Mathematics Middle School

There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees can be formed?

Answers

Answer 1

Answer: 120 ways

Step-by-step explanation:

Number of people in baking club = 10

Number of people who make up an executive committee = 3

Number of committees which can be formed :

This is a combination problem:

nCr = n! / (n-r)! r!

n = 10 ; r = 3

10C3 = 10! / (10 - 3)! 3!

= 10! / 7! 3!

= ( 10 * 9 * 8) / 3 * 2 * 1

= 720 / 6

= 120 ways

Related Questions

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

I don’t get it, what am I supposed to be multiplying!?!

I dont get it, what am I supposed to be multiplying!?!

Answers

Answer: 5400

Step-by-step explanation: image attached

I dont get it, what am I supposed to be multiplying!?!

Answer:

5400

Step-by-step explanation:

we need to calculate the area of big box (prism).

volume = 4 1/2 X 5 X 3 3/4

= 84.375 in³.

volume of small cube = 1/4 X 1/4 X 1/4

= 0.015625 in³.

now we need to find how many of the small ones go into the big one.

84.375/0.015625

= 5400.

There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class? A 210 B 147 C 117 D 107​

Answers

Answer:

147

Step-by-step explanation:

Sharing in a ratio

Add up the terms of the ratio:

7 + 10 = 17

Divide 357 by this value:

357 / 17 = 21

Multiply by the side of the ratio you want (in this case 7, for boys):

21 * 7 = 147

B you take the questions and do something

If you took 40% of $300, would you get the same result in the previous slide? Show your work to explain yourself.

Answers

Answer:

Step-by-step explanation:

40% of $300 would be 0.40($300) = $120.  Given a percentage, convert it to a decimal fraction:  40% => 0.40

40% of 300 is 120. 40% x 300=120

help me out pls i dont understand ill give brainiest to whoever answers correct

help me out pls i dont understand ill give brainiest to whoever answers correct

Answers

Step-by-step explanation:

Attributes in circle A:rhombus, parralelogram

Attributes in circle B:triangle and (the other shape)

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

ASAP Please answer both Questions Will give brainliest to best answer. TY!
A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. The vertices of this polygon are W(3, 3), X(−3, 3), Y(−3, −3), and Z(3, −3). Each grid unit represents one yard.

1. How much fencing will the gardener need to enclose the garden? Show calculation.
2. What is the area of the garden? Show calculation.

Answers

Answer:

1. 24, 2. 36

Step-by-step explanation:

6 + 6 + 6 + 6 = 24

6 * 6 = 36

Your answer is 36 I calculated the answer:D

What is the correct expanded form and value of (One-fifth) Superscript 4?
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
One-fifth times 4 = StartFraction 4 Over 5 EndFraction

Answers

Answer:

B

Step-by-step explanation:

1/5 · 1/5 · 1/5 · 1/5

Answer:

The cat pfp person is wrong. Its b

Step-by-step explanation:

Thank me later

What is the correct expanded form and value of (One-fifth) Superscript 4? One-fifth + one-fifth + one-fifth

Carlo said a population can have more than one sample associated with it. Do you agree or disgree with his statement? Justify your answer.

Answers

agree because everyone is different.

Order the numbers from least to greatest
-2 2.5 -3 -3.5 -2,1/2

Answers

Answer:

-3.5<-3<-2.1<-2<2<2.5

somebody please help im gonna flunk the 6th grade if i can't do this work please my family can't spend money on a tutor because were poor and nobody won't help please i beg of you

Answers

what is the question?
If you want us to help you then put the question here

PLEASE HELP
If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning.

PLEASE HELPIf the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains

Answers

Step-by-step explanation: A relation is said to be a function if each and every element of the domain has a distinct value. value in the range.

It is given that Domain of a relation is a set of all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values.

Now, whole numbers between 2.5 and 7.5 are:

There are 4 numbers in the domain and 6 numbers in the range.

That is the elements in domain are less than the elements in the range.

Therefore, this relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

What the kid said above me said

Part A: Write an algebraic expression for 8 more than 5 times a number.Part B: Write a verbal expression for 4(n + 6).

Answers

Part a. 8+5xn

Part b. 4n+24

What is the area of the figure below

What is the area of the figure below

Answers

Answer: 10m²

Step-by-step explanation:

The formula for the area of a parallelogram is A=bh, b being base, and h being height. To find the area, replace the variables with the numbers given, therefore; A=2.5x4. So A=10m².

The area of the object below is A=10 to the power 2

Solve for x
3/5 (x − 7/10)= −3 1/4
Enter your answer as a mixed number in simplest form.

Answers

Answer:

x = 11(13/14)

Step-by-step explanation:

3/5(x – 7/10) = -31/4

open the bracket:

3/5 * x – 7/10 = -31/4

3/5 * –7x/10 = -31/4

3/5 + 31/4 = 7x/10

(12+155)/20 = 7x/10

167/20 = 7x/10

cross multiply:

140x = 1670

x =1670/140

x = 11(130/140)

x = 11(13/14)

The value of x is 1/5.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3/5 (x − 7/10)= −3 1/4

Now, Solving for x

3/5 ( x- 7/10 )= 13/4

x- 7/10 = -13/4 x 5/3

x- 7/10 = -65 /12

x= -65/12 + 7/10

x= 24/ 120

x= 1/5

hence, the value of x is 1/5.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ2

Jamie buys 3 snacks and 2 bottles of juice. Each snack costs $0.75, and each bottle of juice costs j dollars. The total cost of the snacks and bottles of juice is $6.75. Which of the following equations could be used to find the cost of a bottle of juice, in dollars?

Answers

Answer:

2.25+2j=6.75

That is the answer I got

Answer is 3(.75) + 2j = $6.75 is the equation

Step by step

Since you didn’t give options I will give you my equation.

3 snacks * .75 + 2 juice * x unknown $ = 6.75

3(.75) + 2j = $6.75 is the equation

Solve

2.25 + 2j = 6.75

Subtract 2.25 from both sides to isolate j

2.25 - 2.25 + 2j = 6.75 - 2.25

2j = 4.50

Divide both sides by 2 to solve for j

j = $2.25

Kelly bought 8 apples, 3 pears and 13 oranges and brought them home in a grocery bag. She picks one out without looking at what is the probability (in a fraction) of her getting a pear? An apple? Or a pear. brainleist to first to answer.

Answers

Answer:

The chances of choosing an apple are 8/24 = 1/3

The chances of choosing an pear are 3/24 = 1/8

Step-by-step explanation:

Answer:

Step-by-step explanation:There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where is the the number of apples, is the number of pears and is the number of oranges:

1)

2)

3)

- You must substitute the equation 3) into the equation 2):

- Now, you need to solve for in the equation 1) and then you must substitute it into :

- Solve for , as following:

- Therefore, there are 152 apples.

[-85) x (-29) + 85

distributive property
someone please
solve it

Answers

\((-85) \times (-29) + 85 \\ \\ 2465 + 85 \\ \\ 2550.\)

Answer:

(-85) x (-29) + 85

-85 x -29 = 2465

2465 + 85 = 2550

answer 2550

Step-by-step explanation:

someone plz help i givs brainiest and 50 points

Your basketball team wins a game by 13 points. The opposing team scores 72 points. Explain how to find your team's score.

Answers

Answer:

You add 72+13 because you scored 13 MORE points then the opposing team, giving you 85 points.

Step-by-step explanation:

Hope this helps!!! :)))

Your team has 13 more points so 72 + 13 which is 85.

Please help I don’t get this math plz explain ;w;

Please help I dont get this math plz explain ;w;

Answers

i believe its 3 because the range is the distance between the highest and lowest number

Answer:

B(3)

Step-by-step explanation:

i believe its 3 because the range is the distance between the highest and lowest number

Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.

Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.
Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.

Answers

#36 is A # 38 I C #44 is D and # 48 is A
okay thank you so much

The temperature in Chicago was reported as 2.5 degrees F below zero. The temperature in Detroit was reported as 1.5 degrees F above zero. The temperature in Chicago can be reported as:
a) 2.5 degrees F
b) -2.5 degrees F

Answers

Answer:

It would be B) -2.5 degrees F

Step-by-step explanation:

If it was 2.5 BELOW zero that would put it -2.5

HELP PLEASE I REALLY NEED HELP

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875
Hi how has your day been

I need help, please help me!!

I need help, please help me!!

Answers

Answer: exactly

Step-by-step explanation:

Answer:
x = -2 ; y = -8
x = -1 ; y = -1
x = 0 ; y = 0
x = 1 ; y = 1
x = 2 ; y = 8

Explanation:
Multiply each number (x) 3 times to the exponent (3)
Example: x = 2 (2 • 2 • 2 = 8)

The volume of this cylinder is 175pi cubic units. What is the volume of a cone that has the same base area and the same height?

A cone has volume 3pi. If the cone's radius is 2, what is its height?

A cone has volume 3pi. If the cone's radius is 5, what is its height?

Answers

Answer:

1 is 58.333

2 is 2.25

3 is .36

Step-by-step explanation:

1. cylender devided by 3

2. 3pi=(4pi*hight)/3

3. above

-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers. If the work is divided evenly, how many walls must each volunteer paint?

Answers

Answer:

24 walls per volunteers

Step-by-step explanation:

given that there are 864 walls and that there are 36 volunteers

if the walls are divided evenly over the 36 volunteers,

each volunteer would paint,

= 864 walls ÷ 36 volunteers

= 24 walls per volunteers

help mee asap pleasee Which expression calculates the speed in feet per second of an object that travels a distance of 20 feet every 4 seconds?

Responses


A-20 plus 4


B-4 times 20


C-20 divided by 4


D-4 divided by 20

Answers

Answer:

C

Step-by-step explanation:

ANSWER:
C

Step-by-step:

d: 20
t: 4

d= v • t
20 = 4v

20/4

You guys are annoying!

Answers

the reason for the annoying behavior that you see in us is because you do not understand us. if you were a proper weirdo, you would know this.

yay that is amazing congratulations

Please Help
I need an answer ASAP

Please Help I need an answer ASAP

Answers

i believe the the answer is 27
I believe it’s right to
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