Amanda was asked by her math teacher to solve an inequality on the board. Amanda put the following on the board: 3x - 2(x - 1) ≤

2x - 10 3x - 2x + 2 ≤ 2x - 10 1x ≤ 2x - 12 -1x ≤ -12 x ≤ 12 The other students were asked to do an error analysis on Amanda's work. What did the other students say? Did Amanda make a mistake, and if so what did she do wrong?

Mathematics

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

PIT_PIT [12445]

Answer:

a) 0.32

b) 0.68

c) Office or den

Step-by-step explanation:

a) The likelihood that a personal computer is located in a bedroom can be calculated by adding the probabilities of it being in an adult bedroom, child bedroom, or another bedroom:

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

b) The probability of a PC not being located in a bedroom is found by calculating 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 location for finding a personal computer in a randomly selected household is derived from the room most likely to contain a PC according to Consumer Digest. The Office or den ranks as the most likely place with a probability of 0.40.

A PC would most likely be found in the Office or den.

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