.

Radius of pizza

The area of the pizza

*Â Â Â Â Â *

But r=4.5

*Â *

Thus, the area of the pizza is 20.25* *Â in2.

NOTE:Â Â is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.

### Correct Answer is A

#### Explanation

To solve the equation this equation, we use a calculator and find the product as:

3.45 * 0.53= 1.8285

### Correct Answer is A

#### Explanation

We convert the given word problem into a mathematical expression.

Let the number be x.

Thrice a number = 3x

Twelve less than thrice a number = 3x-12

Thus, the required mathematical expression is 3x-12

### Correct Answer is C

#### Explanation

from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:

*Â Â Â Â Â Â *

Or

Â Â Â Â Â Â Â Â

The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:

*Â Â Â Â Â Â Â Â Â Â *

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 1380 oz of ammonia.

### Correct Answer is C

#### Explanation

In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:

- Is means equals
- Of means multiply
- What means unknown (variable)

If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38

There, a couple will leave a gratuity of $9.38.

### Correct Answer is D

#### Explanation

Before we compare the values of the options, we convert the decimals to fractions.

5.4 becomes 54/10

6.25 becomes 625/100

Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

11/2*300=1650

54/10*300=1620

13/3*300=1300

625/100*300=1875

From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.

### Correct Answer is B

#### Explanation

We follow the order operations to solve for the unknown value of x.

3(2x+5)=11x+5

Open the bracket on the LHS by multiplying each term by 3

(3*2x)+(3*5)=11x+5

6x+15=11x+5

Subtract 15 from both sides

6x+15-15=11x+5-15

6x=11x-10

Subtract 11x on both sides

6x-11x=11x-11x-10

-5x=-10

Divide both sides by -5

-5x/-5=-10/-5

x= 2

Thus, the value of unknown value of x is 2.

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