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
Scilla [17]
3 years ago
6

In a survey, 672 adults were asked what television programs they had recently watched. The following information was obtained: 2

26 adults watched neither the Big Game nor the New Movie, and 287 watched the New Movie. If 183 of those who watched the New Movie did not watch the Big Game, how many of the surveyed adults watched the following?
a. the Big Game.
b. the Big Game but not the New Movie.
c. at least one program.
d. both programs.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

a. the Big Game = 263

b. the Big Game but not the New Movie = 159

c. at least one program = 446

d. both programs = 104.

Step-by-step explanation:

Given that:

Total adults asked about TV programs, n(U) = 672

Total adults who watch New Movie, n(A) = 287

Let n(B) be the number of adults who watch Big Game.

Total adults who watch New Movie but not Big Game, n(A-B) = 183

As per formula:

n(A-B) = n(A) - n(A \cap B)

Where n(A \cap B) is the number of adults who watch New Movie and Big Game both.

n(A \cap B) = n(A) - n(A-B)

n(A \cap B) = 287 - 183 = 104

<u>Formula:</u>

n(U) = n(A \cup B) + n(A \cup B)'

n(A \cup B) is the number of adults who watch at least one program.

n(A \cup B)' is the number of adults who do not watch any program.

Given that n(A \cup B)' = 226

Putting values in the above formula:

672 = n(A \cup B) + 226

n(A \cup B) = 672 - 226 = 446

<u>Formula:</u>

n(A \cup B) = n(A) + n(B) - n(A \cap B)

446 = 287 + n(B) - 104

n(B) = 446 + 104 - 287

n(B) = 263

The number of adults who watch the Big Game but not the New Movie, <em>n(B - A)</em>

<u>Formula:</u>

n(B - A) = n(B) - n(A \cap B)

n(B - A) = 263 - 104 = 159

So, the number of surveyed adults who watch:

a. the Big Game, n(A) = 263

b. the Big Game but not the New Movie, n(B - A) = 159

c. at least one program, n(A \cup B) = 446

d. both programs, n(A \cap B) = 104.

You might be interested in
Select the order in which the flow of current is listed from greatest to least
noname [10]

Answer:Short circuit, closed circuit, open circuit

8 0
3 years ago
PLZZ HELP 20 POINTS!!
katen-ka-za [31]

Answer:

son 60 puntos ...!!!!!!!!

8 0
2 years ago
Read 2 more answers
To equation solve 8 = h/-3 +19
Naya [18.7K]
8h/3+19
Move all terms to the left
8-(h/3+19)=0
Get rid of parentheses
-h/3-19+8=0
Multiply all terms by denominator
-h-19*3+8*3=0
Add all numbers and variables together
-1h-33=0
Move all terms containing h to the left all other terms to the right
-h=33
h=33/-1
h=-33
6 0
3 years ago
PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0
3 years ago
What are the square roots of 144 over 256
stepladder [879]
Minus 12 over 16 and 12 over 16 

There you go!
8 0
3 years ago
Read 2 more answers
Other questions:
  • The difference between 9 and twice a number x
    10·1 answer
  • There are x giraffes at the zoo. The number of elephants is 4 less than three times the number of giraffes, and there are more t
    11·1 answer
  • Help please! Please put the answers numbered!
    13·1 answer
  • Evaluate the expression.<br> (6 − 3)!
    5·2 answers
  • What is the volume of a prism where the base is a 45-45-90 triangle with a leg of 5 in. when the height is 1.8 in.?
    10·2 answers
  • Noam must share a cash prize equally among 4 winners. If each person receives $125, what is the amount of the prize
    5·2 answers
  • Betsy's mom likes to bake.
    14·2 answers
  • I'll mark you as brainliest​
    12·1 answer
  • A statistics practitioner would like to estimate a population mean to within 50 units with 99% confidence given that the populat
    5·1 answer
  • 6,12,11,8,4,1,11,4 median
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!