Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

ore: 
2//40
Penalty: 0.25 off
Question
Watch Video
Show Examples
Emily volunteers on the weekend at the Central Library. As a school oroject, she decides to record how many people visit the library, and where they go. On Saturday, 416 people went to The Youth Wing, 448 seople went to Social Issues, and 341 went to Fiction and Literature.
On Sunday, the library had 500 total visitors. Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.

ore: 2/40 2 / 40 \newlinePenalty: 00.2525 off\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineEmily volunteers on the weekend at the Central Library. As a school oroject, she decides to record how many people visit the library, and where they go. On Saturday, 416416 people went to The Youth Wing, 448448 seople went to Social Issues, and 341341 went to Fiction and Literature.\newlineOn Sunday, the library had 500500 total visitors. Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.

Full solution

Q. ore: 2/40 2 / 40 \newlinePenalty: 00.2525 off\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineEmily volunteers on the weekend at the Central Library. As a school oroject, she decides to record how many people visit the library, and where they go. On Saturday, 416416 people went to The Youth Wing, 448448 seople went to Social Issues, and 341341 went to Fiction and Literature.\newlineOn Sunday, the library had 500500 total visitors. Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
  1. Find Total Visitors: First, let's find the total number of visitors on Saturday to get a sense of the distribution across the different sections.
  2. Calculate Proportion: Add the number of people who went to The Youth Wing, Social Issues, and Fiction and Literature on Saturday. 416416 (Youth Wing) + 448448 (Social Issues) + 341341 (Fiction and Literature) = 12051205 total visitors on Saturday.
  3. Estimate Visitors: Next, let's calculate the proportion of visitors that went to Social Issues on Saturday.
  4. Round to Nearest Whole: Divide the number of visitors to Social Issues by the total number of visitors on Saturday.\newline448448 (Social Issues) / 12051205 (Total Visitors) 0.3718\approx 0.3718
  5. Round to Nearest Whole: Divide the number of visitors to Social Issues by the total number of visitors on Saturday. \newline448448 (Social Issues) / 12051205 (Total Visitors) 0.3718\approx 0.3718Now, let's use this proportion to estimate the number of visitors to Social Issues on Sunday.
  6. Round to Nearest Whole: Divide the number of visitors to Social Issues by the total number of visitors on Saturday.\newline448 (Social Issues)1205 (Total Visitors)0.3718\frac{448 \text{ (Social Issues)}}{1205 \text{ (Total Visitors)}} \approx 0.3718Now, let's use this proportion to estimate the number of visitors to Social Issues on Sunday.Multiply the total number of visitors on Sunday by the proportion that went to Social Issues on Saturday.\newline500 (Total Visitors on Sunday)×0.3718 (Proportion for Social Issues)185.9500 \text{ (Total Visitors on Sunday)} \times 0.3718 \text{ (Proportion for Social Issues)} \approx 185.9
  7. Round to Nearest Whole: Divide the number of visitors to Social Issues by the total number of visitors on Saturday.\newline448448 (Social Issues) / 12051205 (Total Visitors) 0.3718\approx 0.3718Now, let's use this proportion to estimate the number of visitors to Social Issues on Sunday.Multiply the total number of visitors on Sunday by the proportion that went to Social Issues on Saturday.\newline500500 (Total Visitors on Sunday) * 0.37180.3718 (Proportion for Social Issues) 185.9\approx 185.9Round the result to the nearest whole number to get the expected number of visitors to Social Issues on Sunday.

More problems from Find probabilities using combinations and permutations