Answer: 24) d 25) d 26) d 27) a
<u>Step-by-step explanation:</u>
24)
a) a card can be red and a diamond --> Not mutually exclusive
b) a sum of 8 can include an even number (e.g. 2 + 6) --> Not mutually exclusive
c) a black card can be a Queen --> Not mutually exclusive
d) a 3 CANNOT be an even number --> Mutually exclusive!
25)
In order for event A and event B to be mutually exclusive, they cannot intersect --> P(A ∩ B) = 0
26)
P(B) = 0.34
P(A ∪ B) = 0.62
p(A ∩ B) = 0 <em>because they are mutually exclusive </em>
--> P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
0.62 = P(A) + 0.34 - 0
0.28 = P(A)
--> P(A)' = P(not A)
= 1 - P(A)
= 1 - 0.28
= 0.72
27)
hockey game = P(A) = 0.4
dance = P(B) = 0.5
hockey or dance = P(A ∪ B) = 0.8
--> hockey and dance = P(A ∩ B)
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
0.8 = 0.4 + 0.5 - P(A ∩ B)
- 0.1 = -P(A ∩ B)
0.1 = P(A ∩ B)
Answer: y
=
x
2
+
93
x
−
288
Your Welcome
4 vertical angles, these are the legs of the table
:)
So we need to figure out how much he earns. So, if he takes two passengers and he charges a flat fee of $4.00 the he already has $8.00. So now we need to figure out how much money he gets from 4.8 miles and 7.3 miles. So he charges 2.25 miles per hour. So to get the first evening we have to multiply 4.8 times 2.25 to get $ 10.80. To get the next passenger we have to multiply 7.3 times 2.25. When you multiply 7.3 by 2.25 is 16.425. So you add the totals together and get $ 13.225 or 13.22
Hi there!
5/8 + 3/8 = 1.
To find this subtract 1 - 5/8.
So, 3/8 is your answer.
Hope this helps ;)