Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)
Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2
Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).
So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.
y = x, if -2 < x < 3.
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)
Answer:

Step-by-step explanation:
Given


Required
Determine UV
From the question, we have

Make UV the subject of formula

Substitute 11 and 13 for VW and UW, respectively


Solution: We are given:

Let
be the weight (oz) of laptop
We have to find 
To find the this probability, we need to find the z score value.
The z score is given below:



Now, we have to find 
Using the standard normal table, we have:

0.9236 or 92.36% of laptops are overweight
Answer:
B. VOLUNTARY RESPONSE
Step-by-step explanation: