For all of these answers, the equation used was (AB + CD)/2 = EF
1.12+24=36 36/2=18
2. 21 + 35 = 56 56/2 = 28
3. (7 + EF)/2 = 9
multiply by 2
7 + EF = 18
subtract 7
EF = 11
4. (AB + 32)/2 = 22
Multiply by 2
AB + 32 = 44
Subract 32
AB = 12
5. Average
after 8 hours there are 995 bacteria cells left
let y be the amount after 8 hours
the multiplying factor is 100 - 5 = 95 % = 0.95
y = 1500 × 
= 995
Answer:
0.9355
Step-by-step explanation:
What we will use here is conditional probability formula.
let A be the event that the plane departs on time
and B be the event that it arrives on time
P(A) = 0.87
P(B|A) = 0.93
P(B) = ?
P(A n B) = ?
Mathematically;
P(B|A) = P(B nA)/P(A)
0.93 = 0.87/P(A)
P(A) = 0.87/0.93
P(A) = 0.935483870967742
which is 0.9355 to four decimal places
Answer:
Step-by-step explanation:
Let the age of of Mrs brook be x
Age of her son be y
If Mrs.Brooks lacks 7 years from being five times as old as her son, this means;
x = 5y - 7 ..... 1
six years from now;
Mrs brooks age = x + 6
sons age = y + 6
If Six years from now she will lack 3 years from being three times as old as her son, this means;
x+ 6 = 3(y+6) - 3
x+6 = 3y + 18 - 3
x+6 = 3y + 15 .... 2
substitute 1 into 2;
(5y - 7)+6 = 3y + 15
5y - 1 = 3y + 15
5y-3y = 15 + 1
2y = 16
y = 8
substitute y = 8 into equation 1;
x = 5y - 7
x = 5(8)-7
x = 40-7
x = 33
Hence the mrs brook is 33 years old
her son is 8 years old
