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antiseptic1488 [7]
3 years ago
11

Evaluate: Find 2x + 3y when x=3 and y=-2

Mathematics
2 answers:
Troyanec [42]3 years ago
7 0
2x+3y=\\2(3)+3(-2)=\\6-6=\\0

0
kupik [55]3 years ago
4 0
Plug x=3 and y=-2 in 2x+ 3y, we have:
2*3+ 3*(-2)
= 6 -6
= 0

The final answer is 0~
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The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.

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An item is defective irrespective of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.

The repair cost of the item is given by:

C=3X^{2}+X+2

Compute the expected cost of repair as follows:

E(C)=E(3X^{2}+X+2)

        =3E(X^{2})+E(X)+2

Compute the expected value of <em>X</em> as follows:

E(X)=np

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The expected value of <em>X</em> is 0.36.

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)

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The variance of <em>X</em> is 0.3276.

The variance can also be computed using the formula:

V(X)=E(Y^{2})-(E(Y))^{2}

Then the formula of E(Y^{2}) is:

E(Y^{2})=V(X)+(E(Y))^{2}

Compute the value of E(Y^{2}) as follows:

E(Y^{2})=V(X)+(E(Y))^{2}

          =0.3276+(0.36)^{2}\\=0.4572

The expected repair cost is:

E(C)=3E(X^{2})+E(X)+2

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Thus, the expected repair cost is $3.73.

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3 years ago
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