4/(m+9)+5/(m^2-81)=
4/ ( m+9) +5 / ( m-9)(m+9)=
4(m-9)/(m+9)(m-9)+ 5 / (m+9)(m-9)=
(4m-36+5)/(m+9)(m-9)=
4m-31/ (m+9)(m-9)
the answer is D
Answer:
Answer explained below
Step-by-step explanation:
Alex has in the past committed 55% of the burglaries committed by the three, Becky 31%, and Carl the rest, hence
probability, P(Carl doing a burglary) = 1 - P(Alex or Becky doing a burglary)
= 1 - (0.55 + 0.31)
= 0.14
a) P(next burglary in town is the burglary of a residence) = P(Alex did a burglary of a residence) + P(Becky did a burglary of a residence) + P(Carl did a burglary of residence
= 0.55*1/3 + 0.31*0.5 + 0.14*1
= 0.4783
b)From Bayes' Theorem: P(A | B) = P(A & B) / P(B)
Hence,
P(Becky | a resident reports a home burglary) = P(Becky did a burglary of a residence) / P(burglary of a residence)
= (0.31 * 0.5)/0.4783
= 0.3240
Answer:
x=4/7
Step-by-step explanation:
6 - 2/3(x+5) = 4x
First I want to clear the fraction so I will multiply everything by 3
3*6 -3* 2/3(x+5) = 3*4x
18 - 2(x+5) =12x
Distribute
18 - 2x-10 =12x
Combine like terms
8 -2x = 12x
Add 2x to each side
8 -2x+2x =12x+2x
8 = 14x
Divide each side by 14
8/14 =14x/14
8/14=x
Divide top and bottom by 2
4/7=x
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Answer:
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
So, the lateral surface area of the cylinder is equal to 
.
