No, when you substitute it into the first equation for x and y it does not equal 36 this it's not a solution
(-3)-(3)(11)=36
-3-33=36
-36 =/ 36
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:
26m
Step-by-step explanation:
10^2+24^2=26^2
Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
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4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Step-by-step explanation:
Number of sodas sold = x
Number of hot dogs sold = x - 54
Total number of sodas and hot dogs = x + x - 54 = 2x - 54
Total number = 102
2x - 54 = 102
2x = 156
x = 78
Number of sodas sold = x = 78
Number of hot dogs sold = x - 54 = 78 - 54 = 24
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24