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navik [9.2K]
3 years ago
11

Solve the system of equations using substitution.

Mathematics
2 answers:
TEA [102]3 years ago
6 0
I think the answer is C
Lunna [17]3 years ago
5 0
See attached picture for answer:

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If A, B, and C are mutually exclusive events with P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4, determine the following probabilities:
fiasKO [112]

a. The events are mutually exclusive, so

P(A\cup B\cup C)=P(A)+P(B)+P(C)=\boxed{0.9}

b. For the same reason,

P(A\cap B\cap C)=\boxed0

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

P(A\cap B\cap C)=P(A)+P(B)+P(C)-P(A\cup B\cup C)

and the right side reduces to 0.

c. Same as (b),

P(A\cap B)=\boxed0

d. Same as (b),

P((A\cup B)\cap C)=\boxed0

We can also use the distributivity rule for unions and intersections to write

P((A\cup B)\cap C)=P((A\cap C)\cup(B\cap C))=P(A\cap C)+P(B\cap C)=0

e. If the A' is the complement of A, then by DeMorgan's law,

P(A'\cap B'\cap C')=P(A\cup B\cup C)'=1-P(A\cup B\cup C)=\boxed{0.1}

4 0
3 years ago
you have been asked to build a scale model of your school out of toothpicks . Imagine your school is 30ft tall . your scale is 1
zmey [24]
1.26cm/1ft * 30ft = 37.8cm
37.8cm/6.3cm=6
Your model would be six toothpicks tall.
7 0
3 years ago
Please answer this! Will award Brainliest!​
serg [7]

Answer:

2^20/3^8

Step-by-step explanation:

6 0
3 years ago
Your basketball team plays 5 games, your team scores 10 points in the first game, 3 points im the second game, 2 points in the t
andrew-mc [135]
I believe the answer is 4 points. Hope this helps!
4 0
3 years ago
A large stamp book has 8 pages and each page has 8 stamps.A small stamp has 6 pages and each page has 4 stamps.If francois buy 1
IrinaVladis [17]

Answer:

88

Step-by-step explanation:

8*8=64

6*4=24

64+24=88

88 stamps

8 0
4 years ago
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