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kaylee owns a small business selling clothing. she knows that in the last week 3 customers paid cash, 21 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 a debit card as a decimal to the nearest hundredth.
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Step1: Calculate total number of customers
First, we need to find the total number of customers. The number of cash - paying customers is 3, debit - card - paying customers is 21, and credit - card - paying customers is 46. So the total number of customers $n=3 + 21+46=70$.
Step2: Calculate the probability of debit card payment
The probability $P$ that a customer pays with a debit card is the number of debit - card - paying customers divided by the total number of customers. So $P=\frac{21}{70}$. Simplifying $\frac{21}{70}=0.3$. But we need to round to the nearest hundredth. Since the thousandth place is 0, $0.30$ (because $0.3 = 0.30$ when rounded to the nearest hundredth).
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0.30