Four students are selected for a relay team. In how many ways can
they line up for the race?

Answers

Answer 1

Answer:

24 possible ways

Step-by-step explanation:

When a member is chosen to occupy a leg of the 4-member relay, the same member can not be chosen again, because one member cannot occupy more than one leg.

As one person is chosen to run one leg, the options decrease by one. And like the first leg, one person cannot run more than one leg.

This cycle will repeat until the last person occupies the remaining empty leg.

[tex]4! \\= 4*3*2*1\\=12 * 2 * 1\\=24*1\\=24[/tex]


Related Questions

44%
Bill needs to build a rectangular sheep pen.
The pen must have a perimeter of 24 m.
Every half metres of fencing cost him £1.20.
a) Work out the cost of fencing used to make
the sheep pen.
The length of the sheep pen is three times its width.
b) Find the length and width of the sheep pen.
Length
metres
Width
metres

Answers

Answer:

£57.60

9m

3m

Step-by-step explanation:

cost of fencing = perimeter of the fence x cost of half meter x 2

1.2 x 2 x 24 = £57.60

Perimeter = 2 x ( length + width)

let x = width

length = 3x

2 x (3x + x) = 24

divide both sides of the equation by 2

4x = 12

x = 3

Length = 3 x 3 = 9m

What pre-reading strategy would help you determine which items or information might be important to learn?

Answers

Answer:

Discussion.  

Pictures.

The title.

Story telling.

Short conversations.

Step-by-step explanation:

How to translate f(x)(blue) to g(x) red?

Answers

Answer:

g(x) = [tex]\sqrt{x+2}[/tex] - 3  

Step-by-step explanation:

g(x) = [tex]\sqrt{x+2}[/tex] - 3

Select all of the expressions that are equivalent to 18x+6.
4 points
10 (2x + 1) - 2x - 4
6 (3x + 1)
0 Option 1
D Option 2
10 (2x + 1) + 2x - 4
(1 + 3x) 6
Option 3
Option 4
2 (8x + 3) + 2x

Answers

Answer: Option 2

Step-by-step explanation:

6(¹⁸ˣ⁄₆+ ⁶⁄₆)

Simplified: 6(3x+1)

anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles per hour?

Answers

Speed= distance/ time

Speed= (2/3)/(3/4) = 0.88 miles/hr

Fracción equivalente 1/10

Answers

2/20 is equivalent to 1/10 because 2/2 is equal to 1 and 20/2 is equal to 10.

3a. 16 +25= Your answer ​

Answers

Answer:

16+25=41

hope it helps.

Answer:

41

Step-by-step explanation:

I need help this is due in 14 min

Answers

Answer: 3. A 8 + (-1) - 0 = 7

B start at 8 go back 1 then stay there.

Step-by-step explanation:

1 = with base 7

Help help help

Answers

Answer:

log base of 8 of 1

Step-by-step explanation:

i did this

Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.

A) Are her dice rolls and spinning outcomes independent or dependent? Explain why.

B) What is the probability of her rolling a 4 and spinning an 8? Show all work.

C) What is the probability of her rolling an even number and spinning a number less than 3? SHOW ALL WORK..

Answers

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) [tex]\frac{1}{48}[/tex] probability of her rolling a 4 and spinning an 8.

c) [tex]\frac{1}{8}[/tex] probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

[tex]P(A) = \frac{1}{6}[/tex]

Probability of spinning an 8:

One side out of 8 on the spinner. So

[tex]P(B) = \frac{1}{8}[/tex]

Probability of rolling a 4 and spinning an 8:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}[/tex]

[tex]\frac{1}{48}[/tex] probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

[tex]P(A) = \frac{3}{6} = \frac{1}{2}[/tex]

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

[tex]P(B) = \frac{2}{8} = \frac{1}{4}[/tex]

Probability of rolling an even number and spinning a number less than 3:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}[/tex]

[tex]\frac{1}{8}[/tex] probability of her rolling an even number and spinning a number less than 3.

You select a marble from two different bags. You have a 30% chance of choosing a blue marble from the first bag and a 70% chance of choosing a blue marble from the second bag. Design and use a simulation to estimate the probability that you choose a blue marble from both bags.

Answers

Answer:

50 percent is the average

PLEASE HELP ILL GIVE BRAINLIEST !!! 100 POINTS !! NO FAKE ANSWERS !

Answers

Answer:

qweqw

Step-by-step explanation:

qeqe

Teresa Alice drove 383.5 miles in 6.5 hours. What is her average rate of speed?​

Answers

Answer:

59

Step-by-step explanation:

383.5/6.5=59

4 The data below lists the number of pages in each book Harry read
last summer.
225, 157, 144, 312,
281, 276, 166
What is the median of the data?
?
A
168
223
B
С
225
312
D

Answers

Answer: 225 is the answer

Step-by-step explanation:

help me and say how you did it plsss

Answers

Answer: D

Step-by-step explanation:

When the arrow in the equation is pointed to the left, the arrow on the line must go left. And if there is a line underneath the arrow in the equation than the circle is closed.

Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="​

Answers

Answer:

Area= 32 (formula is: length x width)

Perimeter= 8 + 4 + 8 + 4= 24

Step-by-step explanation:

Answer:

A=L·W=32units²

P=24units

Step-by-step explanation:

[tex]A=L*W\\=8*4=32\\area:32units^{2} \\\\P=2(L)+2(W)orL+W+L+W\\=2(8)+2(4)\\=16+8=24\\perimeter:24units[/tex]


[tex]s = 2\pi(r + h)[/tex]
find r ​

Answers


r= 4/π-h
Hope this helps

please help

The graphs below have the same shape. What is the equation of the blue graph?
A. g(x) = (x - 2)2 + 1
B. g(x),= (x - 2)2 -1
C. g(x) = (x + 2)2 - 1
D. g(x) = (x + 2)2 + 1​

Answers

Answer:

A

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (2,1)(2,1)

Focus: (2,54)(2,54)

Axis of Symmetry: x=2

Hope it helped :)

Need help please help I got time limit

Answers

Answer:

wdym

Step-by-step explanation:

what is 358 divided by 6

Answers

Answer:

59.6

Step-by-step explanation:

:)

Decimal form-59.6

Mixed fraction form-59 2/3

Exact form-179/3

Answer now boi/gurl, Tahke yuo

Answers

Answer:

Seems like it's B

Step-by-step explanation:

The rest seem wrong.

---↓

A- Jon paid $235.50 for yard work. He paid $25.00 to have some

bushes trimmed and $35.50 each time he had his grass mowed. What is

x, the number of times Jon had his yard mowed? | The equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong.

·

C- Jon paid $235.50 for yard work. He paid $35.50 to have some

bushes trimmed and $25.00 each time he had his grass mowed. What is

x, the number of bushes Jon had trimmed? | Once again, the equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong too.

·

D- Jon and his neighbor paid $235.50 for yard work. Jon paid $35.50 to have some bushes trimmed and his neighbor had some bushes trimmed for  $25.00 each. What is x, the amount of money Jon paid to have his bushes trimmed? | It says that Jon paid $35 to have his bushes trimmed in the sentence.

~~~~~~~~~~~~~~~~~~~~

B- Jon paid $235.50 for yard work. He paid $35.50 to have some

bushes trimmed and $25.00 each time he had his grass mowed. What is

x, the number of times Jon had his yard mowed?

The equation is 25x + 35.50 = 235.50 || We would put the x after 25 because it's asking "What is  x, the number of times Jon had his yard mowed?" This seems correct.

Therefore, the answer would be B

Isabella took a taxi from her house to the airport. The taxi company charged a pick- up fee of $4.70 plus $2.25 per mile. The total fare was $58.70, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.​

Answers

Answer:

x=(58.7-4.7)÷2.25

(x=24)

Step-by-step explanation:

4 = x/8 please solve thanks

Answers

Answer:

x=32

Step-by-step explanation:

According to the rule of 72, in about how many years will $80 be worth $40 if
the rate of inflation is 3%?
O A. 48 years
B. 6 years
C. 24 years
Ο Ο
D. 12 years

Answers

Answer:

24 Years

Step-by-step explanation:

Rule of 72 is an approximation that you can use to estimate the time it will take for something to double in value at a compound rate of interest

use the following equation

72/(i*100)

we have

72/(.03*100)

72/3=24

How do you do this question?

Answers

Answer:

the answer is 4 of it will help you

Question 5 of 10
Use the function below to find F(-4).
F(x) = 2x
O A. -16
B. -8
C.
1CO
1
O D.

Answers

Answer:

B. -8

Step-by-step explanation:

F(x) = 2x

F(-4) = 2(-4) = -8

Mieko said that the difference between the longest rose and the shortest rose is 1 inch. Is she correct?

Use the drop-down menus to show and explain your answer.

Answers

Answer:

Mieko is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

The length difference

Lengths with dot(s) means, there is at least 1 rose flower of that length.

So, from the attachment, we have:

[tex]Longest = 14.0[/tex]

[tex]Shortest = 13.0[/tex]

The difference (d) is:

[tex]d = Longest - Shortest[/tex]

This gives:

[tex]d = 14.0 - 13.0[/tex]

[tex]d = 1\ in[/tex]

Hence, Mieko is correct

Sheila is cutting a sector out of a circle with area 42 cm2. She wants the sector to have a central angle to measure between 25° and 35°, 5π36 radians and 7π36 radians respectively. Which of the following are possible areas for the sector? Select the two correct answers
2.5 cm2

3.8 cm2

3.5 cm2

2.7 cm2

4.6 cm2

Answers

irs 2.7jsjsjsjjsjssjjw I have no idea what is I to on to with

What is the best estimate of the correlation coefficient for the data set?

Answers

Answer:

it's 0.5

Step-by-step explanation:

The best estimate of the correlation coefficient for the data set is 0.5.

So, option c is the correct answer.

What is the correlation coefficient and how to interpret it?

The correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, and other data starts to decrease in the opposite direction.

When the correlation coefficient comes out below 0, values are negatively correlated.

If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.

When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.

If the correlation coefficient comes out as 1, then the values grow exactly similarly, in the same direction.

The best estimate of the correlation coefficient for the data set is 0.5.

Learn more about correlation ;

https://brainly.com/question/6563788

#SPJ2

12. The ratios of the side lengths of a triangle are 7:9:12. The perimeter is 56. What are the lengths of the sides? ​

Answers

Answer:

7+9+12 = 28

doubling each side makes them 14 + 18 + 24 which equals 56

Step-by-step explanation:

Step-by-step explanation:

here's your solution

==> ratio of sides of traingle are given = 7:9:12

==> perimeter of traingle = 56

==> let the ratio be X

==> now , 7x + 9x + 12x = 56

==> 28x = 56

==> x = 56/28

==> x = 2

... length of sides = 7x = 14

.....9x = 18

12x = 24

. length of. sides = 14 ,18 ,.24

[tex]hope \: it \: helps[/tex]

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