The answer I believe is c
Answer:
n = -15 and n = 9. n = -15 is not reasonable because you can't have negative boxes or negative units of measurement.
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n^2 + 2n + 4n + 8 = 143
n^2 + 6n - 135 = 0
(n + 15)(n - 9) = 0
n + 15 = 0
n = -15
n - 9 = 0
n = 9
I got two solutions: n = -15 and n = 9. Only one is reasonable because you cannot have a negative number of boxes or negative weight.
Hope this helps!
Answer:
Given equation:
Take natural logs of both sides:
Expand brackets:
Collect like terms:
Factor left sides:
Simplify:
Assuming that the population follows an exponential function, the it will take the form:
y=a(bˣ)
where:
a=initial value
b=growth factor
x=time
thus plugging our values in the equation we get:
y=40000(1.1ˣ)
thus the population in 2011 when t=3 will be:
y=40000(1.1³)
y=53240
Answer:
Probabilty of first component drawn defective= 0.1161
Probability of second component drawn defective= 0.1560
Step-by-step explanation:
Total component = 9
Defective component= 3
Non-defective component= 6
Probability of defective= 3/9
= 0.3333
Probabilty of non defective= 1-0.3333
= 0.6666
Probabilty of first component drawn is defective
= 9C1(0.333)¹(0.6666)^8
= 9(0.3333)(0.0387)
= 0.1161
Probabilty of second component is defective
= 8C1(0.3333)¹(0.6666)^7
= 8(0.3333)(0.0585)
= 0.1560
