Select the correct answer from each drop-down menu.
The state swim meet has 27 swimmers competing for first through fourth place in the 100-meter butterfly race.

Complete the statement describing this situation.

This is an example of a ..... There are ....... possible arrangements of first through fourth place winners.

First blank
combination
Permutation

second blank
17550
108
421,200
9,687,600

Answers

Answer 1

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

Answer 2

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

What is permutation?

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

To learn more about permutation here

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Related Questions

An event that is guaranteed to happen has a probability of exactly

Answers

Answer:

100%

Step-by-step explanation:

It is confirmed to happen, or [tex]\frac{100}{100}[/tex]

Answer:

An event that is guaranteed to happen has a probability of exactly 1

Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?

Answers

Answer:

The answer is c : avacodos cost 5.00 each

Step-by-step explanation:

Rectangle is graphed in the coordinate plane. The following are the vertices of the rectang A(- 2, 2), B(6, 2), C(6, 3) and D(- 2, 3) . What is the area of rectangle ABCD?

Answers

Answer:

Adenosine triphosphate

Answer:

The area of the rectangle ABCD will be 8 sq. units.

Step-by-step explanation:

The rectangle shape ABCD has vertices A(- 2,2), B(6,2), C(6,3) and D(- 2,3).  

Presently, length of side AB = [6 - (- 2)] = 8 units.  

{Since the line AB is corresponding to the x-pivot, so the length of the portion AB will be the contrast between the x-directions of the focuses An and B}  

Once more, line BC is corresponding to y-pivot and thus the length BC = (3 - 2) = 1 units.  

Subsequently, the space of the square shape ABCD will be (8 × 1) = 8 sq. units. (Answer)

attachemnt

look at it

Answers

Answer: 7y(3x+2)

Step-by-step explanation:

The greatest-common-factor for the coefficients 21 and 14 is 7

Both 21xy and 14y have the variable y

So the GCF factor is 7y

Hoshi has $50. Emily has $23 more than Hoshi. Karl has $16 less than Emily. How much money do they have all together?

Answers

Answer:

88

Step-by-step explanation:

50 - 23 = 27

27 - 16 = 11

50 + 11 + 27 = 88

A storage trunk is shaped like a rectangular prism. The trunk's volume is 18 cubic feet. The length of the trunk is 6 feet, and the width of the trunk is 2 feet. What is the height of this trunk

Answers

Answer:

1.5

Step-by-step explanation:

The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)

Help please and no links

Answers

Answer:

1) should be B

2) should be C

Step-by-step explanation:

PLEASE PLEASE PLEASE! WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! Really wanna get this over with only 1 more question after this

Answers

Answer: 621.72 in^3
V=pir^2h
3^2=9x22= 198x3.14
621.72

Required volume=352π or 1105.84in³

Answer:

solution given.:

radius of outer rim[R]=5in

radius of inner rim[r]=3in

height[h]=22in

we have

volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)

=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³

Solve for x
A) 2
B) -10
C) 7
D) -3

Answers

X is -10
I hope it will help u
Brainliest pls

Answer:

-10

Step-by-step explanation:

corresponding angles.

hope the image attached helps

thank you

In how many ways can 21 be expressed as the sum of 3 prime numbers?

Answers

Answer:

I think by using a prime factor tree

PLSSSS HELP AND NOOOO LINKS OR SPAMMERS!!!! Write the equation of the line for the graph shown below.

Answers

B.None of these answers are correct(Please tell me if you got it right or wrong and I’m so very sorry if you didn’t)

Sara has 3 choices to get to school: walk, ride a bike, or ride the bus.
She has the same choices to get home after school. If Sara randomly
chooses how she is getting to school and home, what is the probability
that she will walk to school and then ride the bus home?

Answers

Answer:

I think the answer is 1/9

Step-by-step explanation:

I did the equations by using a tree diagram to explain it but

I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last?

Answers

Answer:

12 days

Step-by-step explanation:

3/8=.375

16.5 divided by 1.375 equals to 12. I hope that helps.


b) Is the relation a function? Use the vertical line test to decide.

Answers

Answer:

Step-by-step explanation:

The answer is A U just did that on Khan academy

Answer: A

Step-by-step explanation:

Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?

Answers

The value of h -j is -5.

We have the function, f(x) = x² -4x + 8

Now, vertex

h = x = -b/2a

h = x = -(-4) / (-2)

h = x = -4/2

h= x = -2

Now, according to the graph

j = x= 3

So, h - j

= -2 - 3

= -5

Learn more about Function here:

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A submarine travels 5.5 km due East from its base and then turns and travels due North for 3.4 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.​

Answers

Answer:

6.5km

Step-by-step explanation:

If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.

5.5^2+3.4^=c^2

41.81=c^2

6.466=c

Round it to one decimal point and you get 6.5km.

Answer:

6.5km

Step-by-step explanation:

I think is this I am not really sure

The slope of the line below is 3. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-1,1)
-5
5
-5

Answers

Answer:

The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which the point is given by [tex](x_0,y_0)[/tex] and m is the slope.

The slope of the line below is 3.

This means that [tex]m = 3[/tex]

(-1,1)

This means that [tex]x_0 = -1, y_0 = 1[/tex].

Equation of the line:

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - 1 = m(x - (-1))[/tex]

[tex]y - 1 = m(x + 1)[/tex]

The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]

b1=5,b2=7,h=4
need help plz

Answers

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

A rectangle has side lengths of (3x+6) inches and (2x-4) inches. Write an expression to represent the perimeter of the rectangle. Then find the value of x if the perimeter is 94 inches.

Answers

the answer:
2 (3x+6) + 2 (2x+4)=94
6x+12+4x+8=94
10x+20=94
10x=74
X=74/10
X=37/5

What is the Mean Absolute Deviation of the following data set?
{23, 25, 28, 29, 30}

Answers

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

Which players' hit totals would you use to find the range?​

Answers

Answer:

17. a  18. c   19. d   20. b

Step-by-step explanation:

Hello, for the first question, you just take the person with the largest number and the person with the smallest number. Kenny (5) and Sammy (0).

For question 18, you just add up all the numbers like this:

0+1+3+5+4+1+1+2+1= 18

And then you divide it by the number of people there which is 9:

18/9=2

For question 19, you arrange all the numbers from least to greatest like this:

0,1,1,1,1,2,3,4,5

And then you count on both ends until it meets the middle. 1 is the middle.

For the last question, you just find the number that appears the most, which is one.

PLEASE HELP !!! ONLY AN HOUR LEFT

Answers

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

That question is a bit tricky but I think you that is a hard question

PLEASE HELP AGAIN. IM TIMED

Answers

Answer:

B, 3 8/9

Step-by-step explanation:

It all comes down to equivalent fractions.

2 1/3 as an improper fraction is 7/3.

1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.

With that being said 7 x 3 = 21 resulting in 21/9.

14/9 + 21/9 = 35/9.

35/9 as a mixed fraction is 3 8/9.

What is 0.8 m3 when converted in cm3?

Answers

Answer:

80 cm3

Step-by-step explanation:

100 cm = 1 m

.8m * 100 - 80cm

How can you prove a triangle is an equilateral triangle? (4 points)

a
Use the distance formula to see if at least two sides are congruent.

b
Use the slope formula to see if any sides are perpendicular.

c
Use the distance formula to see if all three sides are congruent.

d
Use the slope formula to see if any sides are parallel.

Answers

Answer:c

Use the distance formula to see if all three sides are congruent.

Step-by-step explanation:

An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)

To prove a triangle is an equilateral triangle by using  the distance formula to see if all three sides are congruent, the correct option is C

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given;

To prove a triangle is an equilateral triangle

Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)

When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.

Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.

Learn more about congruent triangles;

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2. What is the value of x? (y + 2.3) cm K G 7 cm (2.5x) H A. O 60 B. O 72 C.O 30 D.O 24​

Answers

Answer:

ITS B SORRY CAPS

Step-by-step explanation:

Helpppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

x=100 (vertically opposite angle)

For the equation, complete the given ordered pairs.

3x-y=4

{0,_} [1,_} {_,4}


Can someone help me

Answers

Answer:

{0,-4} [1,-1} {8/3,4}

Step-by-step explanation:

3x - y = 4

{0,_} [1,_} {_,4}

For x = 0:

3x - y = 4

0 - y = 4

y = -4

For x = 1

3x - y = 4

3 - 3 - y = 4 - 3

-y = 1

y = -1

For y=4

3x - y = 4

3x -4 = 4

3x = 8

x = 8/3

Solution:

{0,-4} [1,-1} {8/3,4}

Please mark brainliest if this helped!

Please mark brainliest if this helped!

QUESTION 10 of 10: You learn that you can buy a used robot for $25,000. The robot can replace two people doing assembly work that are
paid $19 per hour. About how long would it take for the robot to pay for itself in labor savings?
0000
O a) 640 hours
b) 658 hours
c) 712 hours
d) 755 hours

Answers

Answer:

B. 658 Hours

Step-by-step explanation:

All you do is divide.

$19 for every hour, it's 2 persons so,

$38 for every hour.

so,

25,000/38

= 657.894736842 which is about 658 so,

= 658 Hours

It would take 658 hours for the robot to pay for itself in labor savings

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The robot can replace two people doing assembly work that are paid $19 per hour.

Let us assume it would take x hours for the robot to pay for itself in labor savings

(19 + 19)x = 25000

38x = 25000

x = 657.9

It would take 658 hours for the robot to pay for itself in labor savings

Find out more on equation at: https://brainly.com/question/2972832

Find the volume of the composite solid. Round your answer to the nearest tenth.

Answers

Answer:

Volume = 646.0 cm³

Step-by-step explanation:

The solid is made up of a hemisphere and a cube

Therefore,

Volume of the composite solid = ⅔πr³ + a³

Where,

r = ½(8) = 4 cm

a = 8 cm

Plug in the values

Volume of the composite solid = ⅔*π*4³ + 8³

= 134.04 + 512

= 646.0 cm³ (nearest tenth)

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