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tia_tia [17]
1 year ago
6

Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car

d, and 36 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number. ​
Mathematics
1 answer:
Dovator [93]1 year ago
7 0

Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

                  = 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

brainly.com/question/795909

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What are the responsibilities of derivative classifiers?
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What is the value of this expression?<br><br><br>|x + y| + |z| when x = -6, y = 4, and z = -13?
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At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d
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Answer:

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Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

A=\pi r^2

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}

In the same way, the radius of the inner circle is

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radius = 18 yd/2

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Then, the area is

\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

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