606 Answered Questions for the topic Finite Math

Finite Math Math

10/11/20

Use De​ Morgan's laws to simplify the given expression. S'∩(S∪T')'

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Finite Math Math Probability

10/10/20

A box contains 5 red and 5 green balls. A ball is selected at random and its color is noted.
If this ball is red, it is replaced; if it is green, it is not replaced. Then, a second ball is drawn and its color is noted. Draw a tree and find the probability that: (a) the second ball is... more
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Finite Math Math Probability

10/09/20

A pair of fair dice is rolled and the numbers noted. What is the probability that the sum is 8 given that at least one die shows a 3?
I have tried to get this question right for days. I honestly hate probabilities but anyway. Can someone explain to me how to solve this? Thanks a bunch!
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Finite Math

10/08/20

five cards are selected from a fair deck. what is the possibility that they contain at least four spades?
five cards are selected from a fair deck. what is the possibility that they contain at least four spades?
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Finite Math

10/08/20

Combinations in Finite
Assume that you have a total of 13 people on the board: 5 out-of-state seniors, 5 in-state seniors, 1 out-of-state non-senior, and 2 in-state non-seniors. University rules require that at least one... more
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Finite Math

10/06/20

Event A and B are disjointed. Pr[A] = 0.15, Pr[B] = 0.45. Find Pr[A U B']
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Finite Math

10/06/20

Finite math, Probability
An unfair coin with Pr[H] = 0.65 is flipped. If the flip results in a head, one student is selected at random from a class of 4 girls and 6 boys. If the flip results in a tail, one student is... more
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Finite Math

10/06/20

Finite Math, Probability
There are 90 students in a class of whom 63 are taking Math and 58 are taking English, 45 of whom are taking both classes. Find the probability that a student is taking Math, given they are taking... more
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Finite Math

10/06/20

Finite Math, Probabilities
It is believed that 10% of the population has diabetes. A medical firm has a test to detect diabetes. The test shows a positive result (the person has diabetes) in 98% of the cases, however, it... more
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Finite Math Geometry

10/04/20

a staircase contains a total of 120 blocks and the top step contains 1 block. How many steps would have been using these blocks of every step upward is decreased by 2 block from the previous step?
Please show step by step please
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Finite Math

10/02/20

Applying linear programming and solving the given equation
A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of product A and $8/unit of product B. To... more
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Finite Math

09/22/20

Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following.
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x1, x2, x3, and x4 as your variables, each... more
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Finite Math

09/16/20

Assume that there are 6 different issues of Time magazine, 7 different issues of Popular Science, and 3 different issues of Sports Illustrated, including the December 1st issue, on a rack.

You choose 4 of them at random.(1.)What is the probability that you choose 3 issues of Time and 1 issue of Popular Science? (2) What is the probability that you choose at least 1 of the Popular... more
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Finite Math

09/16/20

Assume that there are 7 different issues of Sports Illustrated magazine, 6 different issues of Time, and 2 different issues of Newsweek, including the December 1st issue, on a rack
You choose 4 of them at random.(1) What is the probability that exactly 3 are issues issue of Sports Illustrated? (2) What is the probability that you choose the December 1st issue of Newsweek?
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Finite Math Math Mathematics

09/16/20

a group of 7 females and 13 males volunteer for a medical study. how many selections can be made for 4 volunteers if there is at least 1 male? at most 1 female?
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Finite Math

09/15/20

Let U be a universal set with subsets A and B such that n(U)=121, n(A)=65, n(B′)=73, and n(A∩B)=18. Find the following:(1) n(B)= (2) n(A∪B)= (3) n((A∩B)′)=
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Finite Math

09/15/20

Three numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 3-digit number. What is the probability that the number is greater than 537?
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Finite Math

09/15/20

A committee of 3 is to be chosen from 15, 9 Gophers and 6 Badgers, at random. Bucky is one of the Badgers. What is the probability that Bucky and at least one Gopher are selected?
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Finite Math

09/14/20

You have 4 diff. types of vegetables and 7 different types of fruit. A vegetable salad consists of a mixture of any 3 types of vegetables, and a fruit salad consists of a mixture of 4 kinds of fruit.
(1) In how many different ways can you prepare a vegetable salad and a fruit salad? (2) In how many different ways can you prepare a vegetable salad or a fruit salad but not both? (3) How many... more
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Finite Math

09/14/20

Assume that the candle manufacturer has 7 types of round candles and 7 types of square candles available, and a gift set consists of 5 round and 5 square candles.
How many different gift packages are possible?
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Finite Math

09/14/20

Assume that the committee consists of 10 Republicans and 4 Democrats. A subcommittee consisting of 6 people is to be selected.
(1) How many such subcommittees are possible if each subcommittee must contain exactly 4 Republicans and 2 Democrats? (1) How many such subcommittees are possible if each subcommittee must contain... more
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Finite Math

09/14/20

Assume that there are 9 girls and 10 boys in the neighborhood club, and a team of 5 is to be selected.
(1) How many different teams can be selected? (2) How many different teams can be selected if each team must contain exactly 2 girls and 3 boys? (3) How many different teams can be selected if each... more
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Finite Math

09/14/20

1.How many different 5-card hands contain exactly 4 spades? 2.How many different 5-card hands contain exactly 4 cards of the same suit? 3.How many diff. 5-card hands contain cards of exactly one suit?
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Finite Math

09/14/20

Assume that you have a total of 16 people on the board: 4 out-of-state seniors, 5 in-state seniors, 2 out-of-state non-seniors, and 5 in-state non-seniors.
University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists.In how... more
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Finite Math

09/14/20

A is a set with 6 elements. How many subsets of exactly size 2 does A have? How many subsets of at least size 2 does A have? How many subsets of at most size 2 does A have?

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