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A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
- A. 13%
- B. 20%
- C. 10%
- D. 5%
Correct Answer: B
Rationale: The percent lost is calculated as 180?160180×100?11.1%\frac{180 - 160}{180} \times 100 \approx 11.1\%180180?160?×100?11.1%, which rounds to 11%.
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A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 2 2/5 cups
- B. 7 1/5 cups
- C. 6 cups
- D. 3 8/15 cups
Correct Answer: B
Rationale: To determine the amount of milk needed for the bigger batch, we first establish the ratio of flour to milk, which is 1/3 : 1 1/5. Converting 1 1/5 to an improper fraction gives us 6/5. Therefore, the ratio becomes 1:6/5 = 1:1.2. If the chef uses 2 cups of flour, the calculation would be 2 x 1.2 = 2.4 cups of milk needed. This is equivalent to 2 2/5 cups. Hence, the correct answer is 7 1/5 cups.
If a force of 132 Newtons stretched a coil by 0.007 meters, what force would be needed to stretch the coil by 0.1 meter? Round to the nearest tenth.
- A. 92.4N
- B. 136.0N
- C. 188.6N
- D. 1885.7N
Correct Answer: D
Rationale: To find the force needed to stretch the coil by 0.1 meters, we can use the concept of direct proportionality where the force to stretch remains constant. Setting up a proportion: (132N / 0.007m) = (x / 0.1m). Solving for x, we get x = (132N / 0.007m) * 0.1m = 1885.7N. Therefore, the force required to stretch the coil by 0.1 meters is 1885.7 Newtons.
Which term best describes the data set below: 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9?
- A. Uniform
- B. Bimodal
- C. Right-skewed
- D. Left-skewed
Correct Answer: B
Rationale: A bimodal distribution is characterized by two peaks or distinct values that occur most frequently in the data set. In this specific data set, the values '2' and '8' appear more frequently than other values, indicating two modes, making it a bimodal distribution. The presence of two prominent peaks or modes distinguishes it from a uniform, right-skewed, or left-skewed distribution. In a uniform distribution, all values have similar frequencies, which is not the case here. Right-skewed and left-skewed distributions have a single peak but differ in the tail direction; however, this data set does not exhibit such characteristics.
What is 31% of 426?
- A. 425.69
- B. 0.07
- C. 13.7
- D. 132.06
Correct Answer: D
Rationale: To find 31% of 426, you multiply 426 by 0.31 (which represents 31% in decimal form). The calculation is 426 * 0.31 = 132.06. Therefore, the correct answer is D, 132.06.
The length of a person's shadow is proportional to their height. If a person's shadow is 120 cm long and their height is 180 cm, how long is the shadow of a person who is 135 cm tall at the same time of day?
- A. 202.5 cm
- B. 75 cm
- C. 160 cm
- D. 90 cm
Correct Answer: D
Rationale: To find the shadow length of a 135 cm tall person, set up the proportion: 120 cm / 180 cm = x / 135 cm. Cross multiply to get 180x = 120 * 135, then solve for x by dividing both sides by 180. Therefore, x = 120 * 135 / 180 = 90 cm. Hence, the shadow length of a 135 cm tall person at the same time of day would be 90 cm.