Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they select 3 of the camps to sign her up for?

Answers

Answer 1

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways


Related Questions

Can someone please help me with this question?

Answers

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

what is the angle that has 0 degrees called

Answers

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

I need help with this, please. Any advice would be appreciated.

Answers

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

Answer:

125

Step-by-step explanation:

i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.

Answers

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The volume of a cuboid is 360cm3. The length is 3cm and the width is 80mm. Work out the height of the cuboid in cm.

Answers

Answer:

[tex]15\:cm[/tex]

Step-by-step explanation:

Use the formula for the volume of a cuboid.

[tex]V=lwh[/tex]

[tex]80\:mm=8\:cm[/tex]

[tex]360=3 \times 8 \times h[/tex]

[tex]360=24 \times h[/tex]

[tex]360 \div 24 = h[/tex]

[tex]15=h[/tex]

The height of the cuboid 15 cm.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

The volume of a cuboid is 360cm3.

The length is 3cm and the width is 80mm.

now,

80mm=8cm

volume= l*w* h

i.e. 360 = 3* 8*h

so, h= 15

Hence, The height of the cuboid 15 cm.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

What is the value of
* f(-1) when f(x) = 2x + 2?

Answers

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases

Answers

Its c, as x increases y increases and then decreases

A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b

Answers

Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³

Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?

Answers

If it gets stuck in my head, then i listened to the song.

As an estimation 5 miles is 8km. convert 12.5 miles to km

Answers

Answer:

5 x 2.5 = 12.5

8 x 2.5 = 20

answer: 28

Answer:5 x 2.5 = 12.5

8 x 2.5 = 20

Step-by-step explanation:mark me as brainest plsssssssssssssssssss


Which graph represents y<-3x?​

Answers

Step-by-step explanation:

Desmos Graphing Calculator

Which BEST describes the shape of the distribution?
A) uniform
B) skewed right
C) skewed left
D) roughly symmetrical

Answers

Answer:

skewed left

Step-by-step explanation:

this is because most of the data set is on the right side

Answer:

C

Step-by-step explanation:

The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left

I’m crying pls help :(
Choose the definition for the function

Answers

Answer:

b.

Step-by-step explanation:

everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2

Answer:

The correct option is b.

Step-by-step explanation:

x + 1 ...........................x ≤ 5

x+2 .............................x ≥ 2

between any two rational numbers there is ?

Answers

Answer:

Step-by-step explanation:

There are infinitely many rational numbers between any two rational numbers.

Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3

Answers

Answer:

D

Step-by-step explanation:

*WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]

[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]

[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]

[tex]3x=9x-72[/tex]

[tex]3x-9x=-72[/tex]

[tex]-6x=-72[/tex]

[tex]x=12[/tex]

Answer:

[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]

[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]

[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]

[tex]3x = 9(x - 8)[/tex]

[tex]3x = 9x - 72[/tex]

3x - 9x = -72

-6x = -72

x = 12

HELP!!!! Position and label the triangle on the coordinate plane

Answers

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

jenny has 36 cupcakes. how many kids (including jenny) can share these cupcakes evenly?

Answers

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

find the lowest common multiple of 8 and 6

Answers

Answer:

24

Step-by-step explanation:

8x3

6x4

Answer:

24

Step-by-step explanation:

LCM is the Lowest Common Multiple

To find the LCM of 2 numbers, first list a few of the first multiples of each number:

8 = 8,16,24,32,40

6 = 6,12,18,24,30

Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM

hope this helps

There are two approaches to solving the equation -3x + 10 = 4x - 20

What is the answer? pls help      

Subtract 4x from both sides. OR Add 3x to both sides.

              –7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

What is the solution?

Answers

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Could someone please explain to me how to solve this problem? Thanks! :)

Answers

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

I need help with this question, Please

Answers

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation

[tex] {16}t^{2} + 84[/tex]
gives the height of the ball after t seconds.

What is the maximum height of the football.


Answers

Answer:

84feet

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Plssssssss........helppppppp meeeeeee

Answers

Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:
12

Explanation:
The coefficient is the number in front of a variable.

pls help for brainliest answer

Answers

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976

Please help! It’s an easy multiple choice question. Question in the photo.

Answers

Answer:

Step-by-step explanation:

Just so you know, the answer is NOT B, as one person stated.

In order for a right triangle to be a right triangle, 2 things have to happen.  One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.

Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17.  Using Pythagorean's Theorem to test:

[tex]8^2+15^2=17^2[/tex] and

64 + 225 = 289 and

289 = 289.  So a is a right triangle. Now for b:

[tex]20^2+21^2=29^2[/tex] and

400 + 441 = 841 and

841 = 841. So b is also a right triangle. Now for c:

[tex]9^2+16^2=18^2[/tex] and

81 + 256 = 324 and

337 = 324.  Obviously, 337 does not equal 324, so c is not a right triangle.

.  Obviously, 337 does not equal 324, so c is not a right triangle.

2/3(1+n)=-1/2n solve for n

Answers

Answer:

[tex]n = - \frac{21}{12} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)= -1/2n    ======= × 6 both sides

4(1+n)= -3n

4+4n= -3n

-7n=4

n= -4/7

Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.

Answers

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

-In the term, 3x^5 , the number 5 is called ?

Answers

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the pizza 8 of these slices would be in decimal form.

Answers

Answer:

0.5

Step-by-step explanation:

If one part = 1/17

Then, 8 parts = 1/16 x 8 = 1/2

1/2/as a decimal is 0.5

Hope this helps

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