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
pentagon [3]
3 years ago
13

A survey of 100 college students who frequent the reading lounge of a university revealed the following results: 41 read Time. 3

4 read Newsweek. 28 read U.S. News & World Report. 16 read Time and Newsweek. 13 read Time and U.S. News & World Report. 12 read Newsweek and U.S. News & World Report. 5 read all three magazines. How many of the students surveyed read none of these magazines?
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer: 33students

Step-by-step explanation:

Using set notation;

Let n(U) be total students = 100

n(T) be those that read Time = 41

n(N) be those that read Newsweek=34

n(R) be those that read U.S. News & World Report =28.

n(TnN) for readers of Time and Newsweek = 16.

n(TnR) for readers of Time and Newsweek = 13

n(NnR) for readers of Newsweek and U.S. News & World Report. =12

n(TnNnR) for readers of all three magazines. =5

n(TuNnuR)' for those that read none of the magazines=x

Using the equation in set,

n(TuNuR)' = n(T)+n(N)+n(R)-n(TnN)-n(TnR)-n(NnR)+n(TnNnR)

41+34+28-16-13-12+5= 33

Therefore 33students read none of the magazines.

Note that 'u' means union and 'n' means intersection.

Thank you!

You might be interested in
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The comp
Alborosie

Answer:

The second graph is correct for this function.

Step-by-step explanation:

The company made combined profits of $40 million after 4 years. The profits increased $30 million per year.

Therefore the rate of change of profit function is 30 and the graph of profit function passing through the point (4,40).

Point slope of a linear function is

y-y_1=m(x-x_1)

y-40=30(x-4)

y-40=30x-120

Add 40 both sides.

y=30x-80

Therefore the profit function is defined as

y=30x-80

Put x=0

y=30(0)-80

y=-80

Therefore y-intercept of function is -80. So, second graph is correct for this function.

Y-intercept of first graph is positive and y-intercept of third and fourth graph  are more that -50, therefore option 1, 3 and 4 are incorrect.

3 0
3 years ago
Read 2 more answers
Can you guys show me the proper steps for this ?
malfutka [58]

Answer:

C+11/c+9

Step-by-step explanation:

3c+33/3c+18 = c+11 / c+6

C^2+17c +66 = (c+6)(c+11)

C^2 +20c+99 = (c+11)(c+9)

So the given question becomes

{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}

= c+11 /c+9

5 0
3 years ago
It’s Unit 4 lesson 2 part 1(HSG.C.A.2, HSG.C.A.3) Angle relationships circles Quiz
Alecsey [184]

Answer:

Is it 75

Step-by-step explanation:

5 0
3 years ago
Can someone help me with this problem?
Shalnov [3]

I got k ≥ -7. Hope this helps!


4 0
4 years ago
For which equation does it make the most sense to solve by completing the square?
daser333 [38]

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

1). x²+20x=52

Rewriting it as  x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.

2). 5x² + 3x = 9

This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.

3.) x² −8=1

This equation can be rearranged as  x²=9

Hence x= ±3

This binomial expression is a perfect square and can be done by the square method.

4). 3x² −x+17=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.

8 0
4 years ago
Other questions:
  • Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
    8·1 answer
  • Where common multiples between three and five and one and 50
    7·1 answer
  • You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straigh
    5·1 answer
  • PLEASE HELP ASAP
    9·1 answer
  • Given that there is a 23% chance it will rain on any day, what is the probability that it will rain
    14·1 answer
  • To be considered similar, two polygons must have corresponding angles that are equal. true or false
    13·2 answers
  • Find the point slope equation fir the line that passes through the points (-6,24)(5,-31)
    10·1 answer
  • Which of these terms cannot be used to indicate multiplication?
    7·1 answer
  • Set b) P and Q are the subsets of a universal set U. If n (P) n (PU) = 15 %, find (i) n (PUQ (ii) n (PQ) (iii) n (only p) (iv) n
    10·1 answer
  • Probably really easy and I’m just overthinking it but please help me
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!