The scatter plot below shows the relationship between the number of hours a student listens to music and the student’s test scores. Which of the following types of correlation is shown on the scatter plot?
Positive
Positive and negative
No correlation
Negative
Correct Answer : C
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.
In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.
The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.
If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
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Correct Answer is A
Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:
Thus, 50 kg is equal to 110 lb.
Correct Answer is D
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 negative correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is A
Explanation
The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula
Now, substituting the 49 π
 in2 in place of A in the equation above becomes:
We want to find r, therefore, we rearrange the equation as
Divide both sides by 
Take square root both sides of the equation
The radius of the circle is 7 in, and the circumference of the circle is determined as follows
Substituting the value of r=7 becomes
Thus, the circumference of a circle whose area is 49 
 in2 is 14 
Â
Correct Answer is B
Explanation
We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
We want to end up with mL, we utilize the second conversion and set up the following equation.
Thus, 2.5 teaspoons can hold 12.325 mL.
Correct Answer is D
Explanation
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
Correct Answer is A
Explanation
The initial step is to convert the decimal numbers into fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
9/2*300=1350
44/10*300=1320
10/3*300=1000
425/100*300=1275
From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.
Correct Answer is C
Explanation
the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.
The data set above arranged from the smallest to largest is:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.
The element 14 falls in the 6th position, which is our median of the given data set.
Correct Answer is C
Explanation
we need to find the net income of the nurse in 4 weeks from the weekly net income.
Weekly net income=gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(83.00+38.00+79.00)
Total tax=$200.00
Weekly net income=$(800.00-200.00)=$600.00
In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:
The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.
Correct Answer is D
Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
Correct Answer is C
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.
So, the athlete covers 1 mile in 7.5 minutes.
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