Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.

a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?

Answers

Answer 1

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


Related Questions

HELPPP!!!


John is packing a box that is shaped like a cube and
has an edge that is 15 centimeters long. How much
space is available in the box for John to pack?

Answers

Answer:

810

Step-by-step explanation:

multiply them.  

Your welcome,

. Find the cost of lodging: Four people staying for three nights at a cabin priced at $36.00 per night for two people, plus $3.50 per additional person

Answers

The cost of lodging is $129

Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4


4:3


3:7


7:3

Answers

The correct answer is 3:4

PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
I WILL GIVE BRAINLIEST EVERYONE KEEPS GIVING ME RANDOM LINKS IM CRYIING :( I WOULD BE SO GRATEFUL IF U HELPED UR A LIFE SAVER

Answers

Answer:

11=  21

12= -12

13= -72

14= -1

Step-by-step explanation:

Answer:

11) 21

12) -5

13) 8

14) 9

Step-by-step explanation:

i passed 7th grade (teehee)

in the figure below ABC- XZY

find cosZ, sin Z, tan Z

round your answer to the nearest hundredth

Answers

The magnitude of angle Z include the following:

cosZ = 0.471

sinZ = 0.88

tanZ = 1.875

How to calculate the magnitude of angle Z?

In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.

For cosZ, we would apply the cosine trigonometric ratio as follows;

cosZ = 13.6/28.9

cosZ = 0.4706

Z = cos⁻¹(0.4706)

Z = 61.93°.

For sinZ, we would apply the sine trigonometric ratio as follows;

sinZ = 25.5/28.9

sinZ = 0.8824

Z = sin⁻¹(0.8824)

Z = 118.07.

For tanZ, we would apply the sine trigonometric ratio as follows;

tanZ = 25.5/13.6

tanZ = 1.875

Z = tan⁻¹(1.875)

Z = 61.93.

when can a parallelogram also be a kite?

Answers

9514 1404 393

Answer:

  when it is a rhombus

Step-by-step explanation:

A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.

A parallelogram that is a rhombus will also be a kite.

solve for x. 2x+17+3x = 4+3x+3​

Answers

Answer:

x = -5

Step-by-step explanation:

2x + 17 + 3x = 4 + 3x + 3​

5x + 17 = 3x + 7

5x - 3x = 7 - 17

2x = -10

x = -5

Step-by-step explanation:

5x+17=3x+7

5x-3x=-17+7

2x=-10

x=-5

*can you help me back please

Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer:

 

Step-by-step explanation:

it takes Emma 18 minutes to type 14 pages of a manuscript. find how long it takes her to type 77 pages

Answers

Answer:

99 minutes

Step-by-step explanation:

18/14 = 1.286 minutes per page

1.286 x 77 = 99 minutes

5th grade math. correct answer will be marked brainliest

Answers

Answer:

8

Step-by-step explanation:

4/5 of 10 is 8

4/5*10

Answer:

zack has 8 stamps.

Step-by-step explanation:

total stamps: 10

fifths: 10 divided by 5 = 2

so each part is worth 2 stamps.

so now : 2 x 4 = 8

therefore 8 is answer.

im not wrong

im am a high schooler

now mark me brainlist please.

hope it helps.

Factor the expression -8x 2+ 22x - 15

Answers

3(2x-5) is the answer

Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20

Answers

Answer:

2.50 (b)

Step-by-step explanation:

30 divided by 12 is 2.5 which is equal to 2.50 :)

Answer:

b) 2.50

Step-by-step explanation:

$40 - $10 = $30 spent on popcorn

$30/12 = $2.50 per bag

HELP PLEASE!!! LOOK AG PICTURE -which table represents a quadratic function? justify your answer

Answers

Answer:

table two

Step-by-step explanation:

The increase rate for table one is constant that's why it is a linear function

In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.

1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16

Answers

Answer:

it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1

Step-by-step explanation:

I guess that's the right answer

Graph the line.
Y= 4/3 x

Answers

Answer:

hope this helps :)

Step-by-step explanation:

What is the expected value when rolling a fair 12-sided die?

Answers

Answer:

I think 1/12

Step-by-step explanation:

since the question didn't specifically the possibility of a certain number shown.

note this applies to probability related questions

meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the center of the radar screen is the origin and each ring is 10 miles farther from the center, what is the equation of the fourth ring

Answers

Answer:

[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]  

Step-by-step explanation:

It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.

The origin of the radar screen is its center.

And the distance between each ring is 10 miles from the center.

So let :

r = radius

h and k = be the coordinates of the center.

So the equation of a circle is :

[tex]$(x-h)^2+(y-k)^2= r^2 $[/tex]

Now the equation of the fourth circle when the radius changes by 10 miles is :

[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]  

Help please and why

Answers

A hopes that helps
Because with you divided 16 1.25

7.3 Times 10 to the power of two

Answers

Answer: the answer is 730

Step-by-step explanation:

Hope this helps you! Have a good day! :)

It’s real simple just answer it

Answers

Answer:

-6 and negative 1 with the bio

Step-by-step explanation:

-6 and -1 Would be the answer

for each of the following find the missing sides

Answers

Answer:

the missing side is 90 because is a right triangle

Which method of calculating finance charge results in the lowest finance charge? a. average daily balance b. previous balance c. ending balance d. adjusted balance Please select the best answer from the choices provided A B C D

Answers

Answer: D

Step-by-step explanation:

adjusted balance

Answer:

above is correct

Step-by-step explanation:

d

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk

Answers

Answer: 0.59

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is 0.59.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of visitors = 126+228+34 = 388

Total number of visitors who purchased exactly one costume = 228

The probability = 228/388 = 0.587 ≈ 0.59

Thus, the probability that the next person will purchase exactly one costume is 0.59.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Luke's answer makes sense or is nonsense.His model is correct or incorrect. There are [blank] not 3 inches, in a foot.

Answers

Luke’s answer is nonsense. His model is incorrect. There are 12 inches, not 3 inches, in a foot.

12x^3-8x^2-32x factoring

Answers

Answer:

= 4x (3x+4) (x−2)

Step-by-step explanation:

12x^3−8x^2−32x

= 4x (3x+4) (x−2)

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?

ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint

Answers

Answer:

32 Paintings

Step-by-step explanation:

8 Bottles 4 per one bottle so 8x4 =32

Hoped this helped.

If your weekly salary is $1780 and taxes takes out $440, then what percent do you pay in taxes?
Round your answer to 1 decimal place.

Answers

Answer:

24.7

Step-by-step explanation:

If your weekly salary is $1780 and taxes takes out $440, then 24.7% you pay in taxes.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the weekly salary is One thousand seven hundred and eighty $1780.

Taxes takes out is four hundred and forty $440.

We need to find the percent of tax we have paid.

This can be found by as below.

1780x=440

Divide both sides by 1780

x=440/1780

x=0.247

Now multiply with 100 as it is a hundredth part

0.247×100=24.7%

Hence, 24.7% is the percentage of tax we have paid.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28​

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use

Answers

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]

What number of minutes should the advertisement use?

The values of x for which:

[tex]P(X > x) = 0.01[/tex]

So

[tex]e^{-\mu x} = 0.01[/tex]

[tex]e^{-0.2857x} = 0.01[/tex]

[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]

[tex]-0.2857x = \ln{0.01}[/tex]

[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]

[tex]x = 16.12[/tex]

Rounding to the nearest number, the advertisement should use 16 minutes.

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