Remember, you can do anything to an equation as long as you do it to both sides
we hates fractions
times both sides by 3
(we could have added 1/3b to both sides but I'm lazy)
4b+6=12-b
add b to both sides
5b+6=12
minus 6 both sides
5b=6
divide both sides by 5
Answer:
d. 6cm, 6cm, 6cm
Step-by-step explanation:
each one of the rulers is lined correctly and shows that it is 6 cm
Answer:
<u>v = √(LT/m)</u>
Step-by-step explanation:
Given :
Multiply both sides with L :
- T × L = mv²/L x L
- LT = mv²
Divide both sides by m :
- LT × 1/m = mv² × 1/m
- LT/m = v²
Take the square root on each side :
- √v² = √(LT/m)
- <u>v = √(LT/m)</u>
Answer:
1 1/9
Step-by-step explanation:
Answer:
The probability of the chosen ball being shiny conditional on it being red is; 0.375
Step-by-step explanation:
Let A be the event that a red ball has been chosen
Let B be the event that a shiny ball has been chosen
Let S be the total outcomes = 150 balls
Thus;
P(A ∩ B ) = 36/150
A ∩ B' = 150 - 36 - 54
A ∩ B' = 60
Thus; P(A ∩ B') = 60/150
P(A') = 54/150
P(A) = (150 - 54)/150 = 96/150
Thus, probability of the chosen ball being shiny conditional on it being red is;
P(B | A) = P(B ∩ A)/P(A)
Thus; P(B | A) = (36/150)/(96/150)
P(B | A) = 0.375