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Olivia owns a small business selling bagels. She knows that in the last week 11 customers paid cash, 78 customers used a debit card, and 3 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card or a credit card as a decimal to the nearest hundredth. Answer:

Olivia owns a small business selling bagels. She knows that in the last week 1111 customers paid cash, 7878 customers used a debit card, and 33 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card or a credit card as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Olivia owns a small business selling bagels. She knows that in the last week 1111 customers paid cash, 7878 customers used a debit card, and 33 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card or a credit card as a decimal to the nearest hundredth.\newlineAnswer:
  1. Calculate Total Customers: Determine the total number of customers from last week.\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 =11 (cash)+78 (debit card)+3 (credit card)= 11 \text{ (cash)} + 78 \text{ (debit card)} + 3 \text{ (credit card)}\newlineTotal customers =92= 92
  2. Calculate Debit or Credit Customers: Calculate the number of customers who paid with a debit card or a credit card.\newlineCustomers who used a debit card or credit card =Customers who used a debit card+Customers who used a credit card= \text{Customers who used a debit card} + \text{Customers who used a credit card}\newlineCustomers who used a debit card or credit card =78 (debit card)+3 (credit card)= 78 \text{ (debit card)} + 3 \text{ (credit card)}\newlineCustomers who used a debit card or credit card =81= 81
  3. Calculate Probability: Calculate the probability that the next customer will pay with a debit card or a credit card.\newlineProbability = (Customers who used a debit card or credit card) / (Total customers)\newlineProbability = 8192\frac{81}{92}\newlineProbability ≈0.8804347826086957\approx 0.8804347826086957
  4. Round Probability: Round the probability to the nearest hundredth.\newlineRounded probability = 0.880.88

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