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Answer:
(a) 
The expected number in the sample that treats hazardous waste on-site is 0.383.
(b) 
There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.
Step-by-step explanation:
Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.
N = 209
Only eight of these facilities treated hazardous waste on-site.
r = 8
a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?
n = 10
The expected number in the sample that treats hazardous waste on-site is given by




Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.
b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site
The probability is given by
For the given case, we have
N = 209
n = 10
r = 8
x = 4




Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.
Answer:
24x^2 - 12x
Step-by-step explanation:
C=4x -2
D=x + 5x
(4x - 2) * (x +5x)
4x^2 + 20x^2 - 2x - 10x
=24x^2 - 12x
Answer:
The answer should be 44.72 inches.
Step-by-step explanation:
In order to find the height when given the volume, use the formula V=Ah
The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2
Now, 1,000= .5x^2(h).
Take the volume and divide it by .5. This gives you 2,000.
Now the equation is 2,000=x^2 (h)
Take the square root of 2,000 and this gives you the answer of 44.72 inches.