The conditional probability of event B happening given that event A happened is given by:

Let A be the event "children get allowance and let B be the event "children do houshold chores". From the information given we have that:

and

Then the probability that a child does household chores given that it gets allowance is:

Therefore the probability 66.67%
Area is equal to length x height. Let us say that the height of the book is x, and then the length would be x-2.
Area = length x height
15 = (x-2)x
15= x^2 - 2x
0= x^2 -2x -15
x = 5
So the length would be (5-2)=3, and the height would be 5.
The overall perimeter would be 2xlength +2xheight so 6+10=16.
Answer:
Step-by-step explanation:
sinx=(opposite side)/(hypotenuse)
There really is no ‘explanation’ as that ratio IS the definition of sin.
Northerly 835cos41.5=625.4km/h
westerly 835sin41.5=553.3km/h
The area of a trapezoid is
A = (1/2) (h) (b1 + b2).
( 'h' is the height of the trapezoid. 'b1' and 'b2' are its two bases.)
You want the equation solved for one base.
A = (1/2) (h) (b1 + b2).
Multiply each side by 2 : 2A = h(b1 + b2)
Divide each side by 'h' : 2A/h = b1 + b2
Subtract b1 from each side: <em>2A/h - b1 = b2</em>