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ohaa [14]
3 years ago
11

April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her

total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
Mathematics
1 answer:
scoray [572]3 years ago
7 0

s= p+3

(number of sports drinks= s)

(pizza slices= p)

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Answer:

(a) 0.20

(b) 31%

(c) 2.52 seconds

Step-by-step explanation:

The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.

The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.

So, Y\sim Unif(1,5)

(a)

The area under the density curve is always 1.

The length is 5 units.

Compute the height as follows:

\text{Area under the density curve}=\text{length}\times \text{height}

                                          1=5\times\text{height}\\\\\text{height}=\frac{1}{5}\\\\\text{height}=0.20

Thus, the height of the density curve is 0.20.

(b)

Compute the value of P (Y > 3.75) as follows:

P(Y>3.75)=\int\limits^{5}_{3.75} {\frac{1}{b-a}} \, dy \\\\=\int\limits^{5}_{3.75} {\frac{1}{5-1}} \, dy\\\\=\frac{1}{4}\times [y]^{5}_{3.75}\\\\=\frac{5-3.75}{4}\\\\=0.3125\\\\\approx 0.31

Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.

(c)

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P(Y

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uranmaximum [27]

The maximum number of hours for which you can rent the scooter is: 4 hours

<h3>Cost of renting;</h3>

According to the question;

  • The maximum amount you can spend for renting a motor scooter is $50
  • The rental fee is $12 and the cost per hour is $9.50.

The inequality to determine the maximum number of hours you can rent the scooter is;

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Solving the inequality, we have;

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h <= 4hours.

Read more on cost of renting;

brainly.com/question/10563785

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