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Elis [28]
3 years ago
10

According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adu

lt bedroom: 0.03 Child bedroom: 0.15 Other bedroom: 0.14 Office or den: 0.40 Other rooms: 0.28 (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in a bedroom? (c) Suppose a household is selected at random from households with a PC; in what room would you expect to find a PC?
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

a) 0.32

b) 0.68

c) Office or den

Step-by-step explanation:

a) The probability that a PC is in a bedroom is the sum of the probabilities of a PC being is an adult bedroom, child bedroom or other bedroom:

P(B) =P(adult)+P(child)+P(other)\\P(B) = 0.03+0.15+0.14\\P(B) =0.32

b) The probability that a PC is not in a bedroom is 100% minus the probability of it being in a bedroom:

P(Not\ B) = 1- P(B)\\P(Not\ B) =1-0.32\\P(Not\ B) =0.68

c) The expected room to find a PC from a randomly selected household is the room with highest likelihood of having a PC according to Consumer Digest. The Office or den, is the most probable room with a 0.40 chance.

You would expect to find a PC in the Office or den.

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3 years ago
Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
maria [59]

There is no solution for the given function \rm f(x) = -0.5|2x+2|+1 when f(x) = 6 option fourth is correct.

It is given that the function  \rm f(x) = -0.5|2x+2|+1

It is required to find the values of x when f(x) = 6

<h3>What is a function?</h3>

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

\rm f(x) = -0.5|2x+2|+1

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

\rm 6 = -0.5|2x+2|+1   or

\rm  -0.5|2x+2|+1= 6\\\\\rm  -0.5|2x+2|= 6-1\\\\\rm  -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function \rm f(x) = -0.5|2x+2|+1 when f(x) = 6.

Learn more about the function here:

brainly.com/question/5245372

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