Answer: 
Step-by-step explanation:
Given : The dimension of a rectangle is (x+10)ft. by (x+4)ft.
Then, Area of rectangle will be :-
If a square of length xft on a side is cut from the rectangle, then the area of the square :-
Now, the remaining area in the form of a polynomial function A(x) will be :-
Hence, the remaining area in the form of a polynomial function A(x) will be :-
The range of the function f(x) = |x| is [0,∞)
<h3>How to determine the range?</h3>
The function is given as:
f(x) = |x|
The above is the parent equation of an absolute value function.
The above function cannot output any negative value.
This means that:
ƒ(x) >= 0
As an interval notation, we have:
[0,∞)
Hence, the range of the function f(x) = |x| is [0,∞)
Read more about range at:
brainly.com/question/10197594
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I'm not sure how you got c but the way you would solve this is for every x on the line plot you would add that amount. You don't need to worry about 0 because 0 is nothing.
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:
The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
