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4 years ago

Solve the inequality -a>-25

Mathematics

1 answer:

Arisa [49]4 years ago

4 0

Answer:

a<25

hope this helps you're welcome

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3 years ago

Determine the missing card value that will result in a product of -324<br> -6 3 -9

IgorLugansk [536]

Answer:

-2

Step-by-step explanation:

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3 years ago

Each one of four people will request either Coke D Let X denote the number that request Coke, where the remainder request Sprite

34kurt

Answer:

a) E(x)=2.5 V(x)=1.59

b) E(R)=17 V(R)=6.36

c) The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

Step-by-step explanation:

a) The mean E(x) can be calculated as:

$E(x)=\sum^4_{i=0} p_ix_i\\\\E(x)=0.09*0+0.15*1+0.18*2+0.33*3+0.25*4\\\\E(x)=0.00+0.15+0.36+0.99+1.00\\\\E(x)=2.5$

The variance V(x) can be calculated as:

$V(x)=\sum^4_{i=0} p_i(x_i-\bar x)^2\\\\V(x)=0.09(0-2.5)^2+0.15(1-2.5)^2+0.18(2-2.5)^2+0.33(3-2.5)^2+0.25(3-2.5)^2\\\\V(x)=0.09*6.25+0.15*2.25+0.18*0.25+0.33*0.25+0.25*2.25\\\\V(x)=0.5625+0.3375+0.045+0.0825+0.5625\\\\V(x)=1.59$

b) The revenue can be expressed as:

$R=5*x+3*(4-x)$

Then, the expected value of R canbe expressed in function of x:

$E(R)=E(5x+3(4-x))=5E(x)+3(4-E(x))\\\\E(R)=5*2.5+3(4-2.5)=12.5+4.5=17$

The expected revenue is $17.

The variance of R is

$V(R)=V(5*x+3(4-x))=V(5x+12-3x)=V(2x+12)\\\\V(R)=V(2x)+V(12)=2^2V(x)+0=4*1.59\\\\V(R)=6.36$

c) In the case there are only 3 Cokes and 3 Sprites available, the only orders that can not be fullfilled are when X=0 (they order 4 Sprites) and X=4 (they order 4 Cokes).

The probability of these events is:

$P(x=0,x=4)=P(x=0)+P(x=4)=0.09+0.25=0.34$