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3 years ago

38. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for each

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

a. She pays $100 for 5 sheets

b. 25+15x dollars for x sheets

c. 8 sheets

Step-by-step explanation:

Given

Sitting cost = $25

Per sheet picture cost = $15

Let p be the number of sheets of pictures

Then the cost can be written as a function of p

$c(p) = 25+15p$

Now,

a. How much does she pay for 5 sheets of pictures?!

Putting p = 5 in the function

$c(5) = 25 + 15(5)\\= 25+75\\=100$

She will pay $100 for 5 sheets of pictures

b. How much does she pay for "x" sheets?

Putting x in place of p

$c(x) = 25+15x$

c. How many sheets can she buy for $145?

We know the cost now, we have to find p so,

$145 = 25+15p\\145-25 = 25+15p-25\\120 = 15p$

Dividing both sides by 15

$\frac{15p}{15} = \frac{120}{15}\\p = 8$

Hence,

She can buy 8 sheets for $145

Keywords: Linear equation, Algebraic functions

Learn more about functions at:

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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I hope it helps you!

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Step-by-step explanation:

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3 years ago

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melamori03 [73]

Answer:

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Step-by-step explanation:

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X~ Uniform(0,100)

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$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

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$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

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$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

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