A guitar effects pedal enthusiast is going to a gear convention where people sometimes break out their own custom pedals to show off or trade. She has 5 different pedals she's thinking about packing with her, but she's not sure whether she should bring all of them, some of them, or none of them. How many different ways are there for her to decide whether and how many pedals to pack? Use subsets to help you figure this out, and write your answer as a whole number.

Answers

Answer 1

There are 32 different combinations that she can select out of the 5 pedals.

How many different combinations there are?

We want to get the total number of different combinations that we can make with 5 different pedals.

Remember that for a set of N elements, the number of different sets of K elements that we can make is:

[tex]C(N, K)=\frac{N!}{(N - K)!*K!}[/tex]

In this case, the total number of different combinations that we can make with the 5 pedals is given by:

C = C(5, 0) + C(5, 1) + C(5, 2) + C(5, 3) + C(5, 4) + C(5, 5).

Let's calculate each one of these:

[tex]C(5, 0) = \frac{5!}{(5 - 0)!*0!} = \frac{5!}{5!} = 1\\\\C(5, 1) = \frac{5!}{(5 - 1)!*1!} = \frac{5!}{4!} = 5\\\\C(5, 2) = \frac{5!}{(5 - 2)!*2!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\C(5, 3)= \frac{5!}{(5 - 3)!*3!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\\\C(5, 4) = \frac{5!}{(5 - 4)!*4!} = \frac{5!}{4!} = 5\\\\C(5, 5) = \frac{5!}{(5 - 5)!*5!} = 1[/tex]

So the total number of different combinations is:

C = 1 + 5 + 10 + 10 + 5 + 1 = 32

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255


Related Questions

Can you please help me please can you answer both of these questions

Answers

Answer:

Item 2

Perimeter is (5*2) + 12.5*2 = 35 ft

Area is 12.5 * 5 = 62.5 ft^2

________________

Item 3

perimeter is (5.8*2) + 9*2 = 29.6 ft

Area is 9 * 4.8 = 43.2 ft^2

Step-by-step explanation:

Hope to help you

Formular of area. you can find in internet. If you forgot.

and perimeter can take length each side to sum.

HELP PLEASE!

Three consecutive integers have a sum of 57. Find the integers.

Answers

Answer:

18, 19, and 20.

Step-by-step explanation:

Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.

my equation is - 3 = X + 8

Answers

Answer:

X=-11

Step-by-step explanation:

Isolate the varible. Substract 8 on both sides to get X equals -11

X would equal -11
Hope this helps!

Brainliest if correct

Answers

Answer:

[tex]\frac{2}{3} + \frac{1}{5} = \frac{10}{15} +\frac{3}{15} = \frac{13}{15}[/tex]

PLEASE BRANLIEST ANSWER IS CORRECT I CHECKED

Step-by-step explanation:

First, find the least common denominator which is 15.

[tex](\frac{5}{5})\frac{2}{3} + (\frac{3}{3})\frac{1}{5}[/tex]

When we multiply by 5/5 or 3/3 we are not changing the value of the fraction, just turning the denominator into one which we can work with the other fraction's denominator.

After simplification:

[tex]\frac{10}{15} + \frac{3}{15}[/tex]

Now we can add:

[tex]\frac{13}{15}[/tex]

Answer:

13/15

Step-by-step explanation:

because 5 x 2=10                  3 x 1=3

              5 x 3=15                5 x 3=15

   10/15+3/15= 13/15

Help please it's urgent

Answers

Answer:

7.6

Step-by-step explanation:

please make me brainliest

Answer:

it’s me on another account make my other title brainliest now :D

Step-by-step explanation:

How to find angles C and D.

Answers

Answer:

c = 21º

d = 100º

Step-by-step explanation:

In questions like this, always find the angles you can find and it will help you find more and more.

So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140

angle e = 140º

Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.

As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º

Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º

Can anyone help me solve this series problem?

Answers

Answer:

32 by using triangle taerem

Zoe walks 13of a mile every 25of an hour.

How many miles does Zoey walk per hour?

Answers

Answer:

25/13 miles in an hour

Step-by-step explanation:

So she walks 1/13 mile per 1/25 hour.

To find the miles in an hour, just multiply the 1/25 hour by 25/

1/25 hour * 25 = 1 hour.

1/13 mile * 25 = 25/13 miles in an hour

A. Fill in the missing even or odd numbers.
- 16
1) 6, 8, 10,
2) 38, 42, 46,
58
3) 80, 74, 62, 56,
4) 61, 63, 65, _ 71
5) 109, 107, 105,99

Answers

1) 12, 14

This is the answer because each increasing number was increased by 2, so if you add 2 to 10, you'd get 12. If you add 2 to 12, you would get 14.

2) 50, 54

Same explanation as above but for the number 4.

3) 68, 50

Same explanation as 1, but with subtracting the number 6.

4) 67, 69

Same as number 1

5) 103, 101

Same as number 3 but subtracting the number 2

Hope this helps!!! :)

100 POINYS AND BRIANLIST

Answers

Answer: See below

Step-by-step explanation:

Let A represent an adult who visited a therapist

Let B represent an adult who used a non-prescription antidepressant

Given:
P(A) = 0.28 P

P (B) = 0.43

P(A Intersection B) = 0.22

a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27

P(B | A) = 0.79 or 79%

b)  P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3

P(A | B) = 0.51 or 51%

Answer:

(a)  44.44%

(b)  71.43%

Step-by-step explanation:

Let A = adults who visited a therapist.

Let B = adults who used antidepressants.

Therefore:

P(A) = 0.28P(B) = 0.45P(A ∩ B) = 0.20

Part (a)

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\A given B:\\\\$\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult visited a therapist (Event A) during the past year, given that he or she used antidepressants (Event B), use the conditional probability formula for A given B:

[tex]\implies \sf P(A | B)=\dfrac{PA \cap B)}{P(B)}[/tex]

[tex]\implies \sf P(A | B)=\dfrac{0.2}{0.45}[/tex]

[tex]\implies \sf P(A | B)=0.444444...[/tex]

[tex]\implies \sf P(A | B)=44.44\%\;\; (nearest\; hundredth)[/tex]

Part (b)

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\B given A:\\\\$\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult used antidepressants (Event B), given that he or she visited a therapist (Event A) during the past year, use the conditional probability formula for B given A:

[tex]\implies \sf P(B | A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

[tex]\implies \sf P(B | A)=\dfrac{0.2}{0.28}[/tex]

[tex]\implies \sf P(B | A)=0.714285714...[/tex]

[tex]\implies \sf P(B | A)=71.43\%\;\; (nearest\; hundredth)[/tex]

find the cardinality of x , if x={-n,...,-2,-1,0,1,.....n}

Answers

Answer = 2n + 1
Cardinality is the number of elements in a given mathematical set.
In this set,the cardinality is 2n + 1
Explanation the n is a certain number and also in this set it has both negative and positive n
Before the number of elements in this set excluding one (which is 0 is 2n then the other one is added
Hence the cardinality is 2n + 1

Find the value of x for the triangle.

Answers

The sum of all the angles in a triangle is 180 degrees, so we get the equation:

  [tex]55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3[/tex]

The value of x is -3.

Hope that helps!

Answer:

(x+74)+55+54=180

x= -3

Please help meeeeeee

Answers

Answer:

a) 45°=x

b) not

................

1. what is the value of 8:3 = 24:x

Answers

Answer:

x = 9

Step-by-step explanation:

8 : 3 = 24 : x

=> 8/3 = 24/x

=> x = 24 x 3 / 8

=> x = 3 x 3

=> x = 9

please help asap
perform the indicated operation. Write the answer in the form a+bi.
(3-10i)(2+4i)

20 points

Answers

Answer:

  46 -8i

Step-by-step explanation:

Multiplication of complex numbers is done in a fashion similar to multiplication of any binomials. The difference is that i² = -1, so some terms can be combined.

  (3 -10i)(2 +4i) = 3(2 +4i) -10i(2 +4i)

  = 6 +12i -20i -40i² = 6 -8i +40

  = 46 -8i

_____

Your calculator may be able to help.

Graph the following function: y=−sec(x+π/4)+2

Answers

That should be the correct answer

00
1
Which number makes the sentence true?
-3,834 = 2,470
OA. 6,304
ОВ.
6,305
OC. 6,314
OD. 1,364

Answers

Answer:

The answer for this question is 6,304

Evaluate −2x2−4x+3 when x=−2.

Answers

Answer:

-2 x 2 - 4x + 3

If x = -2, then . . .

-2 x 2 -(-4 x -2) + 3

-2 x 2 + 8 + 3

The answer is 7

-2x2-4x+3 = 7

I know this because of

( )

Exponents

x or /

+ or -

-2x2-4(2)+3 = 7 because x=3 so,

-2x2-8+3

7

Solve x / by 2.4 =12.7

Answers

Answer:

30.48

Step-by-step explanation:

...

Answer:

30.48

Step-by-step explanation:

2.4x12.7=30.48

Write an equation of the form y = mx for the line shown below. If appropriate, use the decimal form for the slope.

Answers

Answer:

y=3/4x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-3))/(4-(-4))

m=(3+3)/(4+4)

m=6/8

m=3/4

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

i need help on this question

Answers

Answer:

Step-by-step explanation:

∠WTX = ∠WUV (facing same arc WV)

9x + 18 = 15x

6x = 18

x = 3

In ΔXUV,

∠VXU = 180 - 15x - (3x + 21)

= 180 - 18x - 21

= 159 - 18(3)

= 159 - 54

= 105°

HOW DO I DO THIS[tex]j[/tex]

Answers

Answer:

times them

Step-by-step explanation:

all the numbers

Question 3
It takes 2 2 hours to type a 7-page report. It takes / hour to photocopy the 11 copies of the report.
How long did it take to complete the report? (Tick appropriate box)
0 4 Hours
3 Hours and 45 minutes
O 2 Hours and 45 minutes

Answers

Answer:

3 Hours and 45 minutes

Step-by-step explanation:

2 hours and 30 minute 11/4 is 1 hour and 15 minutes add that and its get 3/45

How many ninth does it take to make the same amount as one third

Answers

We just need to multiply the number by 3

Answer:

3

Step-by-step explanation:

you have 1/3, to find out how many ninths you have, you must multiply the denominator by three (because 3*3=9). whatever you multiply on the bottom you must multiply on the top (if you don't do that then it's not the same as 1/3 anymore)

therefore 1/3 == (1*3)/(3*3) == 3/9

if you want to know how many twelves it was then you multiply by 4 to get 12 on the bottom:

1/3 == (1*4)/(3*4) == 4/12

therefore 1/3 == 3/9 == 4/12. they are all the same fraction

• 3 skittles are red • 6 skittles are green • 3 skittles are blue A skittle will be randomly selected from the bag. What is the probability in decimal form that the skittle selected will be green?

Answers

Answer:

13.4

Step-by-step explanation:

You multiple all of numbers and divide it by 4

Answer:

The probability of pulling out a green skittle in decimal form is 0.5

Step-by-step explanation:

Hope that helps

Learning POST-Qunz Greatest Common Factor - Item 31123 Ques Drag each pair of numbers to show if their greatest common factor (GCF) is less than 6, equal to 6, or greater than 6 CLEAR CHE 8 and 20 18 and 45 4 and 10 12 and 28 12 and 30 16 and 24 GCF is less than 6. GCF is equal to 6. GCF is greater than 6. DRAG AND DROP ITEMS DRAG AND DROP ITEMS HERE DRAG AND DROP ITEMS HERE be here to search 昌 52°​

Answers

The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.

Answers

Answer:

50 + 40x

Step-by-step explanation:

Help me! Please.✅✅✅✅✅✅

Answers

Answer:452.38934211693

Step-by-step explanation:

I NEED HELPPPPPPLLLPLEASE

Answers

Step-by-step explanation:

variability = larger range

can you put your answer below

Maria has 7 gallons of water. Josh has 24 quarts of water. How many more cups of water does Maria have than Josh​?

Answers

Answer: Maria has 16 more cups of water than Josh

Step-by-step explanation:

Answer:

38.51

Step-by-step explanation:

1 gal: 19.21 cups

7 gal x 19.21 cup = 134.51 cups

1 quart: 4 cups

24 x 4 = 96 cups

134. 51 - 96 = 38.51 cups

Have an amazing day!

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