When a die is rolled, what is the probability of rolling an odd number?

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HESI A2

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HESI A2 Quizlet Math Questions

Question 1 of 9

When a die is rolled, what is the probability of rolling an odd number?

Correct Answer: D

Rationale: When a die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes. The probability of rolling an odd number is calculated by dividing the number of favorable outcomes (3) by the total number of outcomes (6), resulting in a probability of 3/6 or 50%. Therefore, the correct answer is D. Choices A, B, and C are incorrect because they do not reflect the correct probability calculation for rolling an odd number on a standard six-sided die.

Question 2 of 9

What is the least common multiple (LCM) of 4 and 6?

Correct Answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

Question 3 of 9

How many feet are in 3 yards?

Correct Answer: B

Rationale: To convert yards to feet, you multiply by 3, as 1 yard is equal to 3 feet. Therefore, 3 yards equals 3 x 3 = 9 feet. Choice A (18 feet) is incorrect because it multiplies by 2 instead of 3. Choice C (12 feet) is incorrect as it multiplies by 4 instead of 3. Choice D (27 feet) is incorrect as it multiplies by 9 instead of 3.

Question 4 of 9

If a parent changes their baby 6 times a day, how many diapers will be needed in a year?

Correct Answer: A

Rationale: To calculate the number of diapers needed in a year with 6 diaper changes per day, multiply the daily diaper changes (6) by the days in a year (365): 6 x 365 = 2190 diapers required. This calculation ensures an ample supply of diapers for maintaining the infant's hygiene and comfort. The other choices are incorrect because they do not accurately account for the number of diaper changes per day multiplied by the days in a year. Choice B (2100 diapers) is too low, while choices C (2160 diapers) and D (2140 diapers) are too high based on the calculation. Understanding the frequency and quantity of diaper changes is crucial for supporting the infant's health and well-being. Therefore, the correct answer is 2190 diapers.

Question 5 of 9

How many grams are in 4 kilograms?

Correct Answer: A

Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.

Question 6 of 9

The formula for calculating ideal body weight (IBW) for men is IBW (kg) = 50 + 2.3 * (height in cm - 150). If a man is 180cm tall, what is his ideal body weight?

Correct Answer: B

Rationale: Rationale: 1. Substitute the given height into the formula for calculating ideal body weight (IBW) for men: IBW (kg) = 50 + 2.3 * (180 - 150) IBW (kg) = 50 + 2.3 * 30 IBW (kg) = 50 + 69 IBW (kg) = 119 2. Therefore, the ideal body weight for a man who is 180cm tall is 119kg. 3. Among the given options, the closest value to 119kg is 71kg (option B). 4. Hence, the correct answer is B) 71kg.

Question 7 of 9

How many inches are in 2 yards?

Correct Answer: D

Rationale: To convert yards to inches, remember that there are 36 inches in a yard. Therefore, when you have 2 yards, multiplying 36 inches by 2 results in 72 inches. Choice A, 36 inches, is the number of inches in 1 yard, not 2 yards. Choice B, 48 inches, and Choice C, 60 inches, are incorrect calculations based on the conversion factor of 36 inches per yard.

Question 8 of 9

What is 28% of 100?

Correct Answer: A

Rationale: The correct answer is A: 28. To find 28% of 100, you multiply 0.28 (the decimal equivalent of 28%) by 100. This calculation results in 28. Therefore, 28% of 100 is 28. Choice B, 20, is incorrect as it represents 20% of 100. Choice C, 25, is incorrect as it represents 25% of 100. Choice D, 30, is incorrect as it represents 30% of 100.

Question 9 of 9

If y = 4 and x = 3, solve y x³

Correct Answer: B

Rationale: With y = 4 and x = 3, the expression is y x³. Substituting the values, we get 4 3³ = 4 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y x³.

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