which of the following relationships represents no correlation between two variables
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ATI TEAS 7

Practice Math TEAS TEST

1. Which of the following relationships represents no correlation between two variables?

Correct answer: A

Rationale: Choice A represents no correlation between two variables as it states that as a student’s class attendance decreases, the student’s overall grade remains the same. This scenario shows no relationship between class attendance and grade. In contrast, choices B, C, and D show clear correlations between the variables mentioned. Choice B indicates a negative correlation between exercise hours and weight gain, choice C indicates a negative correlation between miles driven and gasoline in the tank, and choice D indicates a positive correlation between water intake and plant growth rate, making them all examples of correlated relationships.

2. If the price of a shirt was originally $30 and it is now being sold at a 20% discount, what is the sale price of the shirt?

Correct answer: A

Rationale: To find the discount amount, calculate 20% of $30: 0.20 × $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24. Therefore, the correct answer is $24. Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.

3. When rounding 245.2678 to the nearest thousandth, which place value would be used to decide whether to round up or round down?

Correct answer: A

Rationale: When rounding a number to the nearest thousandth, you look at the digit in the ten-thousandths place to determine whether to round up or down the digit in the thousandths place. In this case, rounding 245.2678 to the nearest thousandth, the digit in the ten-thousandths place is 6, which is greater than or equal to 5, so you would round up the digit in the thousandths place. Therefore, the correct answer is the ten-thousandths place. Choices B, C, and D are incorrect because they do not directly influence the rounding of the thousandths place in this scenario.

4. What is the solution to 4 x 7 + (25 – 21)²?

Correct answer: C

Rationale: To find the solution, first solve the expression inside the parentheses: 25 - 21 = 4. Then, square the result from the parentheses: 4² = 16. Next, perform the multiplication: 4 x 7 = 28. Finally, add the results: 28 + 16 = 44. Therefore, the correct answer is 44. Choice A (512), Choice B (36), and Choice D (22) are incorrect as they do not follow the correct order of operations for solving the given mathematical expression.

5. Pernell received the following scores on five exams: 81, 92, 87, 89, and 94. What is the approximate average of these scores?

Correct answer: C

Rationale: To calculate the average of Pernell's scores, add all the scores together and then divide by the number of scores. (81 + 92 + 87 + 89 + 94) = 443. Now, divide 443 by 5: 443 ÷ 5 = 89, which is the average score.

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