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 C
Explanation
A whole pizza represents 1, and two friends eat ¼ of the pizza. The remaining fraction of pizza is:
Remaining amount =
Thus, 3/4 of pizza is left for three friends to share equally.
Now, the other three friends will each get
So, the other three friends will each get 1/4 of the pizza.
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 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:
Now we evaluate the above equation noting that of means multiply.
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
Correct Answer is B
Explanation
To change between L and mL, the following two options are used.
Correct Answer is D
Explanation
To solve the equation this equation, we compute the multiplication of the two numbers using the calculator
3.60 * 0.75 = 2.7
Correct Answer is C
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is A
Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(85.00+40.00+81.00)
Total tax=$206.00
The next step is to find the weekly income after deducting total taxes
Weekly net income=gross income-total tax
Weekly net income=$(980.00-206.00)=$774.00
In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning
Correct Answer is A
Explanation
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
Correct Answer is C
Explanation
We are asked to find mL equivalent in 1.5 teaspoons. To carry out the operations, we utilize dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
Since we want to remain with mL, use the second option and proceed as follows.
Thus, 1.5 teaspoons is equal to 7.395 mL
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.
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