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3 years ago

Marcus was showing how he solved a division problem with the area model below. His pen exploded ink on some of his work.

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Answer:

Step-by-step explanation:

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

5 0

3 years ago

One carpet cleaning cost are shown in the table. The relationship is linear. Find and interpret the rate of change and the initi

Ainat [17]

I see from the given data that each additional carpet after the first costs $50 each to have cleaned.

The first costs $125. Supposing we subtract $50 from that, we get $75. So, it sounds like it costs $75 just to get the carpet cleaners to your house.

The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }

Let's check this result. Suppose x = 1. Will the charge be $125, as show in the table? $75 + $50(1) = $125. Correct.

Suppose x = 4. Will the charge be $275 as shown in the table?
$75 + $50(4) = $275. YES

4 0

4 years ago

What do I do here and how

rewona [7]

Answer:

parallel

Step-by-step explanation: It was hard to guess since it didn't show no shape.

4 0

3 years ago

Read 2 more answers

Is 3xy + 8 = 4y a linear equation ?

WITCHER [35]