Which of the following statements demonstrates a negative correlation between two variables?
People who play baseball more tend to have more hits
Shorter people tend to weigh less than taller people
Tennis balls that are older tend to have less bounce
Cars that are older tend to have higher mileage
Correct Answer : C
A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:
People who play baseball more tend to have more hits is POSITIVE CORRELATION
Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION
Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION
Cars that are older tend to have higher mileage is a POSITIVE CORRELATION
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Correct Answer is A
Explanation
The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.
Convert 5 ¼ into improper faction as follows
So, the percent equivalent is:
Correct Answer is B
Explanation
Number of boxes in the room is equal to the volume of the room divided by the volume of one box
Volume of the room=9 ft*9 ft*9 ft= 729 ft3
Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3
Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes
Thus, the room can store 91.125 boxes, which is about 91 boxes.
However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft. To determine how many boxes fit along each dimension:
- In the 9 ft length, you can fit\(\frac{9}{2} = 4.5\) boxes, which means only 4 whole boxes fit along this dimension.
- In the 9 ft width, you can fit 4 whole boxes.
- In the 9 ft height, you can fit 4 whole boxes.
Therefore, the total number of boxes that fit is:
\(4×4×4=64\ boxes\)
Correct Answer is B
Explanation
To convert inches to centimeters, use the conversion factor:
1inch=2.54cm
Now, multiply:
7×2.54=17.78cm
Correct Answer is D
Explanation
The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.
Correct Answer is B
Explanation
100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is
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Correct Answer is C
Explanation
In direct proportion relation, we utilize the relationship as:
Variable∝Variable 2
Thus from the given case,
Force∝stretch
We introduce a constant term, K to remove the sign of proportionality as
Force=K* stretch
Let’s find the value of K, using Force=132 N and stretch of 0.07 m
132 N=K*0.07 m
K=132 N/0.07 m=1885.7 N/m
Now substitute this value of K in the following equation
Force=1885.7 N/m * stretch
For a stretch of 0.1 m, the force needed is
Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N
Correct Answer is B
Explanation
We use the relation 1 kg=1000 g to convert 3.193 kg to g
Correct Answer is B
Explanation
Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.
Correct Answer is A
Explanation
To find a solution to this, we need to find the change in spending between the year 2013 and 2015 for each country. Change is difference in amount spent in 2015 and 2013 for each country:
Sudan=$(24-17)= $7
Eritrea=$(42-56)= - $14
Nigeria = $(21-16)= $5
Tanzania =$(81-68) = $13
Rwanda = $(24-27) =-$3
Kenya = $(88-81) = $8
A Minus sign means a decrease in spending. From the above calculations, Eritrea had the GREATEST change in dollars spent while Rwanda had the LEAST change in dollars spent.
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