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:
7690.6 cubic feet
Step-by-step explanation:
V=πr^2h
= π x 12^2 x 17
= 7690.6 cubic feet
Answer:
regular a polygon is: c, e, a
irregular is: b
not a polygon is f, d
Step-by-step explanation:
Regular is a normal shape which has angles
Irregular has straight lines all the way.
Not a polygon has not straight lines and sometimes has a gap in between the lines.
Hope this helps.
Answer:
1,000,000
Step-by-step explanation:
addition and maths
The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.
