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Easton owns a small business selling clothing. He knows that in the last week 40 customers paid cash, 25 customers used a debit card, and 46 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth. Answer:

Easton owns a small business selling clothing. He knows that in the last week 4040 customers paid cash, 2525 customers used a debit card, and 4646 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Easton owns a small business selling clothing. He knows that in the last week 4040 customers paid cash, 2525 customers used a debit card, and 4646 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.\newlineAnswer:
  1. Calculate Total Customers: Determine the total number of customers from last week.\newlineTo find the total number of customers, we add the number of customers who paid with cash, debit card, and credit card.\newlineTotal customers == Customers who paid cash ++ Customers who used a debit card ++ Customers who used a credit card\newlineTotal customers =40= 40 (cash) +25+ 25 (debit card) +46+ 46 (credit card)\newlineTotal customers =111= 111
  2. Determine Non-Credit Card Customers: Determine the number of customers who paid with something other than a credit card.\newlineTo find this number, we add the number of customers who paid with cash and those who used a debit card.\newlineCustomers not using credit card == Customers who paid cash ++ Customers who used a debit card\newlineCustomers not using credit card =40= 40 (cash) +25+ 25 (debit card)\newlineCustomers not using credit card =65= 65
  3. Calculate Probability: Calculate the probability that the next customer will pay with something other than a credit card.\newlineThe probability is the number of customers not using a credit card divided by the total number of customers.\newlineProbability = Customers not using credit cardTotal customers\frac{\text{Customers not using credit card}}{\text{Total customers}}\newlineProbability = 65111\frac{65}{111}
  4. Convert to Decimal: Convert the probability to a decimal.\newlineTo convert the fraction to a decimal, we perform the division.\newlineProbability (as a decimal) = 65111\frac{65}{111}\newlineProbability (as a decimal) ≈0.5855855855855856\approx 0.5855855855855856
  5. Round to Nearest Hundredth: Round the decimal to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. If it is 55 or more, we round up. If it is less than 55, we round down.\newlineRounded probability = 0.590.59 (since the third decimal place is 55, we round up)

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