find in how many ways can two admirals, three generals and 4 lieutenants can be seated in a row of nine seats if the admirals must sit at each end?

Answers

Answer 1

Answer:

They can be seated in 10,080 ways.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

In this question:

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). So

[tex]2A_{7} = 2*7! = 10080[/tex]

They can be seated in 10,080 ways.

Answer 2

The number of ways they can be seated is 10,080 ways.

Permutations and combination

The number of possible ways fof arranging n elements is given as:

P = n!

According to the question, there are 2 admirals! 3 generals and 4 lieutenant.

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). Hence the required number of combination will be given as:

Number of ways = 2*7!

Number of ways = = 100802

Hence the number of ways they can be seated is 10,080 ways.

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Related Questions

Given that MTW = CAD, which segments are corresponding parts of the congruent triangles?

Answers

Answer: MW = CD

Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.

The following segments are corresponding parts of the congruent triangles.

segment MT ≅ segment CA

segment TW ≅ segment AD

segment MW ≅ segment CD

What are congruent triangles?

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.

Given that

Triangle MTW = Triangle CAD

If two triangles are congruent then the corresponding sides and corresponding angles are congruent.

segment MT ≅ segment CA

{corresponding parts of the congruent triangles}

segment TW ≅ segment AD

{corresponding parts of the congruent triangles}

segment MW ≅ segment CD

{corresponding parts of the congruent triangles}

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The chart below shows the highest quiz score Cynthia received in four of her classes. In which class did she have the highest score?!

Answers

Answer:

English.

Step-by-step explanation:

English: 13/14 = 93%-94% (0.928...) Rounding up.

Science: 93%

Math: 92%-93%

History: 93%

What's the area of the square?​

Answers

Your answer is D. 25.25

Answer: 18

Step-by-step explanation:

you just times the 4 1/2 4 times

Which of the following is a line in the drawing?

Answers

Answer:

JN

Step-by-step explanation:

It is the only segment that does not have a bend.

solve the following equation n-31/105>1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}>1}[/tex]

[tex]\large\textsf{First you have to SIMPLIFY EACH SIDES of the INEQUALITY}[/tex]

[tex]\mathsf{n + (-\dfrac{31}{105})>1}[/tex]

[tex]\large\textsf{Second ADD }\mathsf{\dfrac{31}{105}}\large\textsf{ to BOTH of your SIDES}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}+\dfrac{31}{105}> 1 +\dfrac{31}{105}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{-\dfrac{31}{105}+\dfrac{31}{105}}\large\textsf{ because that gives the value of 0}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{1+\dfrac{31}{105}}\large\textsf{ because it helps what is being COMPARED to the n value}[/tex]

[tex]\large\textsf{Simplify above (}\mathsf{1+\dfrac{31}{105}}\large\textsf{) and you should have your result to this question}[/tex]

[tex]\mathsf{1+\dfrac{31}{105}=\bf \dfrac{136}{105}}[/tex]

[tex]\boxed{\mathsf{Answer: \bf n> \dfrac{136}{105\ }\boxed{\large\textsf{ it is an \bf O P E N E D circle shaded to the right}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write an inequality comparing 3/4 and 2/4.

Answers

Answer:

3/4 > 2/4

Step-by-step explanation:

3/4 = 0.75

2/4 = 0.5

Therefore, 3/4 > 2/4

Please someone help me

Answers

Answer:

6,9 and 3 times respectively

6,9 3 times trust me

Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as

Answers

When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.

How to calculate the volume?

Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.

The volume will be:

= Length × Width × Height

= 11cm × 8cm × 4cm

= 352cm³

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Complete question

Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume

A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day. To investigate whether the percent would be different for high school students, 600 high school students were randomly selected. When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day. Do the data provide convincing statistical evidence that the proportion of all high school students who would respond that they were having a good day is different from 0.41 ?
A) No, because the p value is less than any reasonable significance level
B) No, because the pvalue is greater than any reasonable significance level
C) Yes, because the p-value is less than any reasonable significance level
D) Yes, because the pvalue is greater than any reasonable significance level
E) Yes, because the expected value of the number of students who will report having a good day is 246, not 245.

Answers

Answer:

B) No, because the p-value is greater than any reasonable significance level

Step-by-step explanation:

H-null: p = 0.41

H-alt: p =/= 0.41

1 proportion Z test

On a calculator: stat + tests + 5

   p: .41

   x: 245

   n: 600

   prop: =/= p

This gives a p-value = .934

(standard significance level is .05, so this p-value is much larger)

fail to reject H-null

If the p-value is much larger than 0.41 then the null hypothesis is rejected. Then the correct option is B.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day.

To investigate whether the percentage would be different for high school students, 600 high school students were randomly selected.

When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day.

Null hypotheses

p = 0.41

Alternative hypotheses

p ≠ 0.41

The p-value will be given as

p-value = 0.934

The p-value is much larger than p.

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Hurricane Irma knocked a tree down and destroyed a 45 degree section of your
circular fence that has a radius of 22 feet. If you want to replace the fence, how
long would you need the replacement section to be?h

Answers

The correct answer is 17.27 feet

If g(x) = 4x - 9. solve g[g(x)] = g(x) for x.​

Answers

Answer:

f ( x + 4 /9 )  =  4 x  −  65/ 9

Step-by-step explanation:

the distance around a square room measures 101 feet 7 inches. Estimate the length of each side of the room​

Answers

Answer:

304.75 inches

Step-by-step explanation:

Total distance = 101 feet 7 inches

Recall :

1 Feet = 12 inches

Total distance in inches = (101 * 12) + 7 = 1219 inches

Perimeter of square = 1219

Sides of a square are always equal

Number of sides = 4

Hence, length of each side = 1219 inches / 4 = 304.75 inches

HELP PLSSSSSSSS I'M LOST PLSSSSSSSSSSSSSSSSSS

Answers

Answer:

1. 1/4 or 25/100, .25 and 25%

2. 1/10 or 1/100, .10 and 10%

Step-by-step explanation:

25 cubes out of 100 is 25/100

Simplify to 1/4

if its 25 cubes out of 100 its gonna fill up 25% or .25 of the whole thing

10 cubes out of 100 is 10/100

then simplify to 1/10

other two are obvious lol

PLSS HELP
A given line has the equation 2 x + 12 y = -1.
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the
point (0, 9)?
Oy= - 6x + 9
=-*x+9
Oy
Ov=hx+9
O y=6x +9
Save and Exit
Next
Submit

Answers

Answer:

B

Step-by-step explanation:

mrk me brainliest plz

The equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation of a straight line as -

2x + 12y = - 1

Assume that the equation of the straight line in slope - intercept form as

y = mx + c

Now, the given straight line is perpendicular to the given line. So, we can write the slope as -

{m} = -1/(-1/6)

{m} = 6

For the {y} intercept, we can write -

{c} = 9

So, we can write the equation of the straight line in slope - intercept form that is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9

Therefore, the equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

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what are two fractions that equal to 4/6​

Answers

Answer: 2/3, 8/12

Step-by-step explanation:

Answer:

2/3 and 8/12 (brainlest plssss)

Step-by-step explanation:

Looking out from a balcony, the angle of elevation to the top of the next building is
approximately 22 degrees. The angle of depression to the bottom of the building is
approximately 29 degrees. If the building is 200 feet away, how tall is it?

Answers

Answer:

191.67 feets

Step-by-step explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets

how many times does 6 go into 137

Answers

Answer: 22 times

Step-by-step explanation: divide 137 by 6

22.833333333

137 divided by 6

Write an expression with 5 terms where one of the terms is a constant of 3

Answers

Answer:

Since the term "3" contains no variables, "3" IS a constant term. In the expression 2x - 5 the constant term is -5.

PLEASE PLEASE PLEASE HELP ME

Answers

Answer:

276 .........................................

Graph the linear equation q(x)=-3x+1

Answers

The linear function q(x) = -3x + 1 is graphed and attached

How to graph the linear function

The graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows

For x = -20,  q(x) = -3 * -20 + 1 = 61

For x = -10,  q(x) = -3 * -10 + 1 = 31

For x = 0,  q(x) = -3 * 0 + 1 = 1

For x = 10,  q(x) = -3 * 10 + 1 = -29

For x = 20,  q(x) = -3 * 20 + 1 = -59

Table of values

x     y

-20  61

-10    31

0      1

10     -29

20    -59

These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line

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a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:

Answers

Answer:

7/8

Step-by-step explanation:

Step 1: Count the total number of letters in the word FOOTBALL

There are 8 letters in the word FOOTBALL.

Step 2: Count the number of letters that are not L

There are 7 letters that are not L.

Step 3: Calculate the probability

The probability that the letter chosen is not an L is 7/8.

whats 5x5? Maybe will mark brainiest

Answers

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Ginnys team scored 22 points during the first half of a basketball game.Her team scored 39 points during the second half of the game. Ginnys team beat the other team by 8 points. Which expression could be used to find the other teams score

Answers

Her team scored a total of 22+39 = 61 points. This is 8 points higher than the other team, so the other team scored 61-8 = 53 points.

As for which expression your teacher wants as the final answer, it will depend on how simplified you want it to be. You could have the following possible answers:

22+39-861-8

Other expressions may be possible as well.

Answer:

The answer depends on whether your teacher wants an algebraic expression or an arithmetic expression.

Algebraic might be:

s = g - 8

Arithmetic:

39 + 22 - 8

Step-by-step explanation:

s (score) is the total number of points Ginny's team scored (g) minus 8 because Ginny's team scored 8 more than the other team.

the loving lemon company sells a 4-gallon jug of lemonade for $24. The sweet and sour company sells an eight pack of 1-quart bottles of lemonade for $16.00. Witch company has a higher unit price please explain your answers

Answers

Answer:

The Sweet and Sour company

Step-by-step explanation:

Convert both types of lemonades into gallons and divide by the price.

For the loving lemon company you divide 24 by 4 and get a unit price of $6 per gallon

For the sweet and sour company change the 8 quarts into 2 gallons and divide 16 by 2, which gets you a unit price of $8 per gallon

The measure of angle X is three times as large as the complement of the angle. Which equation can be used to find the measure of angle X?

A
(x+3)+x=90(x+3)+x=90
B
3x+x=1803x+x=180
C
(x+3)+x=180(x+3)+x=180
D
3x+x=903x+x=

Answers

Answer:

Step-by-step explanation: 55

During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.

70 pars or better

60 pars or better

65 pars or better

53 pars or better

Answers

Dirk will make 70 pars or better.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.

Out of 90 holes, Dirk made par or better on 42 holes.

At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.

Then, Out of 150 holes, Dirk will make par or better on -

(42/90 x 150) holes

(42/90 x 150)

70

Therefore, Dirk will make 70 pars or better.

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Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]
Enter

Answers

Given:

[tex]A=15^\circ, C=120^\circ,b=3[/tex].

To find:

The length of side c.

Solution:

According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]15^\circ+m\angle B+120^\circ=180^\circ[/tex]

[tex]m\angle B+135^\circ=180^\circ[/tex]

[tex]m\angle B=180^\circ-135^\circ[/tex]

[tex]m\angle B=45^\circ[/tex]

According to the Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}[/tex]

[tex]\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}[/tex]

[tex]3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c[/tex]

On further simplification, we get

[tex]\dfrac{3\sqrt{6}}{2}=c[/tex]

[tex]3.674235=c[/tex]

[tex]c\approx 3.7[/tex]

Therefore, the length of side c is about 3.7 units.

In November, the Sport Shop sold
74 pairs of snow skis and 3 pairs of water
skis. Each month the shop sold 11 more
pairs of water skis and 6 fewer pairs of
snow skis than the previous month,
When was the first month the shop sold
more water skis than snow skis?

Answers

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

The perimeter of a square is 28 feet what is its area in square feet

Answers

The answer is 49 ft^2.

squares have equal sides, so 28 divided by 4 equals 7, and then base times height, which are both 7. So the area will be 7 x 7= 49 ft^2.

Answer:

49 feet squared

Step-by-step explanation:

Divide the perimeter by the the number of sides a square has to find the length of each side, then find the area by multiplying two of the side lengths

28÷4 = 7

7×7=49

Geometry The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.

Answers

Answer:

shaded area = 2x² + 6x + 17

If these are squares, what is the "x + 3"?

Step-by-step explanation:

shaded area = (x + 4)² - (x - 1)² = x² + 8x + 16 + x² - 2x + 1 = 2x² + 6x + 17

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The bet way to make chili i with a long, low immer to give the flavor time to deepen and blend. After roating the pepper and browning the meat, put all the ingredient into a heavy pot and cook on medium-low heat for 3 hour. What type of evidence i ued to upport the claim that "The bet way to make chili i with a long, low immer to give the flavor time to deepen and blend"? How do the meanings of the Gertrude Stein quote and/or Radiohead song There, There, which connect to the title, apply to the lives and challenges of the characters so far? Complete with the quantity you would like.1. un__________de zanahorias congeladas2. un________de mayonesa y un de mostaza3. una__________de agua mineral4. un_______de sardinas y un de atn5. un_________de espaguetis6. seis_________de jamn PLEASE HELPRead the passage from The Phantom Tollbooth."Oh no," said Milo seriously. "In my family we all start on the ground and grow up, and we never know how far until we actually get there.""What a silly system." The boy laughed. "Then your head keeps changing its height and you always see things in a different way? Why, when you're fifteen things won't look at all the way they did when you were ten, and at twenty everything will change again."How does Alec believe that "growing down" instead of "growing up" affects a person's perspective?It helps a person to choose his or her perspective.It helps a person keep his or her perspective the same.It makes a person keep changing his or her perspective.It makes a person confused about his or her perspective. Debtors are interested in the number of times interest charges are earned because they want toa. know what rate of interest the corporation is payingb. have adequate protection against a potential drop in earnings jeopardizing their interest paymentsc. be sure their debt is backed by collaterald. know the tax effect of lending to a corporation ps. What type of bond occurs between the nitrogenous bases? que es la deprecion tropical If (3, 7) and (7, 3) are the endpoints of the segment, find the equation of the perpendicular bisector of . What is sec 0 when tan 0 = V3? . (1, 0) sec 0 = [?] ice Manager uses a Periodic Review Inventory System: they check the inventory in the Office Supply Closet once every 10 days, placing an order with their supplier depending on the inventory level in the closet. Once the order is placed, it takes 3 days to receive the order. The average demand for file folders is 70 per day. This week, the operator has counted 240 file folders in the closet. What is the Minimum Restocking Level (restocking policy) needed to cover expected demand over time without stocking out? For an entire species to survive, it must allow for new generations to maintain the population. This is the challenge of ___________. In genetic engineering, the transfer of hereditary information from one species to another results in the formation of What is a benefit of a multi-party system in Blockchain? Describe the circumstances leading to the outbreak of revolutionary protest in France. Note Your answer must expand the following points: - Social Inequality/Cause. - Economic Cause - Political Cause - Immediate Cause - Intellectual Cause Help me please!!!Graded AssignmentU.S. History Research ProjectTotal score: ____ of 300 points(Score for Question 1: ___ of 50 points)Write a process paper that explains your efforts during the project. Your paper should be between 300500 words.This assignment will be due at the end of Lesson 15.(Score for Question 2: ___ of 50 points)Submit your full annotated bibliography according to your teachers instructions.This assignment will be due at the end of Lesson 17.(Score for Question 3: ___ of 200 points)Submit your research project according to your teachers instructions.This assignment will be due at the end of Lesson 17. Read the sentences from a story.Everyone at the awards banquet was thinking the same thing. The award for Most Valuable Player couldn't possibly go to anyone but Jesse Holcomb. He was most deserving.Which type of narration is used to express perspective?first-person limitedthird-person objectivefirst-person objectivethird-person omniscient Hi can you help me please , thanks in advance Write a letter from Charles Dickens discussing the problems in society and what he wants his readers to learn from his novels solve -2 ( x+2)=-12 help me plsssssssssssssssss Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals. Given that AB is a line segment and the angle y = 67, work out the value of the angle marked x