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ioda
3 years ago
11

"The inverse of every function must be a function itself." State whether you agree or disagree with the statement providing evid

ence to support your position.
Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

A function that is its own inverse is called  a <u>involution.</u> I<u>t is not necessary the inverse of every function must be a function itself.”</u>

<u>Step-by-step explanation</u>:

Inverse is a function that reverse itself

Lets ,consider an equation  used to convert temperature in degrees Fahrenheit( F), to a temperature in degrees Celsius,(C)

C=3/9(F-32)

​But suppose ,we want a equation that did the reverse  that means it converted a temperature in degrees Celsius to a temperature in degrees Fahrenheit. Then we inverse the function as

F=3/9(C+32)

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A manufacturing company makes 1125 items every hour. which or these statements are true ? Check all that apply
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What is the value of the expression 12(m−23n) when m=32 and n=12 ?
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-2,928

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5 0
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.

8 0
3 years ago
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