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:
b = 24
Step-by-step explanation:
<u>Concepts</u>
The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation
. We can also use this formula to solve for the other two legs in the right triangle.
<u>Application</u>
In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.
<u>Solution</u>
Step 1: Set up equation and simplify.
Step 2: Subtract 100 from both sides.
Step 3: Take square root of both sides.
Therefore, b = 24.
Answer:
yes
Step-by-step explanation:
Answer:
he will owe $1,047 in total and $97.37 in interest
Answer: 2 1/4
Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4