3 years ago

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.

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3 years ago

Please answer this! Will award Brainliest!

serg [7]

Answer:

2^20/3^8

Step-by-step explanation:

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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!

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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:

Step-by-step explanation:

8*8=64

6*4=24

64+24=88

88 stamps

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4 years ago