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:
f(x)=|x−13|+11
To find the x
coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0
.
x−13=0
Add 13
to both sides of the equation.
x=13
Replace the variable x
with 13
in the expression.
y=|(13)−13|+11
Simplify |(13)−13|+11
.The absolute value vertex is (13,11)
hope this helps ;)
Answer:
5(m + 5) (m - 8)
Step-by-step explanation:
5m2- 15m- 200
Start by pulling 5 out.
5(m^2 - 3m - 40)
We consider all factors of 40
1 40
2 20
4 10
5 8
Based on the middle term we know that 5 and 8 are our best option.
5(m 5) (m 8)
We know the signs have to be one + and one - because a - * - = + and + * + = +
Since 5 - 8 would give us -3 we know that our answer is
5(m + 5) (m - 8)
Solve for x:
1.
4x - 7 = 3
Add 7 to both sides
4x = 10
Divide both sides by 4
x = 10/4
Simplify:
x = 5/2
Answer for question 1: x = 5/2
2.
13 + 2x/3 = 15
Multiply both sides by 3
39 + 2x = 45
Subtract 39 from both sides
2x = 6
Divide both sides by 2
x = 3
Answer for question 2: x = 3
3.
10x + 7 = 15
Subtract 7 from both sides
10x = 8
Divide both sides by 10
x = 8/10
Simplify
x = 4/5
Answer for question 3: x = 4/5
Answer:
Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.
Step-by-step explanation:
Given : Process
Step 1: 4x + 2 = 10
Step 2: 4x = 8
To find : Which justification describes the process?
Solution :
From step 1 to step 2, we subtract 2 both sides
Step 1: 4x + 2 = 10
Subtracting 2 both side,
⇒ 4x + 2-2 = 10-2
Step 2: 4x = 8
So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.
Therefore, Option 1 is correct.
