Answer :
6. x=28
7.x =6
8. x =9
9. x =9
Step-by-step explanation:
6.
(x+2)/10 = 3
Cross multiply
x+2 = 10 ×3
x+2 =30
Collect like terms and simplify
x =30-2
x = 28
7.
8x +9 -5x= 27
Collect like terms and simplify
8x-5x =27-9
3x =18
Divide both sides of the equation by 3
3x/3 = 18/3
x = 6
8.
10x+8=8x+26
Collect like terms
10x-8x=26-8
2x = 18
Divide both sides of the equation by 2
2x/2 = 18/2
x = 9
9.
2(x-5)+4x=x+35
Use 2 to open the bracket
2 × x =2x
2×(-5) =-10
2x-10+4x =x+35
Collect like terms and simplify
2x+4x-x = 35+10
5x = 45
Divide both sides of the equation by 5
5x/5 = 45/5
x =9
The value of the missing probability is:
P(A) = 1/5
So the correct option is D.
<h3>How to find the missing probability?</h3>
First, we know that:
P(A∩B) = probability that events A and B are true = 3/100
And we also know that:
P(B|A) = probability that event B is true given that event A is true = 3/20
Here we have the rule:
P(A∩B) = P(B|A)*P(A)
Replacing the first two:
3/100 = (3/20)*P(A)
Solving for P(A), we get:
(3/100)*(20/3) = 1/5 = P(A).
So we conclude that the correct option for the missing probability is the one in option D.
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Flutes-10, 5, 2
Clarinets- 8, 12, 16
10:8=5:4
5:12
2:16=1:8
Hope this helps!
Answer:
3x^2+1.5x-9
Step-by-step explanation:
(f+g) (x)
=f(x)+g(x)
=x/2-3+3x^2+x-6
=3x^2+1.5x-9
