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Finite Math Discrete Math Proofs

19d

If the following statement is false, provide a counterexample; if the following statement is true, write a proof: "For all integers a,b, and c if a|bc then a|b or a|c".

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Finite Math Discrete Math

20d

If the following statement is false, provide a counterexample; if the following statement is true, write a proof: "For all integers a,b, and c if a|bc then a|b or a|c".

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Finite Math

10/29/21

What is the probability that the business makes a profit in exactly two of its first three years?

Assume that the business makes a profit with probability 0.5 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year,... more

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Finite Math

10/11/21

involving the flipping of a loaded coin, but assume that Pr[H]=0.3 Also, assume that the coin is flipped 3 times, and the random variable XX is defined to be 4 times

involving the flipping of a loaded coin, but assume that Pr[H]=0.3Pr[H]=0.3. Also, assume that the coin is flipped 3 times, and the random variable XX is defined to be 4 times the number of heads... more

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Finite Math Algebra

10/08/21

Can anyone help me with this question? I would really appreciate it!

Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms... more

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Finite Math

10/07/21

What is the probability that both heads and tails occur?

Assume that the coin is weighted so that a tail is 6 times as likely as a head. The coin is flipped 7 times.

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Finite Math

10/02/21

Need help with a math question

A bag contains 4 black, 2 red, and 6 yellow blocks. A sample of 3 is selected. How many samples are possible in which the blocks are 2 black and 1 red?

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Finite Math

10/01/21

In a box there are 8 red, 7 blue, and 6 white marbles. If 3 marbles are selected at random and the colors are noted, find the probability that all are red given that all are the same color.

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Finite Math Algebra

09/29/21

I desperately need help with this question. Help would be greatly appreciated

Formulate a system of equations for the situation below and solve.Michael Perez deposited a total of $2000 with two savings institutions. Bank A pays interest at the rate of 5%/year, whereas Bank B... more

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Finite Math

09/27/21

In this version, you are to form a 5-digit number from the digits 1, 2, 4, 6, 7, 8, and 9, using each at most once.

How many different 5-digit numbers can be formed? How many of these are less than 50000?

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Finite Math

09/14/21

Assume that the playbook contains 16 passing plays and 9 running plays. The coach randomly selects 9 plays from the playbook.

Assume that the playbook contains 16 passing plays and 9 running plays. The coach randomly selects 9 plays from the playbook.What is the probability that the coach selects at least 3 passing plays... more

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Finite Math

09/14/21

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

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

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Finite Math

09/14/21

Assume that there are 6 different issues of Newsweek magazine, 7 different issues of Sports Illustrated, and 4 different issues of Time, including the December 1st issue, on a rack.

Assume that there are 6 different issues of Newsweek magazine, 7 different issues of Sports Illustrated, and 4 different issues of Time, including the December 1st issue, on a rack. You choose 4 of... more

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Finite Math

09/14/21

involving the assignment of tasks to student union board members. Assume that there are 12 board members: 7 females, and 5 males including Larry. There are 3 tasks to be assigned.

involving the assignment of tasks to student union board members. Assume that there are 12 board members: 7 females, and 5 males including Larry. There are 3 tasks to be assigned. Note that... more

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Finite Math

09/14/21

involving the construction of a number from a set of digits. Assume that 3 digits are selected at random from the set {2,3,6,7,9}{2,3,6,7,9} and are arranged in random order.

involving the construction of a number from a set of digits. Assume that 3 digits are selected at random from the set {2,3,6,7,9}{2,3,6,7,9} and are arranged in random order.What is the probability... more

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Finite Math

09/14/21

Assume that 5 people, including the husband and wife pair, apply for 2 sales positions. People are hired at random.

Assume that 5 people, including the husband and wife pair, apply for 2 sales positions. People are hired at random.(1) What is the probability that both the husband and wife are hired? (2) What is... more

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Finite Math

09/14/21

You select 7 cards randomly from a deck of 52 cards.

You select 7 cards randomly from a deck of 52 cards.What is the probability that all of the cards selected are face cards (i.e. jacks, queens, or kings)?

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Finite Math

09/13/21

Enter the value of the larger of the two numbers in each pair.

Enter the value of the larger of the two numbers in each pair.(1) C(8,5), C(9,4): (2) 6!, C(8,5): (3) C(12,5), C(15,4): (4) 3535, 5!:

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Finite Math

09/13/21

How many ways can the trip be outfitted?

Assume that the camper has 3 jackets, 7 sleeping bags, and 12 different packages of food. An outfit consists of 2 jackets, 2 sleeping bags, and 9 packets of food.How many ways can the trip be... more

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Finite Math

09/01/21

A Coin Flip if a

if a heads is flipped, then the coin is flipped 5 more times and the number of heads flipped is noted; otherwise (i.e., a tails is flipped on the initial flip), then the coin is flipped 3 more... more

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Finite Math

08/31/21

Assume that there are direct flights from New York to Los Ageles,

Assume that there are direct flights from New York to Los Ageles, flights with a stop at Indianapolis, and flights with a stop at Dallas. Each of these types of routes has 2 different flights... more

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Finite Math

08/31/21

How many different product codes contain exactly one Q?

Assume that product codes are formed from the letters W, T, S, V, Y, X, and Q, and consist of 4 not necessarily distinct letters arranged one after the other. For example, WWVQ is a product... more

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Finite Math

08/31/21

How many different codes are possible?

Assume that X={A,B,G}X={A,B,G} and Y={2,7,3,1,4,5}Y={2,7,3,1,4,5}. A code consists of 2 different symbols selected from XX followed by 3 not necessarily different symbols from YY.How many different... more

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Finite Math

05/26/21

The sum of the first five terms in an arithmetic sequence is −40. If 𝑎9=16, find the common difference.

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Finite Math

05/22/21

What is the solution please? with steps

A group of 7 females and 10 males volunteer for a medical study. How many selections of seven volunteers have...a. at least one male? b. at most one female?

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