show that C(n,r) + C(n,r-1) =
C(n+1,r)​

Answers

Answer 1

Answer:

Cn,Cr+Cn,Cr,-C

C(n+1,r)


Related Questions

In the diagram below, a right circular cone with a radius of 3 inches has a slant height of 5 inches, and a right cylinder with a radius of 4 inches has a height of 6 inches. Determine and state the number of full cones of water needed to completely fill the cylinder with water.

Answers

this is the correct answer

The number of full cones of water needed to completely fill the cylinder with water is 8 cones.

What is Volume of cylinder?

The Volume of Cylinder is, V= πr²h

where r is the radius, h is the Height of cylinder.

Given:

Cylinder:

Height= 6

Radius = 4

Volume of cylinder = πr²h

                                = πx 4 x 4 x 6

                                = 96π in³

and, Cone:

Radius = 3

l = 5

h= √5²-3²

h = √25-9

h= √16

h= 4 inch

So, Volume of Cone = 1/3 πr²h

                                  = 1/3 x π x 3 x 3 x 4

                                  =  12π in³

Thus, number of full cones of water needed to completely fill the cylinder with water

= 96π in³/ 12 π in³

= 8 cones

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

A jeweler was interested in the relationship between the weight of a diamond, in carats, and the market price of the diamond, in dollars. The jeweler selected a random sample of diamonds with the same cut and quality and recorded the weight and market price of each diamond.


Required:

Draw the residual plots that provides evidence that the condition that there is a linear relationship between weight and market price has not been met.

Answers

Answer:

The answer is "ski slope from left to right".

Step-by-step explanation:

It has been shown by the jeweler's value in the standardized residuals, it is clear that a linear relation is not fulfilled between mass and market price.

And you know that a normality test would be violated if a curve exists upon on remainder of a story. Because the constant variance will not be received. That violated the static hypothesis.

There B, C, D, E does have the consistent variance as seen in the figure following the linear hypothesis of equal variances however the curvature is shown by a residual plot that has not fulfilled requirements, but the direct correlation between mass and current value is not fulfilled.

Cindy's soccer team played 20 games this
season. They won 60% of their games
and lost the rest. What was their record
of wins and losses?

Answers

Answer:

Wins: 12

Losses: 8

Step-by-step explanation:

60% of 20 is 20 x 0.6 = 12

20 - 12 = 8

20X 60/100 =12

Loss 20-12=8

Win 12 loss 8

Jsjsjs I hate this school app

Answers

PREWRITE

I HOPE IT'S HELP PLZ FOLLOWING ME

A) Pre-writing ayyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

100 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

ASAP PLSS HELPPP!!!!!! If the area of a triangle is 78 square meters and the height of this triangle is 13 meters, what is the length of the base of this triangle?

A)None of these answers are correct
B)32.5 m
C)507 m
D)1,014 m
E)12 m

Answers

Answer:

E. 12 m

Step-by-step explanation:

b = 2×A/h

= 2×78/13

= 156/13

= 12 m

What is the area of a slice from a 12-inch pizza with a central angle of 50°?

Answers

Answer:

the answer for this is 15.7 inches to the second power

Step-by-step explanation:

if this helped you should mark this the brainliest answer

The area of the slice = Area of sector of a circle =  15.7 in.².

What is the Area of a Sector of a Circle?

Area of sector of a circle = ∅/360 × πr².

Given the following:

Diameter = 12 in.Radius = 12/2 = 6 in.∅ = 50°

Plug in the values:

Area of the slice = Area of sector of a circle = ∅/360 × πr² = 50/360 × π(6²)

Area of the slice = Area of sector of a circle = 15.7 in.².

Learn more about the area of a sector on:

https://brainly.com/question/22972014

Given m||n, find the value of x.

Answers

Answer:

x =30

Step-by-step explanation:

2x-22+5x-8=180 (st. line)

7x-30=180

7x=210

x=210/7

x=30

The side of square is 5 meters find the area of square?​

Answers

Answer:

Area = 25m²

Step-by-step explanation:  A=a²=5²=25m²

Answer:

25m²

Step-by-step explanation:

Simply multiply the number of total sides of the shape(4) and  the measurement of each side (5m)

4 sides x 5 meters = 25m²

always put m² after your final answer

Find Hypotenuse HELP

Answers

Answer:

use this formula

1 no .H^2=p^2+b^2

H^2=8^2+15^2

H^2=64+225

H^2=289

H=[tex]\sqrt{289}[/tex]

H=17

2 no. H^2=P^2+B^2

H^2=20^2+21^2

H^2=400+441

H^2=841

H=[tex]\sqrt{841}[/tex]

H=29

Step-by-step explanation:

Hope this helps u!!

Answer:

pythagoras therom

a) square root 8²+15²=17

b)square root 20²+21²=29

5^-8 times 5^4 simplified

Answers

Answer:0

Step-by-step explanation:

Hello!

5^-8(5^4)=

5^(-8)(625)=

5^-5000= 0

Hope this helps, Have a great day!

i need help with this

Answers

Step-by-step explanation:

=> V = 4/3 π r³

=> V1 : V2 = r³ : r'³

=> 1³ : 5³

=> 1 : 125

5 × ( 1/3 + 2/5 ) peealse i nedd a answer quick

Answers

Answer:

11/3     as improper fraction

3 2/3       as proper fraction

Step-by-step explanation:

5 × ( 1/3 + 2/5 )

use common denominator of 15

5 × ( 5/15 + 6/15 )

Add

5 × ( 11/15)

Reduce

1 × ( 11/3)

11/3

as a proper fraction

3 2/3

Answer:

3.666666667

Step-by-step explanation:

= 5 (1/3 + 2/5)

= (5 (1/3)) + (5 (2/5))

= (1.666666667) + (2)

= 3.666666667

Hope this helps :)

What is 2 + 2 I'm in 11th grade and my teacher gave me this question?

Answers

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Find the area of the figure
area: units2

Answers

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

the table below shows some inputs and outputs of the invertible function f etc ​

Answers

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

PLEASE HELP ITS URGENT I DONT UNDERSTAND THIS UNIT

Answers

srry i believe my answer was wrong i solved instead of simplifying sorry

s

Step-by-step explanation:

Answer:

[tex]\frac{-2cos(x)sin(x)}{(1-sin^2(x))}[/tex]  = -2tanx

Step-by-step explanation:

Cameron's father wouldn't allow her to play with her friends until her room was spotless. Cameron hated cleaning; it was boring. She sat on her bed, taking in the chaos that surrounded her. There were piles of books on her desk, her bed was unmade, and her clean laundry sat in a basket by the door. It would take forever to tidy this room! Suddenly, Cameron had a brilliant idea. She rummaged through her sports bag and found a stopwatch. She would turn the chore into a game by timing herself. Cameron started the timer and buzzed frantically about the room, putting clothes and books away before making the bed. About fifteen minutes later, her room was completely organized. Satisfied with her time, she now needed her father's approval. Upon inspection, Cameron's father seemed happy with the results. With her chores complete, Cameron raced outside to meet her friends.

One conflict in the story is that
(Links to an external site.)
A) Cameron does not think her room is messy.
B) Cameron does not want to clean her room.
C) Cameron's friends are waiting for her.
D) Cameron's father is upset with her.

Answers

Answer:

B

Step-by-step explanation:

how is that mathematics ?

this is psychology or something related.

A is clearly wrong. she knows it is messy.

C is not a conflict. this is the precondition for the conflict.

D no, that is nowhere stated. wrong.

that leaves B if it was not clear from the beginning.

find the slope between the pair of points.

through: (1,-3) and (2,3)

Answers

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

Two points (1,-3) and (2,3)

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

[tex]:\implies[/tex] m = y- y/ x - x

[tex]:\implies[/tex] m = -3 -3 / 1 - 2

[tex]:\implies[/tex] m = -6/-1

[tex]:\implies[/tex] m = 6

Hence the slope of the line is 6.

A circle is centered about the point (2, 0). The point (0, 1) is on the circle. Which statement proves that the point (4, 1) is also on the circle?

Answers

Answer:

Step-by-step explanation:

the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:

r^2=0^2+4^2

r^2=16

r=4

so we can check that the other point is four units from the origin and thus also on the circle...

d^2=2^2+6^2

d^2=4+36

d^2=40

since d^2>r^2, (2,6) is outside the circle

y=3x²+3x+1,find the value of the discrimination​

Answers

Answer:

Step-by-step explanation:

a = 3

b = 3

c  = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

Find the value of x in each figure. Show work

Answers

Answer:

1. x=28 degrees 2. x=70 degrees

Step-by-step explanation:

QUESTION ONE:

I know that 3x=84, so all I need to do is divide both by 3. I get x=28.

QUESTION TWO:

I can use vertical and complementary angles for this problem. I know that the smaller complementary angle is equal to 160-180, that's 20. Therefore, I get 90=20+x. If I simplify I get 70=x, because 70+20=90.

The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm

Pls answer fast​

Answers

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Find the greatest common factor of 12 and 32.

A) 9
B) 12
C) 6
D) 4

Answers

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

WILL



GIVE BRAINLIST



ANSWER

...
MATH

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Entire circle has 360 degree, hence, the degree taken up by each sport is a product of the percentage and 360°

Sport ___ percent ___Degree occupied

Baseball __ 15% __ 15% * 360 = 54°

Football ___10% __ 10% * 360 = 36°

Basketball _ 57% __ 57% * 360 = 205.2°

Soccer ____ 12% __ 12% * 360 = 43.2°

Others ____ 6% ___ 6% * 360 = 21.6°

Which expression is equivalent to -5 (3x - 6/7)?
A: -15x - 30/7
B: -15x - 6/7
C: -15x + 6/7
D: -15x + 30/7

Worth a 100 points! the answer is D by the way....while i was searching the answer for this, i didn't find it so i did it and post it here so that others could see the answer, also :3 have a great day! enjoy the points...but answer the question anyway XD !

Answers

Answer:

D I just a 100%

Step-by-step explanation:

-#&2&2(#+&##&+##-#&:#;#:#:#:#$;$;

Answer:

d) thanks for the points:)) have a good day!

-5 (3x - 6/7)

-15x + 30/7

Find the value of x..

a. 20.6
B. 11.2
C. 125
D. 19.4

Answers

Answer:

11.2

Step-by-step explanation:

11.2 is the only one that looks reasonable if you're considering the length of it lol

PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME

Use the box plot to explain what you know about the spread of this data set.

Answers

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?

Answers

9514 1404 393

Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

  L = P + t·v

where P is the given point and v is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

__

If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

SELECT ALL THAT APPLY

Which of the following are INDEPENDENT events?

a.) You randomly choose 2 socks from a drawer, hoping they will match.

b.) You draw a marble from a bag, replace it, and draw again.

c.) You draw two numbers from 1 to 10 from a hat without replacing the first.

d.) You flip a coin and roll a number cube.

Answers

Answer:

A

Step-by-step explanation:

I hope this helps.

Have a good day :)

a.) You randomly choose 2 socks from a drawer, hoping they will match.

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