The largest 2-digit number is 99. How many 2-digit numbers must be in a set in order to apply the pigeonhole principle to conclude that there are two distinct subsets of the numbers whose elements sum to the same value

Answers

Answer 1

Answer:

The solution can be defined as follows:

Step-by-step explanation:

[tex]\to n = 10[/tex]

There are 210 = 1,024 sub-sets of 10 entries, however, the number of enters between the lower and upper limits total of 10 different submissions between 1 and 100 can be as low only as 901 (= 955 - 55 + 1). There has to be a minimum level of at least 1 subset with much more subgroups than possible, which equals at least two sets. Call for two main sub, S' and T' equivalent.

Let

[tex]C = S' \cap T'[/tex]

when

[tex]S = S' - C \\\\T = T' - C\\\\[/tex]

Then[tex]S \ and\ T[/tex] are disjoint

[tex]sum(S) = sum(S' - C)\\\\[/tex]

            [tex]= sum(S') - sum(C)\\\\= sum(T') - sum(C)\\\\= sum(T' - C)\\\\= sum(T)\\[/tex]


Related Questions

Rearrange the formula P = 2(L + B) to solve for b.​

Answers

Answer:

Step-by-step explanation:

can someone please help? will give brainliest

Answers

Answer:

Step-by-step explanation:

128 * [tex]\frac{5}{8}[/tex]  =  80

Answer:

80

Step-by-step explanation:

let's look at the probability. There is a 5/8 chance of the spinner landing on an odd number. you would multiply the 128 by 5/8 to get your estimate of 80 times the spinner will land on an odd number. Hope this helps! :)

Below is how many times each of the eight cows on frannies farm mooed yesterday

Answers

Answer: 8 cows mooed

Step-by-step explanation:

The function f (x) varies directly with x and f (x) = 160 when x = 40.
What is f () when x = 8?
2
32
5
20

Answers

Answer:

it is 32.

I know this because it was in my last year syllabus

line f has a slope of -3. what is the slope of the line that is parallel to line f

Answers

Answer:

A line parallel has the same slope, so -3

The slope of the line that is parallel to line f is -3.

The given line f has a slope of -3.

We need to find the slope of the line that is parallel to line f.

What are parallel lines slope?

The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].

So, the slope of the parallel line=-3

Therefore, the slope of the line that is parallel to line f is -3.

To learn more about the slope of parallel lines visit:

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The graph of a linear equation is shown. y ОN HNWO -7-6-5-4-3-2-11+1234 5 6 7 -27 -3 가 Place values in the table to show three ordered pairs that are each part of the solution set of the linear equation. 2 P. y – 4 2 -6 -3 - 6​

Answers

Answer:

n

Step-by-step explanation:

s

The y intercept of the line that is perpendicular to the line 18x−6y=12 and passes through the point (6,1) is...

Answers

Step-by-step explanation:

all working is above

hope thats of help

The y- intercept is 3.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

18x−6y=12

Writing the above equation in slope- intercept form

6y = 18x - 12

y= 18x /6 - 12/ 6

y= 3x - 2.

So, the slope of perpendicular line is -1/3 and passes through (6, 1)

y= mx+ c

1 = -1/3 (6) + c

1 = -2 + c

c= 3

Hence, the y- intercept is 3.

Learn more about slope here:

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– 3(4^2) step by step pls

Answers

Answer:

The answer is -48

Step-by-step explanation:

First step is to follow PEMDAS

So we start solving whatever is in the ( )

4^2 is in the ( ) 4^2 = 16 then we multiply

-3 * 16 which is -48

-

The deli at the local grocery store sells chicken for $3.80 per pound, beef for $3.50 per pound, and salami for $2.90 per pound. Write an expression that shows how much it will cost to buy c pounds of​ chicken, b pounds of​ beef, and s pounds of salami.​
Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef and s pounds of salami

Then, find the cost for 1 pound of​ chicken, 1.8 pounds of​ beef, and 3.2 pounds of salami.
The cost of 1 pound of​ chicken, 1.8 pounds of​ beef, and 3.2 pounds of salami is ​$_

Answers

Answer:3.8c+3.5b+2.9s=total cost 19.38$

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

Solve for x:
5/8=X-1/9

Answers

Answer:

x=5/8+1/9

x=53/72

......

Answer:

53/72 you didn't give me the answer choices but this is the exact form of this equation

Tiya earns $7 an hour mowing her neighbor's lawn.

Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)

Part B: List three ordered pairs to show the values of the two variables. (3 points)

Part C: Write an equation to represent the relationship between the two variables. (3 points)

Answers

Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.

Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.

Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.

The variables are:

x = number of hours that she worksy = how much she gets paid.

And the proportional relation that relates them is:

y = $7*X

How to define variables?

The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.

The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.

How to get ordered pairs?

The ordered pairs are of the form (number of hours, money).

Some examples for this case are:

(0 hours, $0)(1 hour, $7)(2 hours, $14).

How to get the equation?

We define the variables.

x = number of hours that she worksy = how much she gets paid.

Because she wins $7 per hour, the proportional equation will be:

y = $7*x

If you want to learn more about proportional equations, you can read:

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Plz help 27 pt this is getting graded plz plz Plz

Answers

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2

1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed with a mean of 3.22 and a standard deviation of 0.84. Find the price that is two standard deviations above the mean price.

Answers

Answer:

The price that is two standard deviations above the mean price is 4.90.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.22 and a standard deviation of 0.84.

This means that [tex]\mu = 3.22, \sigma = 0.84[/tex]

Find the price that is two standard deviations above the mean price.

This is X when Z = 2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2 = \frac{X - 3.22}{0.84}[/tex]

[tex]X - 3.22 = 2*0.84[/tex]

[tex]X = 4.9[/tex]

The price that is two standard deviations above the mean price is 4.90.


El doble de un número aumentado en 8 es -24. ¿Cuál es el número?

Answers

Answer:

La respusta es 16

Step-by-step explanation:

8x2=16

16+8=24

I hope this helps!!

The window has the shape of a kite. How many square meters of glass were used to make the window?

Answers

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Which elements present the whole? a. percentage b. base c. rate d. both a and b

Answers

1. Base presents the whole number

❤️#CARRYONLEARNING ❤️

What is 4h when h=25?

Answers

Answer:

100

Step-by-step explanation:

When h has the value 25, the expression 4h has the value 4(25), or 100.

Answer:

100

Step-by-step explanation:

4(25)=100

Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters

Answers

Answer:8.5 Step by step: 15.8x9.2x8.5=1235.56

PLEASE HELP WITH THIS I FEEL SO EMBARRASSED BECAUSE I HAVE TO STAY AFTER CLASS AND DO THIS

ILL GIVE BRAINLY

Answers

For most questions asking for the area of a part of a figure, you first have to find the area of the figure then divide to get the part. Because the water level is 2/3 up, we can divide by 3 and that would make it the needed 1/3.

Volume of a rectangular prism: L*W*H

3 3/4 * 3 3/8 * 13 1/3

Becomes

168 3/4

Then divide by 3

56 1/4

or

56.25

Answer:

v = 56.25ft³

Step-by-step explanation:

Total volume

v = 3 3/4 * 13 1/3 * 3 3/8

v = 15/4 * 40/3 * 27/8

v = 16200 / 96

1/3 without water

v = (16200 / 96) * (1/3)

v = 16200 / 288

v = 56.25ft³

What is the degree?

6−n

2

+5n

3

Answers

Polynomial Degree:
3
3
Leading Term:
5
n
3
5
n
3
Leading Coefficient:
5

I also need help with these

Answers

Answer:

Triangles = 4

Rectangles = 2

Step-by-step explanation:

Triangle.

8/2 = 4 . ratio = 4:1 or fraction form as 4

Rectangle.

4/2 = 2. ratio = 2:1 or fraction form as 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The probability of picking a quarter from a jar of coins is 0.125. If Cindy has 280 coins in the jar, how many quarters are in the jar?

Answers

Answer:

35

Step-by-step explanation:

Please answer 15 points if answered !

Answers

Answer:

c) 108

Step-by-step explanation:

All angles of a regular polygon are the same.

It’s answer C. 108
Have a nice day

what does proportion mean in algebra when dealing with graphs

Answers

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc

Please help with my hw I cannot figure this out

Answers

Answer:

K 1 k'1

J2 j'5

L,0 l'5

Step-by-step explanation:

jennifer is trying to save up for emergency fund of 3000. which saving strategy would likely be most effective in helping her meet her goal

Answers

Answer:

Save money by a job

Step-by-step explanation:

She can help peoplw, oe get a small job and save up :)

the inequality question pls. my teacher hasn’t covered it in class yet but assigned this

Answers

Answer:

x>5

Step-by-step explanation:

Answer: the answer is > 3

                                     

round off to the nearest 1000
544
4321
10675​

Answers

544 = 1000

4321 = 4000

10675 = 11000

I hope I helped! :)

544:1000

4321:4000

10675:11000

College Math! Calculus!!!

Answers

Answer:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]

Step-by-step explanation:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]

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