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Faith owns a small business selling clothing. She knows that in the last week 86 customers paid cash, 15 customers used a debit card, and 40 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a debit card as a decimal to the nearest hundredth. Answer:

Faith owns a small business selling clothing. She knows that in the last week 8686 customers paid cash, 1515 customers used a debit card, and 4040 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with something other than a debit card as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Faith owns a small business selling clothing. She knows that in the last week 8686 customers paid cash, 1515 customers used a debit card, and 4040 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with something other than a debit 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= \text{Customers who paid cash} + \text{Customers who used a debit card} + \text{Customers who used a credit card}\newlineTotal customers =86+15+40= 86 + 15 + 40
  2. Find Number Without Debit Card: Calculate the total number of customers.\newlineNow we perform the addition from Step 11 to find the total number of customers.\newlineTotal customers = 86+15+40=14186 + 15 + 40 = 141
  3. Calculate Probability: Determine the number of customers who did not use a debit card.\newlineTo find the number of customers who did not use a debit card, we add the number of customers who paid with cash and those who used a credit card.\newlineCustomers not using a debit card =Customers who paid cash+Customers who used a credit card= \text{Customers who paid cash} + \text{Customers who used a credit card}\newlineCustomers not using a debit card =86+40= 86 + 40
  4. Convert to Decimal: Calculate the number of customers who did not use a debit card.\newlineNow we perform the addition from Step 33 to find the number of customers who did not use a debit card.\newlineCustomers not using a debit card =86+40=126= 86 + 40 = 126
  5. Round to Nearest Hundredth: Calculate the probability that the next customer will pay with something other than a debit card.\newlineThe probability is the number of customers who did not use a debit card divided by the total number of customers.\newlineProbability = Customers not using a debit cardTotal customers\frac{\text{Customers not using a debit card}}{\text{Total customers}}\newlineProbability = 126141\frac{126}{141}
  6. Round to Nearest Hundredth: Calculate the probability that the next customer will pay with something other than a debit card.\newlineThe probability is the number of customers who did not use a debit card divided by the total number of customers.\newlineProbability = Customers not using a debit cardTotal customers\frac{\text{Customers not using a debit card}}{\text{Total customers}}\newlineProbability = 126141\frac{126}{141}Convert the probability to a decimal.\newlineTo convert the fraction to a decimal, we perform the division from Step 55.\newlineProbability (as a decimal) = 126141≈0.8936\frac{126}{141} \approx 0.8936
  7. Round to Nearest Hundredth: Calculate the probability that the next customer will pay with something other than a debit card.\newlineThe probability is the number of customers who did not use a debit card divided by the total number of customers.\newlineProbability = Customers not using a debit cardTotal customers\frac{\text{Customers not using a debit card}}{\text{Total customers}}\newlineProbability = 126141\frac{126}{141}Convert the probability to a decimal.\newlineTo convert the fraction to a decimal, we perform the division from Step 55.\newlineProbability (as a decimal) = 126141≈0.8936\frac{126}{141} \approx 0.8936Round the decimal to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. Since the third decimal place is 33, we do not round up.\newlineRounded probability = 0.890.89

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