what is the probability of getting an odd number on a six sided dice
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HESI A2

HESI A2 Math Practice

1. What is the probability of rolling an odd number on a six-sided die?

Correct answer: A

Rationale: A six-sided die has three odd numbers (1, 3, 5) out of six possible outcomes. To calculate the probability, divide the number of favorable outcomes (odd numbers) by the total number of outcomes: 3/6 = 0.5 or 50%. Therefore, the probability of rolling an odd number on a six-sided die is 50%. Choice A is correct. Choice B (66.70%) is incorrect as it does not represent the correct probability of rolling an odd number on a six-sided die. Choice C (33.30%) is incorrect as it represents the probability of rolling an even number. Choice D (25%) is incorrect as it does not reflect the correct probability of rolling an odd number on a six-sided die.

2. How many centimeters are there in 1 foot?

Correct answer: D

Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.

3. 5\7 + 3\14 = ?

Correct answer: A

Rationale: To add fractions with different denominators, first find a common denominator. The least common denominator between 7 and 14 is 14. Convert 5/7 to 10/14: 5 / 7 = 10 / 14 5/7=10/14 Now add the two fractions: 10 / 14 + 3 / 14 = 13 / 14 10/14+3/14=13/14

4. Solve the proportion (find the value of x): 9:14 = x:56.

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

5. Convert 5 3/4 to a decimal. Round it to the nearest tenth.

Correct answer: D

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Choice A, 5.75, is the exact conversion before rounding, so it is incorrect. Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding. Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation. Therefore, the correct answer is 5.8.

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