Which of the following relationships represents a negative correlation between two variables?
As a student’s class attendance decreases, the student’s overall grade remains the same
As the number of hours a person exercises decreases, the weight of that person remains unchanged
As the number of miles driven increases, the amount of the gasoline in the tank decreases
As the amount of water plant receives increases, the growth rate of the plant increase.
Correct Answer : C
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
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Related Questions
Correct Answer is D
Explanation
To solve the equation this equation, we compute the multiplication of the two numbers using the calculator
3.60 * 0.75 = 2.7
Correct Answer is A
Explanation
The selling price of the sweater is marked price less the mark off value.
Mark off value=mark off rate*original price
Mark of value=30% of $95
Mark of value=0.30*$95=$28.50
Now, find the selling price of the sweater
Selling price= marked price-mark off value

Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.
Correct Answer is B
Explanation
The initial step is to convert the decimal numbers into fractions.
5.2 becomes 52/10
5.15 becomes 515/100
Next, find the least common denominator of 3, 10, and 100, which is 300. We use this value and multiply each fraction.
7/3*300=700
52/10*300=1560
13/3*300=1300
515/100*300=1545
From the above, 1560 is the greatest value which corresponds to 52/10. Thus, 5.2 is the greatest value of all the choices given.
Correct Answer is D
Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
Correct Answer is D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below

Correct Answer is A
Explanation
A ratio is of the form a : b but can also be converted to a fraction of the form a/b, where b is not equal to zero. Besides, to in ration means per in fraction form.
In the class of 40 students, 22 are girls and 18 are boys. Thus, the ratio of girls to boys becomes:

The above fraction can be reduced further since 2 is a common factor in both 22 and 18. Thus

In ratio form, girls: boys=11:9
Thus, the ratio of girls to boys in a class of 40 students is 11 to 9.
Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected.

From the above evaluations, option two is the correct choice.
Correct Answer is D
Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter

Next, find area of the pizza using the radius of 6 inches

Substituting r=6 in the equation of the area of a circle

Thus, the pizza has an area of 36 π in2.
Correct Answer is C
Explanation
We need to find the amount Lana left after spending and investing another.
Lana spends=70% of $90=70/100 * 90 = $63
Amount left after spending=$(90-63) = $27
Lana is left with $27, which she will invest and earns a profit of 60%.
Profit earned=60% of $27 = 60/100 * 27 = $16.20
Therefore, Lana will have $27 + $16.20 = $43.20
Correct Answer is A
Explanation
The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

Solve for value of p by cross products

Multiply both sides by 3/2 a reciprocal of 2/3


The truck carries a cargo weighing 795 lb.
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