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tresset_1 [31]
3 years ago
10

A pet survey found that the ratio of dogs to cats is 2/5 . Which proportion shows the number of dogs the number of cats is 140?

Mathematics
2 answers:
dem82 [27]3 years ago
7 0
2/5 = x / 140

5x = 280
X = 56
Number of dogs = 56
kolbaska11 [484]3 years ago
3 0
There are 56 dogs for every 140 cats.
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Answer:

a) The expected value is \frac{-1}{15}

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Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

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Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is \binom{5}{2}. Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

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Probability of winning: \frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}

Probability of losing \frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}

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Consider the expected value of the square of the amount you can win, Then

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Var(X) = E(X^2)-E(X)^2

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Var(X) = \frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}

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Step-by-step explanation:

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