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liberstina [14]
3 years ago
9

A clothing article was originally priced at $120. It was reduced for a sale to $90. What fractional part of the original price w

as the discount?
Mathematics
1 answer:
NemiM [27]3 years ago
5 0
 Write 90 out of 120 as a fraction-90/120. Simplify that until you can't any more and you get 3/4 of the original price.
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3 1/3 divided by 1 7/8 in simplest form
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Answer:

1 7/9

Step-by-step explanation:

Convert the mixed numbers into impropr numbers & the multiply the first numbe rof the reciprocal of the second (switch the last numbers)

10/3 divided by 15/8

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Answer: 80/45 or 1 7/9

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2 years ago
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Kelly made a blueberry pie. After measuring the pie tin, Kelly calculated it has an area of 78.5 square inches. What is the pie
Lostsunrise [7]

Answer:

The radius is 5 in

Step-by-step explanation:

The area of a circle is given by the formula

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Let Y be a random variable with a density function given by
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From the given density function we find the distribution function,

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(a)

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\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

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3 years ago
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