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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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Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
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Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

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Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

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3 years ago
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