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3 years ago

Factor c2 +6C + 8 = 0

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

c = √ 2 ( − 3 C − 4 )

c = − √ 2 ( − 3 C− 4 )

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3 years ago

José’s mother is trying to decide whether or not she should buy a 12-ounce package of coffee on sale for $7.50. She knows that s

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3 years ago

The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Pr

aniked [119]

Answer:

(a) $E(X) = 0.383$

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) $P(x = 4) = 0.000169$

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

$E(X) = \frac{n \times r}{N}$

$E(X) = \frac{10 \times 8}{209}$

$E(X) = \frac{80}{209}$

$E(X) = 0.383$

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

$P(x = 4) = \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}}$

For the given case, we have

N = 209

n = 10

r = 8

x = 4

$P(x = 4) = \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}}$

$P(x = 4) = \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}}$

$$ P(x = 4) = \frac{70 \times 84944276340}{35216131179263320}$

$P(x = 4) = 0.000169$

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

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3 years ago

Enter the value of n so that the expression (3y+1)+(2y+8) is equivalent to (ny+9)

Mariulka [41]

It will be equivalent to (5y+9)

hope i was able to help and i wasn’t to late.

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3 years ago

Read 2 more answers

What is the area of the given rectangle?

Salsk061 [2.6K]

Answer:

15 square inches

Step-by-step explanation:

area of retangle =L×B

area of rectangle =5×3=15

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3 years ago