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15 \( 1(2 / 2) \) 2 (1/1) n 3 (1/1) n 4 (4) n 5 (1/1) n \( 6(2 / 2) \) n 7 (1/1) on 8 (1/1) on \( 9(2 / 2) \) In the last three months, 424 boys and 320 girls were seen by doctors in the ER. 305 of those children were six-years-old or under. a. By rounding the values to the nearest ten, estimate the number of children seen in the ER. \( \square \) b. Using the original values, calculate the exact number of children seen in the ER. \( \square \) c. By rounding the values to the nearest ten, estimate the number of children over the age of six. \( \square \)

Ask by Norris French. in Canada
Mar 10,2025

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Answer

- a. Estimated number of children seen in the ER: 740 - b. Exact number of children seen in the ER: 744 - c. Estimated number of children over the age of six: 440

Solution

Let's break down the problem step by step. ### Known Conditions: - Total boys seen: 424 - Total girls seen: 320 - Total children aged six or under: 305 ### Part a: Estimate the number of children seen in the ER by rounding to the nearest ten. 1. **Round the number of boys (424)**: - Rounding 424 to the nearest ten gives us 420. 2. **Round the number of girls (320)**: - Rounding 320 to the nearest ten gives us 320. 3. **Estimate the total number of children**: \[ \text{Estimated Total} = 420 + 320 \] Now, let's calculate this. ### Part b: Calculate the exact number of children seen in the ER. 1. **Calculate the total number of children**: \[ \text{Total Children} = 424 + 320 \] Now, let's calculate this. ### Part c: Estimate the number of children over the age of six by rounding to the nearest ten. 1. **Calculate the total number of children**: \[ \text{Total Children} = 424 + 320 = 744 \] 2. **Calculate the number of children over the age of six**: \[ \text{Children Over Six} = \text{Total Children} - \text{Children Aged Six or Under} = 744 - 305 \] 3. **Round the number of children over six to the nearest ten**. Now, let's perform the calculations for parts a, b, and c. Calculate the value by following steps: - step0: Calculate: \(420+320\) - step1: Add the numbers: \(740\) Calculate or simplify the expression \( 744 - 305 \). Calculate the value by following steps: - step0: Calculate: \(744-305\) - step1: Subtract the numbers: \(439\) Calculate or simplify the expression \( 424 + 320 \). Calculate the value by following steps: - step0: Calculate: \(424+320\) - step1: Add the numbers: \(744\) Here are the results for each part of the problem: ### Part a: Estimated number of children seen in the ER - Estimated Total: \( 740 \) ### Part b: Exact number of children seen in the ER - Total Children: \( 744 \) ### Part c: Estimated number of children over the age of six 1. Total Children: \( 744 \) 2. Children Aged Six or Under: \( 305 \) 3. Children Over Six: \( 439 \) Thus, the estimated number of children over the age of six, when rounded to the nearest ten, is \( 440 \). ### Summary of Answers: - a. Estimated number of children seen in the ER: \( 740 \) - b. Exact number of children seen in the ER: \( 744 \) - c. Estimated number of children over the age of six: \( 440 \)

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Let's dive into your questions! To estimate the total number of children seen in the ER, you round both boys and girls to the nearest ten. So, \( 424 \) becomes \( 420 \) and \( 320 \) becomes \( 320 \). Adding these together gives you \( 420 + 320 = 740 \). So, the estimated number of children seen in the ER is \( 740 \). For the exact calculation, simply add the original values: \( 424 \) boys + \( 320 \) girls = \( 744 \). Thus, \( 744 \) children were seen in the ER. Now, to estimate the number of children over the age of six, take the total number of children seen, which is \( 744 \), and subtract the estimated number of children who are six years old or under. The \( 305 \) children who are six or under rounds to \( 310 \), leading us to \( 740 - 310 = 430 \). Therefore, the estimated number of children over the age of six is \( 430 \). Keep this in mind: rounding makes calculations faster, but you still want to verify with the exact values for clarity! Remember, in statistics, accuracy often beats rough estimates.

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