The scatter plot below shows the relationship between the number of hours a student plays golf and the student’s class attendance. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. No correlation
D. Negative
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
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Five friends are sharing a pizza. Two friend eats a quarter of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer 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.
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Q #2: Which of the following is the greatest value?
A. 74÷95
B. 7/8
C. 0.72
D. 74%
Answer Explanation
To solve this problem, we need to have all options in fraction form.
74 95 =
7/8 = 3/8
0.72 = 72/100
74% = 74/100
Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:
74/95*3800=2960
7/8*3800=3325
72/100*3800=2736
74/100*3800=2812
We can see that the fraction 7/8 is the greatest among the given options.
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Q #3: A bucket can hold 5000 mL. How many L can the bucket hold?
A. 500L
B. 5L
C. 50L
D. 0.05L
Answer Explanation
To change between L and mL, the following two options are used.
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Q #4: Which of the following is the correct decimal placement for the product of 1.9 * 0.75?
A. 1.425
B. 14.25
C. 0.01425
D. 0.001425
Answer Explanation
In the given problem, we use the calculator to evaluate the product 1.9 * 0.75 = 1.425
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Q #5: As a person climbing a mountain increases walking speed, the rate of calories burned, height traveled, and energy expended also increase. Which of the following is the independent variable?
A. Walking speed
B. Energy
C. Calories
D. Height
Answer Explanation
An independent variable is a change that when modified brings a change in other variables. In this case, the person increases his climbing rate, calories burned, distance traveled and energy used increases. Therefore, the walking speed is the independent variable while other variables are dependent.
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Q #6: A student performs the following estimations. 35+192 230 258+350 610 947+1032 1980 Based on these estimations, which of the following is the student’s estimate of 694+7618?
A. 8320
B. 8500
C. 8300
D. 8310
Answer Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
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Q #7: Which of the following relationships represents a negative correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person remains unchanged
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer 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
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Q #8: 3(3x+3)=8x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 4
C. -1
D. -4
Answer Explanation
We use the order of operation to solve for the unknown value of x.
3(3x+3)=8x+5
Multiply 3 with each number in the brackets
(3*3x)+(3*3)=8x+5
9x+9=8x+5
Subtract 9 from both sides
9x+9-9=8x+5-9
9x=8x-4
Subtract 8x on both sides
9x-8x=8x-8x-4
x=-4
Thus, the unknown value of x is -4.
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Q #9: If a box of 45 syringes costs $720.00, which of the following is the cost of five syringes?
A. $75.00
B. $66.00
C. $82.00
D. $80.00
Answer Explanation
From the cost of 45 syringes, we are required to find the cost of 5 syringes. We set up a proportion equation by letting the cost of 5 syringes to y. Besides, we let the cost to be numerator and number of syringes to be denominator as follows.
Solve the value of y by cross products
Divide both sides by 45
Therefore, 5 syringes will cost $80.00.
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Q #10: A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?
A. $8.48
B. $6.40
C. $9.38
D. $7.00
Answer 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.
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