Answer:
x=-1
Step-by-step explanation:
Step 1: Factor left side of equation.
(x+1)(x+1)=0
Step 2: Set factors equal to 0.
x+1=0 or x+1=0
x=−1
Answer:
a) T(r) = r.D(r)
b) 975 people per square mile.
Step-by-step explanation:
(a)
The units of D(r) are

when multiplying the density by the area we get the amount of people in that area, so

(b)
The average rate of change of T(r) over the interval [5,7] is

but D(7) = 350 and D(5) = 100, so

and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given

See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:





Divide each outcome by 12, to get the proportion of green in each trial





The above shows that the proportion of green in most of the trial is less than 40%
<em>Hence, the number generator is not fair.</em>
The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.
<h3>
How high will be the pile of papers?</h3>
We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:
H = 0.55mm*274 = 150.7mm
Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:
V = H*W*L
In this case, we have:
- H = 150.7mm
- W = 18.5 cm = 185 mm
- L = 24.5 cm = 245 mm
Then the volume is:
V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³
If you want to learn more about volumes:
brainly.com/question/1972490
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