Each of the following statements is true or false. Which statements are true?

A. A triangle where at least two angles are acute is called an acute triangle.
B. Some polygons are neither convex nor concave.
C. The sum of the interior angles of a concave pentagon is $540^{\circ}.$
D. The interior angles of a regular $1000$-gon are greater than the interior angles of a regular $100$-gon.
E. The exterior angles of a regular $1000$-gon are greater than the exterior angles of a regular $100$-gon.

Type your answer as an list, separated by commas. For example, if you believe statements A, C, and D are true, type A, C, D.

Answers

Answer 1

Answer:

B,D

Step-by-step explanation:

Answer 2

The true statements are given below.

The sum of the interior angles of a concave pentagon is $540^{\circ}.$The interior angles of a regular $1000$-gon are greater than the interior angles of a regular $100$-gon.

Why does the Pentagon have 5 sides?

The land the Pentagon become first planned to head on become bordered on 5 aspects through roads, so the architects designed a five-sided building.

What is the Pentagon shape?

A pentagon is a geometrical form, which has 5 facets and five angles. here, “Penta” denotes five, and “gon” denotes attitude. The pentagon is one of the forms of polygons. The sum of all the indoor angles for a normal pentagon is 540 ranges.

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Related Questions

Solve for x in this equation 2(x-8)=14

Answers

Answer:

x = 15

Step-by-step explanation:

2(x - 8) = 14

Use distributive property

2x - 16 = 14

2x = 30

x = 15

Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The balls height (in meters above ground), x seconds after Antoine threw it, is modeled by: h(x) = 2x^2+4x+16
What is the height of the ball at the time it is thrown?

Answers

Answer:

16 meters

Step-by-step explanation:

when the ball is thrown, the initial time is 0 seconds.  Therefore, x =0.  

h(0) = 2(0)^2 +4(0) + 16

h(0) = 16

the height of the ball at the time it is thrown is 16 meters.

Answer:

16 meters

Step-by-step explanation:

Got it right on khan

17.
Your gross income is
$4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%),
and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income.
You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25%
APR and the rest in a regular savings account at a 3.8% APR. How much is in the savings
account?
$1,777.10
$1,222.10
$1,969.55

Answers

Answer:

1,969.55 is the answer

49.5 is what percent of 30?

Answers

165% I really hope it helps !!

Answer:

165 %

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 30, so we can write it down as 100%=30.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=30

2) x%=49.5

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=30/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 30

100%/x%=30/49.5

(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x

100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x

100/0.60606060606061=x

165=x

x=165

now we have:

49.5 is 165% of 30

Please can I get brainliest I worked hard for you

Hope I helped you

If 6 + x + y = 20 and x + y = k, then 20 - k =

Answers

Answer:

6

Step-by-step explanation:

6 + x + y = 20

Subtract 6 from each side

x+y = 20-6

x+y = 14

x + y = k

14 = k

we want to find 20 -k

20 - 14

6

Answer:6

Step-by-step explanation:

Find the perimeter of the stage shaped like a semi-circle (shown below), rounded to the nearest tenth of a foot.
20 ft
82.8 ft.
31.4 ft.
51.4 ft
62.8 ft.

Answers

Step-by-step explanation:

Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form

Let's assume d is the diameter of the circle

=> the perimeter of the circle is: dπ

=> the perimeter of the half arc of a circle

= 1/2 perimeter of the circle

= 1/2dπ

Hence, the perimeter of the stage shaped like a semi-circle:

=  the perimeter of the half arc of a circle + the diameter

=  1/2dπ + d

= 3/2dπ

Just substitute d into the above expression, you will find out the answer.

Hope it will find you well.

a bridge will be supported by 16 cylindrical concrete supports, each of which has a height of 12 meters and a circumference of 7 meters. how much concrete will be needed to support the bridge

Answers

Answer:

you need 4 bricks

Step-by-step explanation:

Answer:748.66 cubic centimeters

Step-by-step explanation: don’t have it



In circle C, what is mArc F H?


31°

48°

112°

121°

Answers

Answer:

B. 48

Step-by-step explanation:

just took the test <3

Answer:

mArc FH = 48

Step-by-step explanation:

Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), donde los goles anotados por el equipo en cada línea son: portero 1 gol, defensas 11 goles, medios 15 goles y delanteros 23. Supongamos que en un partido se gana por un gol. ¿Qué probabilidad hay de que este fuera anotado (a) por la defensa, (b) por los medios y (c) por los delanteros?

Answers

Answer:

According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.

So, each probability can be found by using standard probabilities

[tex]P=\frac{events}{total outcomes}[/tex]

(a) Defense

[tex]P=\frac{11}{50} \approx 0.22[/tex]

Therefore, the defense has a probability of 22% of score that goal.

(b) Midfielders

[tex]P=\frac{15}{50} \approx 0.30[/tex]

Therefore, midfielders have a probability of 30% of scoring that goal.

(c) Strikers.

[tex]P=\frac{23}{50} \approx 0.46[/tex]

Therefore, strikers have a probability of 46% of scoring that goal.

Para resolver correctamente el ejercicio debemos tener en cuenta el numero de casos favorables sobre el numero total de casos posibles; el numero de casos favorables corresponde a la proporción de goles por cada linea,lo que quiere decir que son el numero de goles por cada linea según los datos que da el ejercicio.

El numero total de casos posibles corresponde al valor total de los goles por todo el equipo  (1+11+15+23=50)

Ahora para calcular las probabilidades debemos hacer lo siguiente:

Para hallar la probabilidad de que fuera anotado un gol por la defensa debemos dividir el numero de goles posibles sobre el total de casos posibles;

                P=[tex]\frac{11}{50}[/tex] =0.22 ×100=22%; ( la probabilidad de que anoten un gol las defensas es del 22%.

Para hallar la probabilidad de que fuera anotado por los medios debemos dividir el numero de goles posibles sobre el total de casos posibles;

                     P=[tex]\frac{15}{50}[/tex]=0.3 ×100=30% (La probabilidad de que anoten un gol los medios es del 30%

Para hallar la probabilidad de que fuera anotado por los delanteros debemos dividir el numero de goles posibles sobre el total de casos posibles;

                              P=[tex]\frac{23}{50}[/tex]=0.46×100=46%; (La probabilidad de que anoten un gol los delanteros es del 46%)

Como conclusión podemos decir que hay una mayor probabilidad de que los delanteros puedan anotar ese único gol que les permita ganar el partido pues el numero de casos posibles es mayor comparado con las otras lineas del equipo.

Si deseas mas información sobre el tema de las probabilidades puedes dirigirte a este enlace;

https://brainly.com/question/18455475

G
If f(x) = 6x – 4, what is f(x) when x = 8?

Answers

Answer: f(x)=44

Step-by-step explanation:

Since x is given, we can directly plug it into our function.

[tex]f(8)=6(8)-4[/tex]

[tex]f(8)=48-4[/tex]

[tex]f(8)=44[/tex]

can you help me?? you can just read the picture i took in the bottom

Answers

Answer: The answer is in the steps

Step-by-step explanation:

M                h

15               40

20              45

25               50

30                55

7.987 ot the tenths place

Answers

Answer:

If your were rounding 7.987 to the tenths place, you would get 8.

To round to the tenths place, you are trying to make the number enda tthe tenths place.

You are rounding the 9 in the tenths place, so look at the hundredths place. Since 8 is larger than 5, round the 9 up to 10.

We can't write 7.10 because that is a different number, so add the 1 to the 7 to get 8.

The final answer would be 8.0 or just 8.

–713 = 31u solve for u

Answers

Answer:

U=-23

Step-by-step explanation:

-713=13u

-713/13=-23

Describe how to regroup to solve the subtraction problem below what is the difference 456-238

Answers

Answer:

218

Step-by-step explanation:

456 - 238 =

Borrow 1 from 5 so number is 4 4  16 - 238=

16-8 = 8 in ones' place

4 - 3 = 1 in tens' place

4 - 2 = 2 in hundreds' place

The difference between 456 and 238 is 218.

To regroup and solve the subtraction problem 456 - 238, you can follow these steps:

1. Begin by writing down the two numbers vertically, with the larger number (456) on top and the smaller number (238) below it:

     456

   - 238

2. Start by subtracting the ones (or units) column.

Since 6 is larger than 8, you need to regroup.

Borrow 1 ten from the tens column of 5. This will make the 5 in the tens column become 4, and you add the borrowed ten to the ones column. So, the subtraction becomes 16 - 8, which equals 8:

     456

   - 238

   -------

      8

3. Next, move to the tens column.

Subtract 4 (the regrouped value) from 5, which equals 1:

     456

   - 238

   -------

    1  8

4. Finally, subtract the hundreds column. Subtract 2 from 4, which equals 2:

     456

   - 238

   -------

   2 1  8

Therefore, the difference between 456 and 238 is 218.

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Explain a reason how to find the answer to 0.3 -0.006

Answers

Answer: 0.2994

Step-by-step explanation: I subtracted them and got the answer

Eight more than the number of children is 24.

Answers

Answer:

c+8 = 24

16 children

Step-by-step explanation:

Let c = number of children

8 more than

c+8

is means equals

c+8 = 24

Subtract 8 from each side

c+8-8 = 24-8

c = 16

Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with number 10 appear?

Answers

Hey there!

We have 10 pieces of paper. The probability of drawing a 10 is 1/10.  Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)

I hope that this helps! Have an awesome day!

What’s the correct answer for this?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

Have A Nice Day ❤    

Stay Brainly! ヅ    

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A hat contains 5 balls. The balls are numbered 1, 2, 4, 7, and 8. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the 2 balls are added together. A fair decision is to be made about which one of two restaurants to eat at, using the sum of the numbers on the balls.
The restaurant options are Joe's Place or Taco Towne.
Which description accurately explains how a fair decision can be made in this situation?

a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
b) If the sum of the balls is less than 10, eat at Joe's Place. If the sum of the balls is 10 or more, eat at Taco Towne.
c) If the sum of the balls is even, eat at Joe's Place. If the sum of the balls is odd, eat at Taco Towne.
d) If the sum of the balls is a multiple of 3, eat at Joe's Place. If the sum is not a multiple of 3, eat at Taco Towne.

Answers

Answer:

a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.

Step-by-step explanation:

The sum table can be represented as :

           1       2      4      7      8

1           X     3       5      8      9

2           3     X       6      9    10

4           5      6      X      11     12

7           8      9       11     X      15

8           9      10      12    15     X

The Probability sum  is a factor of 30 = P(sum is  3, 5, 6, 10, 15)

= [tex]\dfrac{2}{20} +\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}[/tex]

= [tex]\dfrac{10}{20}[/tex]

= [tex]\dfrac{1}{2}[/tex]

The Probability sum less than 10 = P(sum is 3,5,8,9,6)

= [tex]\dfrac{2+2+2+4+2}{20}[/tex]

= [tex]\dfrac{3}{5}[/tex]

The probability sum is even = P( sum is 6,8,10, 12)

= [tex]\dfrac{2+2+2+2}{20}[/tex]

= [tex]\dfrac{8}{20}[/tex]

= [tex]\dfrac{2}{5}[/tex]

The probability sum is a multiple of 3 = P( sum is 3,6,9,12,15)

= [tex]\dfrac{12}{20}[/tex]

= [tex]\dfrac{3}{5}[/tex]

since the probability that is the sum of the ball is a factor of 30 is [tex]\dfrac{1}{2}[/tex] , Thus, the probability that the sum is not a factor of 30 will also be [tex]\dfrac{1}{2}[/tex] . Thus; the description that  accurately explains how a fair decision can be made in this situation is option A.

a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.

What is the descriminant of 3x^2-10x=-2

Answers

Answer:

The discriminant of 3x^2-10x=-2 is 76

Step-by-step explanation:

3x^2-10x+2=0

Where a = 3, b = -10, and c = 2

The discriminant of 3x^2-10x=-2 is 76

Answer: 76

Hope this helps.

Marti sells tacos and burritos from a food truck at the farmers market. She sells burritos for $3.50 each and tacos for $2.00 each. She hopes to earn at least $120 at the farmers' market this Saturday.

Let x equal the number of burritos that Marti sells, and let y equal the number of tacos that Marti sells. Select the linear inequality that represents the solution to this problem.

Question 4 options:

3.5x + 2y ≤ 120


3.5x + 2y ≥ 120


3.5(x + y) > 120


2x + 3.5y ≤ 120

Answers

Answer:

450.00

Step-by-step explanation:

Mercury is 36 million miles
way from the sun. Venus
672 million miles from
the sun what is the
difference in distance​

Answers

Answer:

636 million miles.

Step-by-step explanation:

672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).

Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.

Can someone Please help me ???
If you can help me ill give you 20 points and brainliest :)

Answers

First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!

A bag contains 5 balls: 3 blue, 1 red, and 1 yellow. You select a ball at random 4 times, replacing the ball after each selection. Calculate the theoretical probability of getting a blue ball exactly 3 times

Answers

Answer:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:

[tex]X \sim Binom(n=4, p=3/10)[/tex]

The probability is always the same since we replace the ball selected in each trial.

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

PLEASE HELP ME....which is the unit rate​

Answers

Answer:

i think it is the first one

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. Examples include 8 / 4 = 2 and 3 / 6 = 0.5

Which statement is true about the Internet connection cost?

It costs $5 per hour to connect to the Internet at the gaming store,

The first half hour is free, and then it costs $5 per minute to connect to the Internet,

It costs $10 for each 90 minutes spent connected to the Internet at the gaming store,

Any amount of time over an hour and a half would cost $10,

Mark this and retum

Save and Exit

I

Next

Nox

Sub

Answers

The question is incomplete:

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.  The function f(t) is attached.

Which statement is true about the Internet connection cost?

It costs $5 per hour to connect to the Internet at the gaming store,

The first half hour is free, and then it costs $5 per minute to connect to the Internet,

It costs $10 for each 90 minutes spent connected to the Internet at the gaming store,

Any amount of time over an hour and a half would cost $10,

Answer:

Any amount of time over an hour and a half would cost $10.

Step-by-step explanation:

-It costs $5 per hour to connect to the Internet at the gaming store. False, if you connect between 31 and 90 minutes it costs $5 but it is not a per hour cost.

-The first half hour is free, and then it costs $5 per minute to connect to the Internet. False, the first half hour is free and it costs $5 when you spent connected more than 30 minutes and less or equal 90 minutes.

-It costs $10 for each 90 minutes spent connected to the Internet at the gaming store. False, according to the function 90 minutes cost $5 and if you spend more than 90 minutes, it costs $10.

-Any amount of time over an hour and a half would cost $10. True. An hour and a half is equal to 90 minutes and according to the function, if you spent more than 90 minutes connected, it costs $10.

According to this, the statement that is true about the Internet connection cost is: Any amount of time over an hour and a half would cost $10.

Answer:

C

Step-by-step explanation:

A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.​

Answers

Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

[tex]30 \div 5 = 6[/tex]

[tex]6 \times 3 = 18[/tex]

Hope this helped:)

Answer:

18 napkins

Step-by-step explanation:

Television sizes are labeled by the measure of the diagonal. What size is the TV below?

Answers

Answer:

55 inches.

Step-by-step explanation:

So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;

(1). "Television sizes are labeled by the measure of the diagonal.''

(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;

Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].

Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.

Approximately:

The Size of the Television = 55 inches.

Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata​

Answers

Recall the double angle identity:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

With [tex]\theta[/tex] measuring between 0º and 90º, we know [tex]\cos\theta>0[/tex]. So from the Pythagorean identity, we get

[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5[/tex]

Then

[tex]\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}[/tex]

Answer:

C

Step-by-step explanation:

Edge2021

According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.


Required:

Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?

Answers

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

[tex]\hat p=\frac{X}{n}=\frac{162}{462}=0.351[/tex]

The z-critical value for 95% confidence interval is:

[tex]z_{0.025}=1.96[/tex]

Compute the sample size required as follows:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188[/tex]

Thus, the sample size required is 2188.

Other Questions
What is the next step after using the distributiveproperty? Please help me. Quickly!!! The effects of experimental driving, recreational drinking and alcohol abuse are all How do wetlands reduce flooding and erosion? (Site 1) The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________. Do anybody know this answer if so help me please "She was a large woman with a large purse that had everything in it but hammer and nails." 1. ______ This quote gives us details about: a. Setting b. Conflict c. Character d. Point of view Why does the author most likely include this information in the article? pls check the attachment thank you What is supply-side fiscal polioy? Identify each policy action as being focused on the demand side, the supply side, or both. Drag each item on the left to its matching item on the right. Note that every item may not have a match, while some items may have more than one match. 1. research grants for a corporation developing new technologies 2. government-funded scholarships for college students both demand side supply side 3. stimulus packages for firms that are "too big to fail" 4. increasing spending on "shovel-ready" projects 5. lowering income tax rates at all income levels Which of the following graphs corresponds to the function y = x+2 / x-3 ? Graph A Graph B Graph CGraph D write an expression,using an exponent,that is equivalent to 66666 Write an equation in standard form of the line that passes through (1, 3) and has a slope of 4. x(a-b)=b(c-x)make x the subject of the formular pls help meee Cul es el mejor?Instrucciones: Look at the images, the first of the school cafeteria (la cafeteria de la escuela)and the second of a downtown restaurant (el restaurante del centro) Write 6 comparisonstatements (in total), try to include comparisons of equality and inequalityCafetera de la escuelaRestaurante El SalmnEjemplos:Equality: El restaurante El Salmn tiene tanta comida como la cafeteria de la escuela.Inequality: La cafetera de la escuela es menos elegante que el restaurante El Salmn.Schools almost ending i need help wit ts ill give brainly You are working at the fun fair and are in charge of buying prizes for your game. You know that the game has a 7/10 chance of winning. Suppose 300 people play. How many prizes should you purchase?150 prizes210 prizes300 prizesNone of theseNEED HELPP One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?. haaaaaaaaaaaaaaaaaaaaalllllllp plz In Act II of Macbeth, how does Macbeth change after Duncans murder?1. He grows increasingly proud of his actions.2. He is aggressive and threatens anyone who questions him.3. He no longer needs encouragement to kill someone in cold blood.4. He is no longer willing to lie to others about himself or his deeds. The sum of two numbers is 39. Their difference is 21. What are the two numbers?