3 years ago

Can somebody help me please? Simplify (x − 4)(x2 + 3x + 2).

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

(x - 4)(x^2 + 3x + 2) =
x(x^2 + 3x + 2) - 4(x^2 + 3x + 2) =
x^3 + 3x^2 + 2x - 4x^2 - 12x - 8 =
x^3 -x^2 - 10x - 8

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Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

IrinaK [193]

Answer:

0.84

Step-by-step explanation:

Given that Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

P(A) = 0.86, P(B) = 0.79, P(A') = 0.14, P(AUB) = 0.95

We are to find out P(A'UB)

We have

$P(AUB) =P(A)+P(B)-P(A\bigcap B)\\0.95=0.86+0.79-P(A\bigcap B)\\P(A\bigcap B)=0.70$

$P(A'UB) = P(A')+P(B)-P(A' \bigcap B)\\= 1-P(A) +P(B)-[P(B)-P(A \bigcap B)]\\= 1-0.86+0.79-P(B)+[tex]P(A'UB)=0.14+0.79-0.79+0.70\\=0.84$ P(A \bigcap B)[/tex]