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german
3 years ago
10

An 8 ounce cup of gourmet coffee costs 4:50. If the unit price remains the same, how much would 3 quarts of coffee cost?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

$54 would 3 quarts of coffee cost

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity as 1 such that 3 miles per hour or 5 meter per second.

Use the conversion:

1 ounce = 0.03125 quarts.

As per the statement:  An 8 ounce cup of gourmet coffee costs $ 4.50.

Convert 8 ounces in quarts.

1 ounces = 0.03125 quarts

8 ounces = 0.25 quarts.

\text{Unit rate per quartz} = \frac{4.50}{0.25} = \$ 18

We have to find the cost for 3 quarts of coffee.

\text{Total cost} = \text{Unit rate per quarts} \times 3

Substitute the given values we have;

\text{Total Cost} = 18 \times 3 = \$54

Therefore, $54 would 3 quarts of coffee cost.



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Answer:

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Step-by-step explanation:

3/4 x - 3 = 5/6

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Multiply both sides of the equation by 12.

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Answer:

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Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

<em>O</em> = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

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P (O) = <em>x</em>.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, \sum P(X)=1

Compute the value of <em>x</em> as follows:

\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30

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(b)

The probability of the complement of an event is the probability of its not happening.

P(A^{c})=1-P(A)

Compute the probability that a reported case of rabies is not a raccoon as follows:

P(R^{c})=1-P(R)\\=1-0.55\\=0.45

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

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