There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any door but leave using another door? Use permutation formula (P(n,r)) to solve.

Answers

Answer 1

Answer:

90 is the answer

Step-by-step explanation:

P(10,2) = [tex]\frac{10!}{(10-2)!}[/tex] = [tex]\frac{10!}{8!}[/tex] = [tex]\frac{10x9x8!}{8!}[/tex]

10x9

=90

Answer 2

The number of ways should be 90.

Calculation of no of ways:

Since There are 10 doors to a coliseum.

So, here we used the permutation

[tex]= \frac{10!}{(10!-2!)}\\\\ = \frac{10!}{8!} \\\\= \frac{10\times 9\times 8!}{8!} \\\\= 10\times 9[/tex]

= 90

Learn more about permutation here: https://brainly.com/question/14767366?referrer=searchResults


Related Questions

PLEASE HELP IM DESPRATE AND I CANT GET IT

Answers

Answer:

1

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

2^5/4 = 2^5/2^a = 2^b = c

A=____ B=____ C=___

(EDIT) The answer is A= 2 B= 3, and C = 8

Answers

Answer:

a=2, b=3, c=8

Step-by-step explanation:

4=2^2

5-2=3

2^3=2*2*2=8

Which of the following functions is an example of an exponential function?
х
0
1
N
f(x)
2
4
6
8
g(x)
1
1
2
4
8
f(x) only
g(x) only
Both f(x) and g(x)
Neither f(x) nor g(x)

Answers

Answer:

g(x) only

Step-by-step explanation:

g(x) only is an exponential function

What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in

Answers

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers

Answers

Answer:

Domain = x > 2 , Range = {R}

Step-by-step explanation:

The given function to us is ,

[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .

3x = -6у + 3
2y = -x+1

Answers

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

SELECT ALL THAT APPLY!!!///// answer ASAP pls

Answers

Answer: Its the first and third one.

Step-by-step explanation: Lol nope

About how many more website hits were there on Saturday than on Friday?

Answers

Answer:

1,000 hits

Step-by-step explanation:

Saturday: 2,000 hits

Friday: 1,000 hits

2,000 - 1,000 = 1,000

Answer: 1,000 hits

Step-by-step explanation:

I just took the test, it's right.

help me plz 10 points

Answers

Answer:

580 cm

Step-by-step explanation:

To find the surface area you just need to find the area of every side of the box and add them together.

SO- the equation for this would be

SA (Surface Area) = 2(20 x 10) + 2(20 x 3) + 2(10 x 3)

SA = 2(200) + 2(60) + 2(30)

SA = 400 + 120 + 60

SA = 520 + 60

SA = 580

Please Help! Solve the equation for x.
1/3x-8= -12

A. x= -12

B. x= -6

C. x= 4

D x= 6

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

What are the odds that the spinner lands on red or the number 4?
4
4
2
33

Answers

Answer:

5 to 3

Step-by-step explanation:

The desired outcomes are 4 or red.

Here are all the possible outcomes:

1 red

1 red

1 red

2 green

3 blue

3 blue

4 yellow

4 yellow

The desired outcomes are in boldface. There are 5 desired outcomes.

There are 3 outcomes that are not desired.

odds of 4 or red = 5 to 3

Answer:

5/8

Step-by-step explanation:

The mass of a diamond is 1.76 g. The volume is 0.5 cm^3. What is the density of the diamond?

Answers

Answer:

[tex]\huge\boxed{Density = 3.52\ g/cm\³}[/tex]

Step-by-step explanation:

Given:

Mass = m = 1.76 g

Volume = v = 0.5 cm²

Required:

Density = ρ = ?

Formula:

ρ = m / v

Solution:

ρ = 1.76 / 0.5

ρ = 3.52 g/cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Sale
50% OFF!
What is the sale price of a gold necklace originally priced at $40?

Answers

Answer:

$20

Step-by-step explanation:

50 percent means half off so it would be $20

Please help me!
[One Step Inequalities]

Answers

12 > x+6
Subtract 6 from both sides.
Therefore, 6 > x and x < 6.

Answer:

x<6

Step-by-step explanation:

write a quadratic equation with a double root of -5

Answers

Answer:

x^2 =5

Step-by-step explanation:

Answer:

x² + 10x + 25 = 0

Step-by-step explanation:

Given that x = - 5 is a root then (x + 5) is a factor

Since it is a double root then (x + 5)² so equation is

(x + 5)² = 0 ← expand factor using FOIL

x² + 10x + 25 = 0

Solve the simultaneous equations
3x + 2y = 14
2x + 7y = 15
X =?
y =?

Answers

3x + 2y = 14 --> equation (1)

2x + 7y = 15 ---> equation (2)


multiply equation (1) by 7
and multiply equation (2) by -2

21x + 14y = 98 equation (1)

-4x -14y = -30 equation (2)


21x -4x = 98 -30

17x = 68

x = 4

not by substitution in any equation by x = 4

3x + 2y = 14

3(4) + 2y = 14

12 + 2y = 14

2y = 14-12

2y = 2

y = 1

so x = 4
and y = 1







Hey, can someone help me on this problem?

Answers

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

I need help with this math question.

Answers

You can see what I did here

Type the statement or reason the fits in each box. Write your answer as a list. For example:
1. Addition Property of Equality
2. x+5=y+5
3. Simplifying

Choose from this word bank.
- Subtraction Property of Equality
- Given
- Substitution Property of Equality
- Segment Congruence Postulate
- Definition of midpoint

Answers

Answer:

df=eg is  Segment Congruence Postulate

de+ef=ef+fg is  Definition of midpoint

de+fg is given

Please help me with this and find x!! Thank you, only if you know!

Answers

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

5. You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C), Horror (H), Drama (D),
Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D,
HR

d. What is the relative frequency of the people that chose drama? Show
your calculation.

e. What is the relative frequency of the people that chose action? Show
your calculation.

f. What is the relative frequency of the people that chose romance? Show
your calculation.

g. Use the relative frequencies calculated in parts (b) – (f) to explain which
genre of movies is the most popular with your class. Explain your reasoning.

h. If you were having a party for your class which movie genre would you be
least likely to pick?

HELP

Answers

Answer:

d. The relative frequency of the people that chose drama is 0.1[tex]\overline 6[/tex]

e. The relative frequency of the people that chose action is 0.2

Step-by-step explanation:

The result of the survey is expressed as follows;

C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R

Sorting the data, with Microsoft Excel, we get;

A,  A,  A,  A,  A,  A,  C,  C,  C,  C, D,  D,  D,  D,  D,  H,  H,  H,  H,  H,  H,  H,  R,  R,  R,  R,  R,  R,  R,  R

From the pivot table created with Microsoft Excel, we have

The frequency of As = 6

The frequency of Cs = 4

The frequency of Ds = 5

The frequency of Hs = 7

The frequency of Rs = 8

The sum of all frequency = 6 + 4 + 5 + 7 + 8 = 30

d. The relative frequency of the people that chose drama is given as follows;

[tex]Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all \ frequencies}[/tex]

The frequency of the people that chose drama = 5

The sum of all frequency = 30

[tex]Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6[/tex]

The relative frequency of the people that chose drama = 0.1[tex]\overline 6[/tex]

e. The relative frequency of the people that chose action, RF action, is given as follows;

[tex]RF \ action = \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies} = \dfrac{6}{30} = \dfrac{1}{5} = 0.2[/tex]

The relative frequency of the people that chose action, RF action = 0.2.

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

The sum of two numbers is 20. When the second number is subtracted from the first number, the difference is 4. Find the two numbers. What are the two numbers?​

Answers

Answer:

12 and 8

Step-by-step explanation:

Answer:

12 and 8

Step-by-step explanation:

Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

Find the missing side of this right triangle.

Answers

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?

Answers

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

3/4 ÷ 1/32

3/4 * 32 / 1

(3*32) / 4

96 /4

= 24 flower pots

5. Which of the following will NOT produce a
Triangle?
A. angle measures of 47, 589, 85
B. angle measures of 61, 61, 58
C. side lengths of 5.5 ft, 11 ft, and 5.5 ft
D. side lengths of 5 in, 7 in, and 8 in

Answers

Answer:

A ) angle measures of 47 , 589 , 85

Step-by-step explanation:

a triangle can only be 180 degrees in total and the second number completely blows it out of that range

EDIT : even if there was a typo in the question , A would still equal 190 and thus make it not a triangle

There are three small rounds of cheddar cheese in Grace’s refrigerator. She wants to bring a small wedge of cheese in her lunch every day for the next 12 days of school. If she wants to eat the same amount of cheese every day, how much cheese should she bring for lunch each day?

Solution:
Number Model:

Answers

Answer:

The one-fourth of one round of cheddar cheese

Step-by-step explanation:

Because if we cut every round in 4 equal pieces, 4x3=12, we will have 12 equal pieces of cheddar cheese.

Okay so i need to know the area of the rectangle on the inside its 5ft on the right side its 6ft and on the bottom its 5ft please and thank you :)

Answers

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

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