A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver

Answers

Answer 1

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.


Related Questions

Please need help thank you

Answers

I believe since 10 decimeters = 1 meter, then 3•10=30 which is the length of the blanket. Now we have to divide 30 by 3 to equal 10 which is how many stripes will be on the blanket

Fast Answer - 3x10 and 10

What is the y- intercept of the line * 3y=5x+12

Answers

the y intercept is y= 4

Select the improper fraction that is not equivalent to the whole number 6

18/3
6/1
54/3
54/9

Answers

the one not equivalent to 6 as a whole is 54/3 as that equals 18.

Answer:

54/3=18

Step-by-step explanation:

18/3=6

6/1=6

54/9=6

Find the difference.7/14−3/14= help

Answers

Answer: [tex]\frac{4}{14}[/tex]

Step-by-step explanation:

Let's take the given equation

[tex]\frac{7}{14}-\frac{3}{14}[/tex]

Let's also remember the bottom number (denominator) does not change or go away ever!

So we will subtract the top numbers (numerator) and we will get

[tex]\frac{4}{14}[/tex]

The distance around the outside of an apartment is 0.3 mile. Keira ran 0.1 of the distance during her lunch. How far did she run?

Answers

Answer:

0.1

Step-by-step explanation:

Which equation matches the graph

Answers

Answer:

it is A

Step-by-step explanation:

because there is negative 3 and a positive 9

helppppppppppppppppppppppppppppp

Answers

Your answer is 130 hope I could help!

Can someone help me out with this problem

Answers

Answer:

Step-by-step explanation:

Is my answer choice wrong or right?

Answers

Answer:

It is correct

Step-by-step explanation:

Gr8 job

please help!!! and show work!!

Answers

Answer:

x = 17

Step-by-step explanation:

area = L x W

45 = (x-2)(x-14)

45 = x² - 14x - 2x + 28

simplify:

x² -16x - 17 = 0

(x + 1)(x -17 ) = 0

x = -1    not applicable

x = 17

Proof:

(17-2)(17-14) = 45

15 x 3 = 45

45 = 45

Suppose we want to formulate a 95% confidence interval for the population proportion and we would like our margin of error to be not greater than 0.04. We have no history with this characteristic, so we have no idea as to what the proportion might be. Conservatively, what is the minimum sample size we should anticipate using? (NOTE: Round up to the nearest whole number)

Answers

Answer:

The minimum sample size we should anticipate using is 601.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

We have no history with this characteristic, so we have no idea as to what the proportion might be.

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the minimum sample size we should anticipate using?

This is n for which M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, 601

The minimum sample size we should anticipate using is 601.

A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?

Answers

Answer:

240$$

Step-by-step explanation:

find the area

A=LW

A=8x10

A=80

80x3=240

What is the mean for this list of numbers? 19, 22, 24, 45

Answers

Answer:

27.5

Step-by-step explanation:

To find the mean you basically just add all of the numbers then divide by how many there are.

So, for this problem, 19+22+24+45=110

110/4=27.5

Hope this helped!!

which of the following is not a function? ANSWER FAST PLEASE!!!

Answers

Answer:

D. cannot be an f(x)=y function.

Step-by-step explanation:

An f(x) = y function has to have a specific property - there can be only one value for the same x - and the value has to be the same every time.

D. gives us all xs equal to 9, but with different ys - hence it cannot be an f(x) = y function (it could be an f(y) = x function though, but I assume that's not "allowed" under the problem statement).

B has two equal xs, but both times y=0, so it doesn't make it an invalid function.

here's my face I just dyed my hair-​

Answers

Answer:

that looks nice

Step-by-step explanation:

the hair looks cool

Identify the vertex of the graph. Tell whether it is a minimum or a maximum.

Answers

Answer:

Vertex = (-1, 2)

Maximum

Step-by-step explanation:

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

PLEASEEEEE HELPP

Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?

Answers

9514 1404 393

Answer:

  $7

Step-by-step explanation:

Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...

  14r +12g = 206

  g = 2r -5

Using the second equation to substitute for g in the first equation, we have ...

  14r +12(2r -5) = 206

  38r -60 = 206

  38r = 266

  r = 266/38 = 7

The cost of one rose bush is $7.

7(5+2c)+3c I need help

Answers

Answer:

35 + 17c I hope this helps!! Plz give brainliest!!!

Step-by-step explanation:

7(5+2c)+3c

35+14c+3c

35+17c

Helppppppppppppppppp

Answers

The answer to the question is D.

The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...

Answers

Answer:

x =16, y = 151.2

Step-by-step explanation:

Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,

[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]

Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,

[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]

What expression is equal to 5,007.992?

Answers

This is the answerrrrreerrrrre

I need help! Please show all the steps and work! :)

Answers

I don’t know tskskssososksosososkxx

1. a) What is the area of this square with sides of 5x4y²?

Answers

Area=?
A=a^2
A=(5x4y^2)^2
A=25x^2•16y^4

Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D move 6 units to the left and land on -9

Step-by-step explanation:

The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps

Answer:

D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

t

t

f

t

f

Step-by-step explanation:

i hope po makatulong

20a. F

20b. F

20c. T

20d. T

What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)

Answers

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

Good morning help me out thank u

Answers

Answer:

25

Step-by-step explanation:

Using the Pythagorean theorem, we need to calculate

15^2+20^2=x^2, which simplifies to:

225+400=x^2,

625=x^2

and since 25^2 equals 625, the answer is AC=25  

PLEASE HELP DUE IN 3 minutes

Answers

Answer: 10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?​

Answers

Answer:

Raeyln bought 60 stickers, Beth bought 15 stickers

Step-by-step explanation:

simple math l.mao

Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT

Answers

it should be C, im not 100% sure though.

Answer:

the answer is c because it is over xaxis

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