1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vivado [14]
3 years ago
5

1. The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that m

ake them feel guilty (Los Angeles Times, August 15, 2012). Based on the survey results, there is a .39 probability that a randomly selected person will feel guilty about wasting food and a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a .12 probability that a randomly selected person will feel guilty for both of these reasons.
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

2. Which NCAA college basketball conferences have the higher probability of having a team play in 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, these two conferences have both 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 (to 2 decimals)?

b. What is the probability the SEC will have a team in the championship game (to 2 decimals)?

c. What is the probability the ACC and SEC will both have teams in the championship game (to 2 decimals)?

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 (to 2 decimals)?

e. What is the probability that the championship game will not have a team from one of these two conferences (to 2 decimals)?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Answer:

1.) 0.54 ; 0.46

2.) 0.50 ; 0.40 ; 0.05 ; 0.85 ; 0.15

Step-by-step explanation:

A = feel guilty about wasting food ; P(A) = 0.39

B = feel guilty leaving lights on ; P(B) = 0.27

Probability of feeling guilty for doing both = 0.12

P(AnB) = 0.12

1a.) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

P(AuB) = P(A) + P(B) - P(AnB)

= 0.39 + 0.27 - 0.12

= 0.54

1b.) What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.54

P(AuB)' = 0.46

2.)

n(ACC) = 10

n(SEC) = 8

n(total) = 20

n(ACC n SEC) = 1

a. What is the probability the ACC will have a team in the championship game (to 2 decimals)?

n(ACC) / n(Total) = 10 /20 = 0.50

b. What is the probability the SEC will have a team in the championship game (to 2 decimals)?

n(SEC) / n(Total) = 8/20 = 0.40

c. What is the probability the ACC and SEC will both have teams in the championship game (to 2 decimals)?

1 /20 = 0.05

d.)

P(AuB) = P(A) + P(B) - P(AnB)

= 0.50 + 0.40 - 0.05

= 0.85

e.)

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.85

= 0.15

You might be interested in
Describe how the graphs of square root and cube root functions are similar and how they are different.
Molodets [167]

Answer:

Just as the square root is a number that, when squared, gives the radicand, the cube root is a number that, when cubed, gives the radicand. Cubing a number is the same as taking it to the third power: 23 is 2 cubed, so the cube root of 23 is 2.

Step-by-step explanation:

there i hope you understood

5 0
2 years ago
Read 2 more answers
Which ordered pairs lie on the graph of the exponential function f (x) = 3(0.2)^x
photoshop1234 [79]

The ordered pairs which lie on the graph of the exponential function, f(x) = 3(0.2)^x is; Choice A; (0, 3).

<h3>Ordered pair Solution;</h3>

The given exponential function is;

  • f (x) = 3(0.2)^x

By testing all values; Only the pair; (0, 3) is a solution to the graph of the exponential given.

By testing;

  • f (0) = 3(0.2)⁰.

  • Where, (0.2)⁰ = 1 (from indices).

  • f(0) = 3 × 1 = 3.

Read more on ordered pairs;

brainly.com/question/5754926

4 0
2 years ago
Write the quadratic equation in standard form. What is the value of b 2 - 4ac?
Fittoniya [83]
B^2 - 4ac > 0
2x^2 +7x -1 =0
b =7 a=2 c= -1
b^2 - 4ac = 7^2 - 4*2*(-1)
= 49 + 8
= 57
5 0
3 years ago
A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
STatiana [176]

Answer:

10 outcomes

Step-by-step explanation:

The number of outcomes is the number of marbles in the bag since we are taking out one marble

4+2+1+3 = 10

There are 10 outcomes

7 0
3 years ago
Walking path across the park is represented by the equation Y equals negative 2X -7. A new path will be built perpendicular to t
Genrish500 [490]

here the equation of path is -2x-7=y

let us find slope of this line by using y=mx+b

so slope m=-2

now new path is perpendicular to this path.

product of slopes of perpendiculars is -1

so slope of new path is 1/2

now it passes through (-2,-3) with slope 1/2

using y=mx+b to get value of b

-3=1/2(-2) +b

b=-2

plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as

y=(-1/2) x -2 is the equation of new path

5 0
3 years ago
Other questions:
  • Write the expression as either the sine, cosine, or tangent of a single angle.
    10·1 answer
  • How many centimeters are there in 1.23 x 10 to the negative 6th power
    5·1 answer
  • during the first round of game show, jackson scored 300 points. After the second round,after the second round, his total score w
    7·1 answer
  • What is 55/100 simplified
    11·2 answers
  • The difference between a number divided by 3 and 4 is 21
    15·1 answer
  • Kip is going to meet his family.
    15·1 answer
  • Explain how to find the distance between two integers using the difference
    8·2 answers
  • Statements apply to the expression 8^3 ?check all that apply
    6·1 answer
  • What is the value of the digit 2 in the number 425,611?
    10·2 answers
  • SQUARE ROOT OF 16<br><br>THANKS​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!