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Agata [3.3K]
2 years ago
9

22 customers are eating dinner at an Italian restaurant. Of the 22 customers, 18 order pizza, 10 order a salad, and 8 order pizz

a and a salad. Using this information, answer each of the following questions.\
Let A be the event that a randomly selected customer orders pizza and B be the event that a randomly selected customer orders a salad.

What is P(A), the probability that a customer orders pizza?
What is P(B), the probability that a customer orders a salad?
What is P(A and B), the probability that a customer orders pizza and a salad?
What is P(A or B), the probability that a customer orders pizza or a salad?
Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

Answer:

Step-by-step explanation:

P(A) = 18/22

P(B) = 10/22

P(A and B) = 8/22

P(A or B) = 18/22 * 10/22 = 0.37

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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

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2 years ago
Stephen spent $4 on milk, $6 on eggs, and $11 on cereal. He wrote the ratio 6/11 to describe some of his purchases. Explain why
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