Represent 35 in many ways, №17886701, 18.06.2022 09:56

Mathematics

Step-by-step answer

P Answered by PhD

35 is an odd number and word form thirty five expanded form 30+5 and standard form 35

Mathematics

3. for each of the following, indicate if it is a problem involving permutations, combinations, or neither, and then answer the question posed. explain your reasoning. a. how many groups of five songs can be chosen from a list of 35 songs? b. how many ways can a person choose three different desserts from a dessert tray of eight desserts? c. how many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players? d. how many ways are there to place seven distinct pieces of art in a row? e.

Step-by-step answer

P Answered by Specialist

Step-by-step explanation:

a. How many groups of five songs can be chosen from a list of 35 songs?

Here combinations because order of songs selected doe snot matter hence

35C5 = 324632

b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?

Here combinations

8C3= 56

c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?

Here order matters so 9P2 = 72

d. How many ways are there to place seven distinct pieces of art in a row?

Here we use permutations because distinct pieces so order matters.

7! ways

e. How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?

Without replacement we have to use combinations

15C4 = 1365

Mathematics

At a competition with 7 runners, medals are awarded for first, second, and third places. each of the 3 medals is different. how many ways are there to award the medals? decide if this is a permutation or a combination, and find the number of ways to award the medals. o a. permutation; number of ways = 210 o b. combination; number of ways = 210 o c. permutation; number of ways = 35 o d. combination; number of ways = 35

Step-by-step answer

P Answered by Specialist

72

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.

To find : How many ways are there to award the medals?

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, $^nP_r=\frac{n!}{(n-r)!}$

Substitute the values,

$^7P_3=\frac{7!}{(7-3)!}$

$^7P_3=\frac{7\times 6\times 5\times 4!}{4!}$

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

Mathematics

3. for each of the following, indicate if it is a problem involving permutations, combinations, or neither, and then answer the question posed. explain your reasoning. a. how many groups of five songs can be chosen from a list of 35 songs? b. how many ways can a person choose three different desserts from a dessert tray of eight desserts? c. how many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players? d. how many ways are there to place seven distinct pieces of art in a row? e.

Step-by-step answer

P Answered by Master

Step-by-step explanation:

a. How many groups of five songs can be chosen from a list of 35 songs?

Here combinations because order of songs selected doe snot matter hence

35C5 = 324632

b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?

Here combinations

8C3= 56

c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?

Here order matters so 9P2 = 72

d. How many ways are there to place seven distinct pieces of art in a row?

Here we use permutations because distinct pieces so order matters.

7! ways

e. How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?

Without replacement we have to use combinations

15C4 = 1365

Mathematics

At a competition with 7 runners, medals are awarded for first, second, and third places. each of the 3 medals is different. how many ways are there to award the medals? decide if this is a permutation or a combination, and find the number of ways to award the medals. o a. permutation; number of ways = 210 o b. combination; number of ways = 210 o c. permutation; number of ways = 35 o d. combination; number of ways = 35

Step-by-step answer

P Answered by Master

72

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.

To find : How many ways are there to award the medals?

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, $^nP_r=\frac{n!}{(n-r)!}$

Substitute the values,

$^7P_3=\frac{7!}{(7-3)!}$

$^7P_3=\frac{7\times 6\times 5\times 4!}{4!}$

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

Business

Time is money in any business environment. To be successful in the business world, you must be able to create concise and easy-to-read messages. As you revise, eliminate flabby expressions, long lead-ins, fillers, redundancies, and empty words. Your audience will appreciate your brevity. Which of the following sentences contain flabby expressions? Check all that apply. In addition to the above, the client is of the opinion that, as a general rule, Comic Sans font is childish. Help yourself to the cookies in the break room. I worked on the MarkMaster

Step-by-step answer

P Answered by PhD

Answer 1: A flabby expression is the one which consists of the expressions that make it difficult or inhibiting for the people o understand the main point in a sentence. It hinders complete understanding of what is being conveyed. Following are such sentenced;

In addition to the above, the client is of the opinion that, as a general rule, Comic Sans font is childish.I worked on the MarkMaster campaign for the period of 35 hours last week.In very few cases will he return text messages.

Answer 2:

Being concise is one of the major tools used to write business emails and messages to save time of the reader and also convey the message.

a) Because every other office is occupied, it’s recommended that we should convert Dr. Blake’s office into a lounge

b) You can assist callers in many ways.

c) The team has finished the accounting assignment. Please review our questions in column D.

d) I would like to inform you that the Johnson report might not be complete by the deadline.

Answer 3:

Redundancy is the presence of words or sentences that are not required or that have been repeated in a sentence for no real reason at all.

In the question above, the word "absolutely" is redundant because it is followed by the term "essential" which very well identifies the absolute nature and importance of the act followed ahead.

Both the words are hinting towards the same meaning which makes it redundant.

Business

Time is money in any business environment. To be successful in the business world, you must be able to create concise and easy-to-read messages. As you revise, eliminate flabby expressions, long lead-ins, fillers, redundancies, and empty words. Your audience will appreciate your brevity. Which of the following sentences contain flabby expressions? Check all that apply. In addition to the above, the client is of the opinion that, as a general rule, Comic Sans font is childish. Help yourself to the cookies in the break room. I worked on the MarkMaster

Step-by-step answer

P Answered by PhD

Answer 1: A flabby expression is the one which consists of the expressions that make it difficult or inhibiting for the people o understand the main point in a sentence. It hinders complete understanding of what is being conveyed. Following are such sentenced;

In addition to the above, the client is of the opinion that, as a general rule, Comic Sans font is childish.I worked on the MarkMaster campaign for the period of 35 hours last week.In very few cases will he return text messages.

Answer 2:

Being concise is one of the major tools used to write business emails and messages to save time of the reader and also convey the message.

a) Because every other office is occupied, it’s recommended that we should convert Dr. Blake’s office into a lounge

b) You can assist callers in many ways.

c) The team has finished the accounting assignment. Please review our questions in column D.

d) I would like to inform you that the Johnson report might not be complete by the deadline.

Answer 3:

Redundancy is the presence of words or sentences that are not required or that have been repeated in a sentence for no real reason at all.

In the question above, the word "absolutely" is redundant because it is followed by the term "essential" which very well identifies the absolute nature and importance of the act followed ahead.

Both the words are hinting towards the same meaning which makes it redundant.

Mathematics

1. patty is making a candle. she has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from. how many ways can patty make a candle? a. 72 b. 96 c. 27 d. 13 2. a secret code must consist of three capital letters followed by a digit. letters cannot be repeated. how many secret codes are possible? a. 140,400 b. 175,760 c. 156,000 d. 358,800 3. ms. brody is choosing a flowerpot. there are 5 ceramic pots, 7 wooden pots, and 10 plastic pots. how many choices for a flowerpot does she have? a. 350 b. 75 c. 22 d. 45 4. abel is renting a movie.

Step-by-step answer

P Answered by Specialist

52

I should really get Brainliest or at least a 'thanks' after all of this ...

[1] Patty can either go with the scent, the shape and the colour. So; 4 + 6 + 3 = 13.

[2] There are 26 letters and 10 numbers. And the letters cannot be repeated, so; 26 × 25 × 24 × 10 = 156000

[3] The pots; 5 + 10 + 7 = 22

[4] The movies, too? Just add them like this; 3 + 4 + 8 = 15

[5] It should be (D); Choosing a sandwich when there are 3 types of bread, 4 types of filling and 2 sizes. This question is similar to the 2nd one.

Hope this helped! :)

Mathematics

There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively. Required: a. How many ways are there to fill up the dormitories? b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men s dorm, B is an all-women s dorm andC is co-ed. How many ways are there to fill thedormitories?

Step-by-step answer

P Answered by Specialist

a

$N = 7.0 *10^{44} \ Ways$

b

$U = 2.85 *10^{26}\ ways$

Step-by-step explanation:

From the question we are told that

The number of students are n = 100

The number of dormitories is k = 3

The capacity of the first dormitory is A = 25

The capacity of the second dormitory is B = 35

The capacity of the third dormitory is c = 40

Generally the number of way to fill the dormitory up is mathematically represented as

$N = \frac{n!}{A! B!C!}$

=> $N = \frac{100!}{25! 35! 40!}$

Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to evaluated the above equation

=> $N = \frac{100!}{25! 35! 40!}$

$N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}$

$N = 7.0 *10^{44} \ Ways$

From the question we are told that there are 50 men and 50 women and

A is all-men's dorm and B is all-women's dorm while C is co-ed

So

When A is filled , the number of men that will be remaining to fill dorm C is 50-25 = 25

While when B is filled the number of women that will be remaining to fill dorm C is 50-35 = 15

Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is mathematically represented as

$U = ^{50}C_{35} * ^{50}C_{25} + 1$

Here C stands for combination hence we will be making use of the combination functionality in our calculators

$U = 2.250829575* ^{12} * 1.264106064 * 10^{14} + 1$

=> $U = 2.85 *10^{26}\ ways$

Mathematics

1. patty is making a candle. she has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from. how many ways can patty make a candle? a. 72 b. 96 c. 27 d. 13 2. a secret code must consist of three capital letters followed by a digit. letters cannot be repeated. how many secret codes are possible? a. 140,400 b. 175,760 c. 156,000 d. 358,800 3. ms. brody is choosing a flowerpot. there are 5 ceramic pots, 7 wooden pots, and 10 plastic pots. how many choices for a flowerpot does she have? a. 350 b. 75 c. 22 d. 45 4. abel is renting a movie.

Step-by-step answer

P Answered by Specialist

52

I should really get Brainliest or at least a 'thanks' after all of this ...

[1] Patty can either go with the scent, the shape and the colour. So; 4 + 6 + 3 = 13.

[2] There are 26 letters and 10 numbers. And the letters cannot be repeated, so; 26 × 25 × 24 × 10 = 156000

[3] The pots; 5 + 10 + 7 = 22

[4] The movies, too? Just add them like this; 3 + 4 + 8 = 15

[5] It should be (D); Choosing a sandwich when there are 3 types of bread, 4 types of filling and 2 sizes. This question is similar to the 2nd one.

Hope this helped! :)

Represent 35 in many ways

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