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
Answer:
£3,543.54
Step-by-step explanation:
Amount after 2 years = Principal + interest
Get the interest
Interest = PRT/100
Interest = 3003 * 9 * 2/100
Interest = 3003 * 18/100
Interest = 30.03 * 18
Interest = 540.54
Amount after 2 years = 3003 + 540.54
Amount after 2 years = £3,543.54
Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of
centered at the origin has a rule:

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
Your answer is the matrix with the top row of -8 20 0 and bottom row of
4 32 -4