Answer:
Step-by-step explanation:
#3
(i)
- P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28
(ii)
- P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56
(iii)
- P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56
<u>Another way:</u>
- P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56
#4
Outcomes with two fair coins: TT, TH, HT, HH
Outcomes with normal dice: 1 to 6
a)
- P(odd number) = 3/6 = 1/2
b)
- P(two heads and an even number) = 1/4*3/6 = 1/8
c)
- P(head and tail) = 1/2
- P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
- P(head, tail and prime) = 1/2*1/2 = 1/4
d)
- P(two tails and odd number) = 1/4*3/6 = 1/8
Answer:
The height is 10in
Step-by-step explanation:
If you need to calculate the volume, you need to know the formula. The formula is length x width x height. You have the length and width, so you need the height. 2.5in x 15in x 10in = 375 in^3. You may ask why it is inches cubed instead of inches. It is inches cubed because you multiplied three inches together.
Children’s tickets are $4, adult tickets are $14
Explanation:
4a+6c=80
If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.
4a+6*4=80
4a+24=80
4a=56
14=a
So each adult ticket costs $14.
You can check by filling in $14 and $4 for each equation.
4*14+6*4=80
4*14+7*4=84
Answer:
52 minutes
Step-by-step explanation:
it takes him 13 minutes to complete 5 so if he wants to do 20 problems do 20 divided by 5 (4) then do 13 times 4=52
