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xeze [42]
2 years ago
8

Yen paid $10.50 for 2.5 pounds of pretzels. what price did she pay for each pound of pretzels?

Mathematics
2 answers:
mote1985 [20]2 years ago
3 0
You only must do a proportion:

1\ pound\cdot \frac{10.50\$}{2.5\ pound} = \bf 4.20\$

The price of each pound of pretzels is 4.20$.
Orlov [11]2 years ago
3 0

Answer:

The price of each pound of pretzels is 4.20$

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Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

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f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

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on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

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