What number is 35% of 22?

1 answer:

7 0

<span>The answer is 7.7. Let x be the number we are looking for. So x is 35% and we know that 22 is 100%. Make a proportion: x : 35% = 22 : 100%. Cross the products: x * 100% = 22 * 35%. x * 100% = 770%. x = 770% : 100%. x = 7.7. Thus, 7.7 is 35% of 22. </span>

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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad

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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 :

$P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)$ (1)

Similarly ,

$P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792$

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

$P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264$

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

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Step-by-step explanation:

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