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2 years ago

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Allied Plumbing charges $45 per service call plus $30 per hour. Ajax Plumbing charges $60 per service call plus $25 per hour. Ho

w many hours would a service call have to last in order for the total cost of each company to be the same?

1 answer:

blagie [28]2 years ago

3 0

Answer:

that crazy bro wow so crazy

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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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2 years ago

The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?

olasank [31]

Please mark as brainliest

Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

<em><u>Please mark as brainliest</u></em>

Have a great day, be safe and healthy

Thank u

XD

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2 years ago

Y-intercept:<br>Rate:<br>Growth or Decay?

Viefleur [7K]

Answer:

Growth

Step-by-step explanation:

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A parallelogram has an area of 37. 72 m² and a height of 4. 6 m. How long is the base of the parallelogram? Enter your answer as

antiseptic1488 [7]

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

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3139291489

Step-by-step explanation:

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