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Gre4nikov [31]
3 years ago
8

Write the augmented matrix for each system of equations.

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

  see below

Step-by-step explanation:

List the coefficients and constant for an equation in one row of the matrix. The variables should be in the same order. Any missing terms are replaced by zero.

  \left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\\6&-6&1&-5\end{array}\right]

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Probability that girls smoke = P₂ = 0.20

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Probability that boys smoke = P₁ = 0.30

Probability that boys don't smoke = P'₁=1-0.30=0.70

We need to find the mean of the sampling distribution of the difference in the sample proportion of girl smokers and boys smokers.

So, it becomes,

E[P_1-P_2]=E[P_1]-E[P_2]\\\\=B\times P_1-G\times P_2\\\\=100\times 0.30-75\times 0.20\\\\=30-15\\\\=15

Hence, required mean would be 15.

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