A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each. Soap Problems Frequency Underweight 4 Impurities 2 Broken bar 3 None 91 Total 100 If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken? They would expect 100 bars to be broken. They would expect 150 bars to be broken. They would expect 300 bars to be broken. They would expect 450 bars to be broken.
Answers
Answer:
They would expect 150 bars to be broken.
Step-by-step explanation:
If the soap factory inspects 100 bars of soap a day and they make 5000 soap a day, they are inspecting 1/50 of the soap bars made each day. In the inspection, 3/100 are broken. So if 3/100 of the soap bars are broken and they tested 1/50 of the soap bars you just need to convert the number of soap bars tested to the total number of soap bars equally and then find out how many of the total soaps were broken. You can divide the total number of soap, (5000), by the amount tested, (100), to get 50. This shows what you need to multiply by 3 (the broken soaps in the test) to equal the amount broken in the test and the amount broken overall. 50 • 3 = 150. This means that 150 of the soaps are broken. You can check by dividing 150 by 5000, which equals 0.03. 0.03 is the same thing as 3/100 meaning the two numbers are equal.
Edit 1: I’m taking the test rn so I will update you if I am right when I’m done!
Edit 2: I can confirm this is correct! Have a great day :D
Answer:
150
Step-by-step explanation:
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