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Piper owns a small business selling clothing. She knows that in the last week 47 customers paid cash, 9 customers used a debit card, and 4 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:

Piper owns a small business selling clothing. She knows that in the last week 4747 customers paid cash, 99 customers used a debit card, and 44 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.\newlineAnswer:

Full solution

Q. Piper owns a small business selling clothing. She knows that in the last week 4747 customers paid cash, 99 customers used a debit card, and 44 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.\newlineAnswer:
  1. Calculate Total Customers: To find the probability that the next customer will pay with a debit card, we first need to determine the total number of customers from last week.\newlineTotal customers = Number of customers who paid cash + Number of customers who used a debit card + Number of customers who used a credit card.\newlineTotal customers = 4747 (cash) + 99 (debit card) + 44 (credit card).
  2. Find Total Number: Now, we perform the calculation to find the total number of customers.\newlineTotal customers = 47+9+447 + 9 + 4.\newlineTotal customers = 6060.
  3. Calculate Probability: Next, we express the probability that the next customer will pay with a debit card as a fraction. The probability is the number of customers who used a debit card divided by the total number of customers.\newlineProbability (debit card) = Number of customers who used a debit cardTotal number of customers\frac{\text{Number of customers who used a debit card}}{\text{Total number of customers}}.\newlineProbability (debit card) = 960\frac{9}{60}.
  4. Simplify Fraction: Finally, we simplify the fraction to its simplest form. 960\frac{9}{60} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 33. 9÷3=39 \div 3 = 3 60÷3=2060 \div 3 = 20 So, 960\frac{9}{60} simplifies to 320\frac{3}{20}.

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