Answer:
5
Step-by-step explanation:
Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X
Solving the equation to find the value of x.
⇒
Using the distributive property of multiplication, multiplying x with 8 and -2
⇒
cancelling out -2x and 2x
⇒
⇒
Multiplying both side by 5
⇒ x=
∴ x= 5
Hence, the value of unknown is 5.
Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,
Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)
Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264