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3 years ago

If h (x) = {(-2,3), (0,4), (1,6), (2, 9)} then what set of values represent h-1 (x) ?

Mathematics

1 answer:

vfiekz [6]3 years ago

7 0

Answer:

$h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}$

Step-by-step explanation:

Given: $h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}$

To find: $h^{-1}(x)$

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

$h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}$

$h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}$

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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

I WILL GIVE BRAINLY! The surface of a table to be built will be in the shape shown below. The distance from the center of the sh

ki77a [65]

Answer:

draw lines center to vertex
43.5 square inches
261 square inches

Step-by-step explanation:

Part A:

The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.

Part B:

The area of each triangle is given by the triangle area formula:

A = (1/2)bh

A = (1/2)(10 in)(8.7 in) = 43.5 in²

Part C:

The area of the table top is 6 times the area of one triangle:

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3 years ago

Read 2 more answers

How do you solve powers of powers in advanced algebra

Anna35 [415]

Ex: 2^2^2

Basically, the base is multiplied by the first power however large the number. Then the new base is multiplied by the second power to get an even larger number.
Say you have a question that asks for the power of the power of 2. Or 2^2^2.

You would do the equation 2^2 first, and end up with 4. But since you have another power, you would have the answer as 4^2. Which would then equal 16. But another equation that is similar is: 2^2^2 = 2^4
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3 years ago

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Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

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