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3 years ago

The image of the point (6, 6) under a translation is (5,2). Find the coordinates of

Mathematics

1 answer:

Dmitry [639]3 years ago

6 0

9514 1404 393

Answer:

(-1, -2)

Step-by-step explanation:

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

X - (0, 2) = (5, 2) -(6, 6)

X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)

X = (-1, -2)

The image of the point after translation is (-1, -2).

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Is the following relation a function?

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3 years ago

a pool tank fills 60 gallons of water in 1/5 of an hour. How many gallons of water can be filled up in 1 hour?

klasskru [66]

If it takes 1/5 hour to fill 60 gallons
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3 years ago

Read 2 more answers

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

What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?

STALIN [3.7K]

Answer:

6%.

Step-by-step explanation:

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3 years ago

Which interval contains the median sandwich price?

lakkis [162]

Answer:

C $11–$12

Step-by-step explanation:

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2 years ago