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monitta
3 years ago
6

75% of what number is 27?

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
<span>So we want to know the number from which we take 75% and get 27. If the number we are looking for is x, then the equation to find that x would be: (75/100)*x=27 which says seventy five percent out of x is equal 27. So, x=(27*100)/75. And finally, x= 2700/75=36. So, 75% out of 36 is 27.</span>
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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}

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3 years ago
Can I have some help?
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3 years ago
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nikdorinn [45]

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In the polynomial we are given, the only power is 2 which makes it greatest.

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