what is the probability of consecutively pulling two more orange blocks without replacement from a bag containing 3 orange blocks 5 green blocks and 4
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Nursing Elites

ATI TEAS 7

Math Practice TEAS Test

1. What is the probability of consecutively pulling two more orange blocks, without replacement, from a bag containing 3 orange blocks, 5 green blocks, and 4 purple blocks?

Correct answer: B

Rationale: To calculate the probability of consecutively pulling two more orange blocks without replacement, we first determine the probability of pulling an orange block on the first draw, which is 3/12 (3 orange blocks out of 12 total blocks). After removing one orange block, there are only 11 blocks left, so the probability of pulling another orange block on the second draw is 2/11. To find the combined probability, we multiply the probabilities together: (3/12) * (2/11) = 6/132 = 3/55. Therefore, the correct answer is B. Choice A (3/12) incorrectly simplifies the probability before calculating the second draw. Choice C (2/10) does not consider the specific number of orange blocks in the bag. Choice D (1/3) does not account for the reduced number of blocks after the first draw.

2. What is the median of the set of numbers {2, 3, 9, 12, 15}?

Correct answer: B

Rationale: The median represents the middle value in an ordered set of numbers. To find the median, the numbers need to be arranged in ascending order: {2, 3, 9, 12, 15}. Since the set has an odd number of elements, the median will be the middle value, which is 9 in this case. Choice A (3) and Choice D (15) are incorrect as they do not fall in the middle of the ordered set. Choice C (12) is also incorrect as it is not the middle value in this particular set.

3. If 𝑛 = 8, then n is between which of the following ranges?

Correct answer: B

Rationale: To find the range where n lies when n = 8, we consider numbers greater and lesser than 8. The range would be between 7 and 9, not 9 and 11 as stated in the original rationale. Option A (5 and 7) and Option D (3 and 5) are lower ranges, while Option C (9 and 11) exceeds the upper limit.

4. In a graph that shows the number of nurses in various specialties, what is the independent variable?

Correct answer: C

Rationale: The independent variable is the variable that is controlled or manipulated in an experiment or study. In this case, the independent variable is the nurse specialties because it is the factor that is being observed and measured to see how it affects the number of nurses in each specialty. The dependent variable, which changes in response to the independent variable, is the number of nurses. Choices A and B are specific nurse specialties and are actually part of the data being measured, not the independent variable itself. Choice D, 'Number of nurses,' is the dependent variable as it is the outcome that is being influenced by the independent variable, which is the nurse specialties.

5. Which of the following describes a proportional relationship?

Correct answer: A

Rationale: A proportional relationship is one in which two quantities vary directly with each other. In choice A, the amount deposited per month is directly proportional to the initial deposit. The relationship can be represented as y = 125x + 150, where x is the number of months and y is the total amount in the account. Choices B and C involve additional fixed amounts or variable costs that do not maintain a constant ratio, making them non-proportional relationships. Choice D refers to a constant speed of driving, which is not a proportional relationship as it does not involve varying quantities that change in direct proportion.

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