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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.

To learn more about : handshakes

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Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

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

Answer:

y=17

Please mark me as brainliest.

Answer:

(3, -2)

Step-by-step explanation:

Answer:

6 inches of paper:)!

Step-by-step explanation:

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:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

Answer:

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

Step-by-step explanation:

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

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Step-by-step explanation:

Answer:

Step-by-step explanation:

An axis of symmetry is a line that cuts your graph into two equal parts.  In other words, the graph is symmetric about the line.

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

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)

Similar means angles are the same  

Congruent means angles and sides are the same.

Sail 1 and sail 2 have the same angles but the sides are not the same.

So sail 1 and sail 2 are similar.

Answer:

175..................................

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

Answer:

1. D

2. D

Step-by-step explanation:

First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x

So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.

2. In the equation, she did “1 - 17/ 1 - 20”

This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be

1 - 17/ 20 - 1

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: [tex]\pi[/tex]r^2

r = 4, [tex]\pi[/tex] = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

Answer:

Step-by-step explanation:

3.14*4^2

3.14*16= 50.24

Answer:

A sample of 595 should be obtained.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Estimate of 0.55

This means that [tex]\pi = 0.55[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?

This is n for which M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]

[tex]n = 594.2[/tex]

Rounding up,

A sample of 595 should be obtained.

Answer:

Step-by-step explanation:

Exponential growth

Square and Rectangle

I hope this helps you

Answer:64?

Step-by-step explanation:

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:

D. Maximum when it leaves the ground

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:

10

Step-by-step explanation:

That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.

Numarical form:

47 + 37 = 79

90 - 79 = 11

11 = 10

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Answer:

Step-by-step explanation:

Past: The birds flew away quickly

Present: The geese honk at the passerby

Future: The ducklings will hatch soon

Answer:

[Past] The birds flew away quickly.

[Present] The geese honk at passersby.

[Future] The ducklings will hatch soon.

_______________________________

I can't see the options on the second image.

Answer:

A) 1 Yellow, 2 Blue

B) 2 Yellow, 1 Blue