13. You are debating about whether to buy a new computer for $800.00 or refurbished computer with the same equipment for $640.00
2 answers:
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Answer:
a)
The total number of students who participated in the survey is 97
b)
P(male) = 0.5361
c)
P(A) = 0.2474
d)
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B.
e)
The events female and TV show C are mutually exclusive since no female participant prefers TV show C
Step-by-step explanation:
a)
The total number of students who participated in the survey is obtained as;
Number of male participants + number of female participants
52 + 45 = 97
b)
P(male)
This is the probability that a randomly selected individual would be a male;
P(male) = ( number of male participants) / ( total participants)
= 52/97 = 0.5361
c)
P(A)
This is the probability that a randomly selected participant would prefer TV show A;
P(A) = ( participants who prefer TV show A) / (total participants)
= 24/97 = 0.2474
d)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B. The probability is thus not 0.
e)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events female and TV show C are mutually exclusive since no female participant prefers TV show C. The probability is thus 0.
Answer:
11880 different slates of candidates are possible.
Step-by-step explanation:
The order is important in this problem.
That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.
So we use the permutations formula to solve this problem.
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different slates of candidates are possible?
Four roles in a set of 12 members. So
11880 different slates of candidates are possible.
Answer:
Step-by-step explanation:
We have to use the law of indices for finding the equivalent expression.
We square 8, which is 64 and multiply the two powers.
We multiply the 2 powers giving us,
, which simplifies to 2.
×
=
This is the answer as we multiply the two indices together.
I hope this helps!! ^-^