Your grade will most likely be an A
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have


substitute

step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:
(-14)+(-8)
Step-by-step explanation:
Answer:
The probability that there will be enough seats for all people who turn up is 0.78
Step-by-step explanation:
Given:
A = 500
B = 550
Since it is known from experience that 10% of people who bought tickets don't show up, to find the probability that there will be enough seats for those who show up, we have:
Percentage that will turn up = 100℅ - 10℅ = 90℅
Since 90℅ will turn up, that means the number of passengers will be less than 500.
Therefore for P less than or equal to 500, we use:
P ( X <_ 500) =
= [500 + 0.5 - (550 * 0.9)] / sqrt*(550 * 0. 9 * 0.1)
= 0.78
Therefore, the probability that there will be enough seats for all people who turn up is 0.78
Answer:
-1/6
Step-by-step explanation:
= 1/3 (-1-1) x -1/4 (-1)
= 1/3 (-2) x 1/4
= -2/3 x 1/4
= -2\12
2 and 12 can cancel out each other.
so the answer will be.
= -1/6.