which of the following describes the data set? 6,7,11,14,20,30,35

We get : Handshakes = (15*(15-1))/2Handshakes = 105In a meeting with 15 people, there will be 105 handshakes in total

The handshake problem is a classic problem of combinatorial mathematics that gives the number of handshakes in a meeting where each individual shakes hands with each other individual.

The handshake problem can be expressed as follows:In a business meeting, every person at the meeting shakes every other person's hand exactly one time. The total number of 1/2 -n(n-1). - handshakes for n people at the meeting is given by an.

Evaluate a15 and interpret its meaning in the context of this problem. We need to find out the total number of handshakes that take place in a meeting of n people, and the formula for that is given as:Handshakes = (n*(n-1))/2Putting n = 15, .

It's important to keep in mind that this formula assumes that every person shakes hands with every other person exactly once.

If there are any deviations from this rule (e.g. someone doesn't shake hands with everyone, or someone shakes hands with someone else more than once), then the formula may not be accurate.

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12 multiplied by 2.5=30=95. 75-30=65.75

Answer:

Step-by-step explanation:

Problem One

V = pi r^2 h

V = 3.14 * (4/2)^2 * 6

V = 3.14 * 4 * 6

V = 75.36

However, that is not the answer. The answer is 1/3 of that amount.

V1 = 1/3 * 75.36

V1 = 25.12

Problem 2

V= `12 pi

r = 3 feet

Formula

V = 1/3 pi r^2 h

12* pi = 1/3 * pi * 3^2 * h      Cancel the pi s.

12 = 1/3 * 9 * h

12 = 3 h                                Divide by 3

12/3 = h

h = 4

Answer:

2:5 i THINK

Step-by-step explanation:

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57

Answer:

A)P(ACC has a team in the championship game) = 0.5

B)P(SEC has a team in the championship game) = 0.4

C)P(both ACC & SEC having teams in the championship games) = 0.05

D)P(ACC or SEC) = 0.85

E)P(not ACC or SEC) = 0.15

Step-by-step explanation:

A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.

Thus;

P(ACC has a team in the championship game) = 10/20 = 0.5

B) SEC has a team in the championship game 8 times in the last 20 years;

Thus;

P(SEC has a team in the championship game) = 8/20 = 0.4

C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;

P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05

D) Addition rule of probability is that;

P(A or B) = P(A) + P(B) - P(A & B)

Applying it to this question, we have;

P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)

Plugging in the relevant values, we have;

P(ACC or SEC) = 0.5 + 0.4 - 0.05

P(ACC or SEC) = 0.85

E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.

Thus;

P(ACC not SEC) = 1 - P(ACC or SEC)

P(ACC not SEC) = 1 - 0.85

P(ACC not SEC) = 0.15

The measure of the intercepted arc PS in the circle is 80 degrees.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

From the diagram:

Inscribed angle R = 40 degrees

Intercepted arc PS = ?

Plug the given value into the above formula and solve for arc PS.

Inscribed angle = 1/2 × intercepted arc.

40 = 1/2 × intercepted arc PS

Intercepted arc PS = 40 × 2

Intercepted arc PS = 80°

Therefore, arc PS measure 80 degrees.

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Answer:

B

Step-by-step explanation:

12, 15, 15, 17, 19, 19, 20, 22, 24

The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

Which data set could be represented by the box plot shown is to be determined.

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.

A number line is defined as a line is a horizontal line that has equally distributed number offsets. The numbers contained on the line will determine, the number on the line that can be answered. The query that reaches the numeral resolves how it will be used, eg, planning a point.

Since the box only represent the data set of the interval of its length,
so from 12 to 24 on the number line is a set of values that are represented by the box.

Thus, The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

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Answer:

(3, -2)

Step-by-step explanation:

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

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Answer:

87

Step-by-step explanation:

Answer: 10:00 AM

This is the answer, and it’s correct. I did this problem and it’s 10:00 AM

Answer:

46

Step-by-step explanation:

Given :

Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8

Mean, m = 60

Standard deviation, s = 17

Zscore = (x - mean) / standard deviation

Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8

Using a Z probability calculator ;

The Zscore = -0.842

Therefore to Obtian the score, x

Zscore = (x - mean) / standard deviation

-0.842 = (x - 60) / 17

-0.842 * 17 = (x - 60)

-14.314 = x - 60

-14.314 + 60 = x

x = 45.686

To secure a second interview, candidate must score, 46 (nearest whole number).

The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.

Given :

Let 'x' be the mark must a candidate achieve in order to secure a second interview.

So, through the z-score formula, the value of 'x' can be determined.

[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]

[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]

[tex]17\times -0.842 = x - 60[/tex]

x = 60 - 14.314

x = 45.686

So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.

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Answer:

64

Step-by-step explanation:

Volume of one sugar cube = 1x1x1= 1cm³

Volume of dish = 4x4x4 = 64cm³

Divide volume of dish by volume of one cube to find out how many can fit:

64/1 = 64

Answer:

y = -1/4x - 5/2

Step-by-step explanation:

-2- -4 /-1-7 = 2/-8 = -1/4

y+2 = -1/4(x+2)

y+2 = -1/4x - 1/2

y = -1/4x -5/2

Answer:

The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"

Step-by-step explanation:

Given values:

[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]

Using formula:

[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]

Put the values in the above formula:

[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]

Answer:

[tex]y=1.225[/tex]

Step-by-step explanation:

[tex]24y+0.2=29.6[/tex]

Subtract 0.2 from both sides:

[tex]24y+0.2-0.2=29.6-0.2\\24y=29.4[/tex]

Divide both sides by 24:

[tex]\frac{24y}{24} =\frac{29.4}{24} \\y = 1.225[/tex]

y = 1.225 is your final answer.

Answer:

6 inches of paper:)!

Step-by-step explanation:

Answer:

180 inches ^2

Step-by-step explanation:

12 x 15 = 180

also i like your profile

Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

Answer:

5y-y= 5? I don’t know  I’m not totally sure.

Step-by-step explanation:

Answer:64?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential growth

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

Answer:

56°

Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124

Now you subtract 124 from 180 and then you get 56

So the answer would be 56° :)

Answer:

(0,8)

Step-by-step explanation:

-7x+4y=32

-10x-4y=-32

-17x=0

x=0

-5×0-2y=-16

y=8

(0,8)

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle

Answer:

1.2%

Step-by-step explanation:

Answer:

220 seconds.

Step-by-step explanation:

55, 110, 165, 220.

20,40,60,80,100,120,140,160,180,200,220.

Both have 220 in common so will cross at 220 seconds at the same time.

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]