There are 20 machines at the gym and Manuel wants to perform exercises on 5 different machines while he is there. How many different ways can he select the machines to use?
31008

1860480

100

15504

Answers

Answer 1
Total machines: 20 Required: on 5 different machines

Selection of machines is persons choice and not arranged specifically, thus we will use Combination.

⇒ 20C5

⇒ 20!/5!(20-5)!

15504

Answer 2
n=20r=5

Use combination

total ways

[tex]\\ \rm\dashrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\dashrightarrow ^{20}C_5[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{20!}{5!15!}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{20(19)(18)(17)(16)(15!)}{5(4)(3)(2)(15!}[/tex]

[tex]\\ \rm\dashrightarrow 15504[/tex]


Related Questions

How does the value of the 8 in 589,310 compare to the value of 8 in 598,301?
Options: It is 8 times as much, It is 10 times as much, It is 80 times as much, It is 100 times as much.

Answers

Answer:

It is 10 times as much.

Step-by-step explanation:

The value of 8 in 589,310 is 80,000, while the value of 8 in 598,301 in 8,000. Thus, 80,000 is 10 times as much as 8,000.

Answer:

it is 10 times as much

Step-by-step explanation:

what's the ans?
[tex]\bf 6(x+4)+1=x+5[/tex]

Answers

Answer:

x = -4

Step-by-step explanation:

6 (x + 4) + 1 = x + 5

6x + 24 + 1 = x + 5 (distributive property)

6x + 25 = x + 5

6x + 25 - x = 5

5x + 25 = 5

5x = 5 - 25

5x = -20

x = -20/5

x = -4

Hope it helps ⚜

Answer: x = -4

Step-by-step explanation:

[tex]6\left(x+4\right)+1=x+5[/tex]

[tex]$$Expand the parentheses[/tex]

[tex]6x+25=x+5[/tex]

[tex]\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}[/tex]

[tex]6x+25-25=x+5-25[/tex]

[tex]$$Simplify[/tex]

[tex]6x=x-20[/tex]

[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]

[tex]6x-x=x-20-x[/tex]

[tex]$$Simplify[/tex]

[tex]5x=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5x}{5}=\frac{-20}{5}[/tex]

[tex]$$Simplify[/tex]

[tex]x=-4[/tex]

complete this sentence
48% of __is 12.
12= 0.48xw
w=?

Answers

25

Step-by-step explanation:

hope this helps for yoir homework

What is the volume of the solid figure?
Enter your answer in the box.

Solid is made up of 3 cuboids. First cuboid has length as 4 ft, height as 9 ft and width as 3 ft. Remaining 2 cuboids are placed on the right and left side of the 1st cuboid whose length as 1 ft, height as 1 ft and width as 3 ft.

Answers

Answer:

Volume of the solid = 2[1 x 1 x 3] + (4 x 3 x 9) = 114 ft³

Ans: 114 ft³

Step-by-step explanation:

You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.

Answers

That's two possibilities of a total of six =

2/6=1/3=33.33%

(1/3)

Please help me out if appreciate it :)

Answers

Answer:

51

Step-by-step explanation:

they are congruent so they are equal to eachotjer

In a triangle, a base and a corresponding height are in the ratio 3:2. The area is 108 in^2. Find the base and the corresponding height.​

Answers

base = 18

height = 12

Step-by-step explanation:

look at the photo its quick n ez

A corner of a rectangle is cut, creating a trapezoid. a right trapezoid is shown. the angles are 90 degrees, 90 degrees, 45 degrees, and x. what is the value of x? 105o 115o 125o 135o

Answers

Answer:

D) 135

Step-by-step explanation:

Add 90+90+45, which is equal to 225,

then subtract that from 360, which is the amount that every quadrilateral has in total.

The answer is 135.

Hope This Helps! :) Please Give Brainliest if this does!

Answer:

D on edge

Step-by-step explanation:

You're welcome :)

John has 7 mice in his lab. He knows a mouse population doubles every month. When can he expect to have 2,625 mice? Please explain.​

Answers

Answer:

31 years and 3 months or non

Step-by-step explanation:

the first thought that comes into my mind is

1 month=7 mice

n month= 7×n=2625 mice

n= 2625÷7=375

so it takes him to 375 months = 31 year and 3 months

but putting on a 2nd thought, I noticed that mice and mouse is different species. so there aren't exact answer

You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.
Submit
Work it out
Not feeling radunt? Th

Answers

Answer:

6*5=30= 30/100

Step-by-step explanation:

we will multiply 6* by 5 and after that we will do it fraction by doing that 30/100

A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?
Draw a picture to represent the bouncing ball.

Answers

The bouncy ball follows a geometric sequence or pattern

The distance of rebound the 5th time is 0.015625 ftThe total distance the ball has travelled after this time is 5.328125 feet

The distance of rebound the 5th time

The given parameters are:

Initial height, a = 16 ftRebound rate = 0.25

The distance at rebound n is represented as:

Hn = a * r^n

At the 5th time, we have:

H5 = 16 * 0.25^5

Evaluate

H5 = 0.015625

Hence, the distance of rebound the 5th time is 0.015625 ft

The total distance travelled

To do this, we calculate H1 to H5

So, we have:

H1 = 16 * 0.25^1 = 4

H2 = 16 * 0.25^2 = 1

H3 = 16 * 0.25^3 = 0.25

H4 = 16 * 0.25^4 = 0.0625

H5 = 0.015625

Add this distances

Total = 4 + 1 + 0.25 + 0.0625 + 0.015625

Total = 5.328125

Hence, the total distance the ball has travelled after this time is 5.328125

See attachment for the picture

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https://brainly.com/question/24643676

Miguel practiced more than 5 hours for his first soccer game. which inequality represents p, the amount of time Miguel practiced?

Answers

Answer:

P>5hours

Step-by-step explanation:

practice time is > five hours

Which expression is equivalent to side "8"?
2
d
8
3
45
1.
e
5
nv2
n3
O O OO
5
n
2n

Answers

Answer:

n

Step-by-step explanation:

Let d = n.

As both d and 8 are opposed by the same angle (45°) in the right triangle, they are equalTherefore, n = 8

How many bars would the team need to purchase from each company in order for the total cost to be equal? 6 8 30 40

Answers

Answer:

It's 40

Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^

Answer:

40

Step-by-step explanation:

Skylar made 25% of her free throws over the season. If she shot 200 free throws, how many did she make?

Answers

Answer:

50 Free Throws

Step-by-step explanation:

Answer: 50 Free Throws

25% = 0.25

0.25*200=50

skylar sucks at basketball

What is the constant of proportionality?

Answers

Answer: y= 2x

Explanation: The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Find the mean absolute deviation of the data set: 1,3,7,11,13

Answers

6 minus the abs n at at the end of 10 and 5 to amplify the 23 and 20 bring it back n out of 0 to 9

Which is the value of `3/4 + 1/2 - 1/3`?

A
`2/3`

B
`7/12`

C
`11/12`

D
`3/3`

Answers

Hey there!

3/4 + 1/2 - 1/3

= 5/4 - 1/3

≈ 15/12 - 4/12

≈ 15 - 4 / 12 - 0

= 11/12


Therefore, your answer is: 11/12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.

Answers

The given quadratic equation will not have any real solution for c<-9/4.

The given quadratic equation is:

[tex]-x^{2} +3x+c=0[/tex]

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation with a≠0.

In order to have no real solution, the discriminant of a quadratic equation will be less than zero.

[tex]D < 0[/tex]

[tex]3^{2} -4(-1)(c) < 0[/tex]

[tex]9+4c < 0[/tex]

[tex]c < -\frac{9}{4}[/tex]

For [tex]c < -\frac{9}{4}[/tex] the given quadratic equation will have no real solutions.

Hence, the given quadratic equation will not have any real solution for c<-9/4.

To get more about quadratic equations visit:

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what are the formula to find the vertex of hexagon​

Answers

Answer:

the answer is 6

Step-by-step explanation:

there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6

Please helpppp meee outttt

Answers

Answer:

Measure of <z would 125 degrees

Step-by-step explanation:

Rewrite the equation in exponential form, and show how you got there:

Answers

Answer: [tex]13^0=1[/tex]

Step-by-step explanation:

Logarithms are in the format [tex]log_{b} a=c[/tex] while exponential form is in the format [tex]b^c=a[/tex]

So we can transfer a,b, and c from the log form to the exponential form

[tex]log_{13} 1=0\\\\13^0=1[/tex]

Find a real life example of an inequality and explain why it represents an inequality

Answers

Answer:

Roads have speed limits

Step-by-step explanation:

Roads have speed limits. This is an inequality because it doesn't reflect an exact number, but rather a restriction on what is permissible or possible.

× 10^-3 is 2,000 times greater than 1. 9 × 10-6. It is also times greater than 9. 5 × 10^-4

Answers

Answer:

1.9 × 10^-6.

Step-by-step explanation:

A certain gas has a volume of 10 liters at a temperature of 404 kelvins (k) and a pressure of 36 pascals (pa). if the temperature is raised to 450 k and the pressure is raised to 40 pa, what is its volume? to the nearest liter, the volume is liters.

Answers

The final volume of the ideal gas is 10.02 liters.

Given Initial volume V₁=10 liters

Initial temperature T₁=404K

Initial pressure P₁ = 36 pascals

Final volume = V₂

Final temperature T₂ = 450K

Final pressure P₂ =40 pascals

What is the ideal gas equation?

The ideal gas equation with usual notations is given by:

[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]

So, [tex]\frac{36*10}{404} =\frac{40*V_2}{450}[/tex]

[tex]V_2=[/tex]10.02 liters

Hence, the final volume of the ideal gas is 10.02 liters.

To get more about the ideal gas visit:

https://brainly.com/question/20348074

Answer:

10 liters

Step-by-step explanation:

The profits in hundreds of dollars, p(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: p(c) = –20c2 320c 5,120. what is the maximum profit the company can make from the product? $540,000 $640,000 $800,000 $896,000

Answers

Answer:

640,000

Step-by-step explanation:

took test

Answer:

B

Step-by-step explanation:

Edge 2022

please help me with this

Answers

Answer:

[tex]183 ft^{2}[/tex]

Step-by-step explanation:

SA = bh + 2ls + lb

b = 6

h = 5

l = 9

s = 5.5

SA= (6 x 5) + 2(9 x 5.5) + (9 x 6)

SA = 30 + 2 x 49.5 + 54

SA = 30 + 99 + 54

SA = 183

A right angle forms a square corner, like the shown below. Draw two angles that are open less than the right angle. Solve this Problem any way you choose

Answers

Answer:

Any angle less than 90 degrees.

Step-by-step explanation:

90 degrees is a right angle. Anything less than that, or less open, would be an acute angle. Anything wider than 90 degrees is an obtuse angle.

Dominic is buying candy by the pound for a party. For every 1010 pounds of candy he buys, he pays \$ 12$12. ​What is the cost, per pound, for the candy? ​

Answers

Assuming the amount he pays for 1010 pounds is $1212, the amount per pound is $.83 per pound

The local store has 7 containers with 14 apples in each container. If they sell 23 apples, how many apples will they have left?

Answers

Answer: 75 apples they have left

Step-by-step explanation:

7 (14) = 98 apples total

98 - 23 = 75

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