Mathematics College

In a certain city, three newspapers A, B, and C are published. Suppose that 60% of the families in the city subscribe to newspaper A, 40% of the families subscribe to newspaper B, and 30% subscribe to newspaper C. Suppose also that 20% of the families subscribe to both A and B, 10% subscribe to both A and C, 20% subscribe to both B and C, and 5% subscribe to all three newspapers. (i) What percentage of the families in the city subscribe to at least one of the three newspapers? (ii)What percentage of the families in the city subscribe to exactly one newspaper?

Answers

Answer 1

Answer:

(i) = 85‬%

(ii) = 30%

Step-by-step explanation:

The question is a probability question.

We will need the following values:

P(A) = 60%

P(B) = 40%

P(C) = 30%

P(AnB) = 20%

p(AnC) = 10%

P(BnC) = 20%

P(AnBnC) = 5%

(i) To determine the percentage of the families in the city that subscribe to at least one of the three newspapers:

P(A) + P(B) + P(C) + P(AnBnC) - P(AnB) - p(AnC) - P(BnC)

= 60% + 40% + 30% + 5% - 20% - 10% - 20%

= 85‬%

(ii) To determine the percentage of the families in the city that subscribe to exactly one newspaper:

P(at least one paper) - p(AnB) - p(AnC) - P(BnC) - P(AnBnC)

= 85‬% - 20% - 10% - 20% - 5%

= 30%

Related Questions

At the market, 8 batteries cost $10,
How much do 6 batteries cost?

Answers

Answer:

$7.50

Step-by-step explanation:

You can use proportions to find that 8/10 = 6/x

then you can multiply 10 by 6 and divide the result by 8 to get the answer.

You can also divide 10 by 8 to get 1.25 and multiply it by 6, as 10 divided by 8 gives you the unit rate, or the price of each battery. Then you multiply it by 6 to get 7.5, or the cost of 6 batteries.

Hope this helps!

A girl is swimming 1 meter below sea level and dives down another .5 meters. How far below sea level is she now?

Answers

Answer:

1.5 meters

Step-by-step explanation:

If she is already below sea level by 1 meter and she goes down .5 meters more, she would be 1.5 meters below the sea level.

Help ASAP!!!!!!!!!!!!!!!! (25 POINTS + BRAINLIEST)

A rectangular prism has a square base with side length s units. It also has the curious property that the numerical value of the sum of its edge lengths (in units) is equal to the numerical value of its surface area (in square units).

If one edge of the prism has length 8 units and s 6= 8, then s can be written in the form a + √b, where a and b are integers. Find a + b.

Answers

This is easy solve it I have simplified this question so you can solve it

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

Step-by-step explanation:

it just is.

Answer:

a sq rt 38

Step-by-step explanation:

a=6.1

b=5.9

c=6.7

d=6.9

a is closet to dot between 6 and 7

How do I rewrite this number in scientific notation 54.8×103

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5.6444 × 10 [tex]x^{3}[/tex]

Step-by-step explanation:

there is your answer i hope this helps you out bud

Answer:

= 5.48 × 104

(scientific notation)

= 5.48e4

(scientific e notation)

= 54.8 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Find the value of an that makes each number sentence true 2/3 x N = 1

Answers

Answer:

1 1/2

Step-by-step explanation:

n= 3/2

Decimal Form:

n= 1.5

Mixed Number Form:

n = 1 1/2

You need 660 mL of a 80% alcohol solution. On hand, you have a 40% alcohol mixture. How much of the 40%
alcohol mixture and pure alcohol will you need to obtain the desired solution?
You will need
mL of the 40% solution
and
mL of pure alcohol.
Submit Question

Answers

Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.

You want to end up with a volume of 660 mL, so

a + b = 660

For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and

0.4a + b = 528

Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :

(a + b) - (0.4a + b) = 660 - 528

0.6a = 132

a = 220

Then

220 + b = 660

b = 440

So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.

Please help me, if correct get brainliest

Answers

Answer:

If I am correct the answer should be graph it !!!! first quadrant

corners

(0,0)

(0,3)

(1.5 , 3.5) intersection

(5,0)

evaluate 6x-4y at those corners

-12

-5

makes sense, need big x and small y :)

Step-by-step explanation:

I apologize if I am incorrect I am only in 7th grade but I am pretty intelligent so please try it out!

NEED HELP ASAP!! which function has a range of y is greater than or equal to 0

Answers

Answer:

Step-by-step explanation:

The third function has a range of y that is greater than or equal to 0.

What is a function?

A function is a kind of rule that, for one input, gives you one output.

For the first function, it contains negative values for y, so it was eliminated.

The second function did not start from zero, so it was eliminated.

The third function obeys the given condition, but the last function contains negative values for y.

Hence, the third function satisfies the condition that y is greater than or equal to 0.

To learn more about function, use the link given below:

https://brainly.com/question/21145944

#SPJ2

What is 8/9 - 1/18? Please put in fraction form.
:)

Answers

Answer:

5/6

Step-by-step explanation:

8/9=16/18

16/18-1/18=15/18

15/18 divided by 3 is 5/6

Answer:

5/6

Step-by-step explanation:

You move right 2 units and left 10 units. You end at (-5, -1). Where did you start?

Answers

Answer:

(-13,-1)

Step-by-step explanation:

Moving right means moving positively on the x-axis

Moving left means moving negatively on the x-axis

Follow the equation backwards using the x-coordinate:

Move left 10 units-- -5-10 = -15

Move right 2 units-- -15+2 = -13

Since the y-coordinate did not change, the point you started at is (-13,-1)

Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?

a. x>250

b. x<_250

c. x>_250

d. x<250

Answers

Answer: x ≥ 250

Step-by-step explanation:

Please help!!!
Given that pentagon ABCDE ≈ pentagon FGHIJ, find the measure of angle 1.

A. 99
B. 100
C. 121
D. Cannot be determined

Answers

the given angle of 1 is 100

The measure of ∠1 is equivalent to 100°.

What is the difference between upward, downward, leftwards and rightwards translation?Upward translation : [k] units = When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation : [k] units = When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation : [k] units = When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation : [k] units = When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right.

Given is that pentagon ABCDE ≈ pentagon FGHIJ.

Since the pentagons are similar, we can say that the corresponding angles will be equal. So, we can write -

∠1 = 100°

Therefore, the measure of ∠1 is equivalent to 100°.

To solve more questions on Graph translations, visit the link below -

brainly.com/question/12802031

#SPJ2

Beth bought 35¢ stamps and 15¢ stamps at the post office. If she purchased 60 stamps at a cost of $17, how many of each kind did she buy?

Answers

Answer:

She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.

Step-by-step explanation:

40 x 0.35 = 14

20 x 0.15 = 3

$14 + $3 = $17

40 ($0.35) + 20 (0.15) = 60 stamps

find the distance between the points E(3,7) and f (6,5)

Answers

Answer:

(2,2)

Step-by-step explanation:

If you graph the points out and count from up or down to left or right, I beleive this is the answer you'll get.

Answer:

3.6056 or square root of 13

Step-by-step explanation:

In the diagram below,Ab and De bisect each other.If f is the midpoint dc, AB=20 and De=12, find the value of FC+CB.Show how you arrived at your answer.

Answers

Answer:

Step-by-step explanation:

AB = 20

DE =12

Since AB and DE bisect each other, therefore:

AC = CB = ½(AB)

AC = CB = ½(20)

AC = CB = 10

Also,

DC = CE = ½(DE)

DC = CE = ½(12)

DC = CE = 6

Since F is the midpoint of DC, therefore:

FC = ½(DC)

FC = ½(6)

FC = 3

Find the value of FC + CB. Plug in the values of FC and CB:

3 + 10 = 13

(3x + 7)
(10x – 22)
What does x equal?

Answers

Answer:

3x+7=10x-22

We simplify the equation to the form, which is simple to understand

3x+7=10x-22

We move all terms containing x to the left and all other terms to the right.

+3x-10x=-22-7

We simplify left and right side of the equation.

-7x=-29

We divide both sides of the equation by -7 to get x.

x=4.14285714286

Answer:

x=15

Step-by-step explanation:

(10x-22)+(3x+7)=180

C) Work out 3/4 × 5 (Give your answer as the simplest mixed fraction).

Answers

Answer: 3 ¾

------------------

Answer:

15/4=3 3/4

Step-by-step explanation:

3 and 3/4 is the awnser

of the 50 students in the cafitera, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.

Answers

So first, start with a ratio.
7:50
7 being those with red hair, to the 50 students.
There are 750 students total, so to get there multiply each side of the ratio by 15.
105:750

Therefore, a prediction you could make is that 105 students have red hair.

Find the value of the expression 30 – 3 2÷ 3 + 8(2).

Answers

Answer:

Step-by-step explanation:

30 - 3x2÷3 + 8x2

= 30 - 6÷3 + 16

= 30 - 2 + 16

= 28 + 16 = 44

Evaluate -5x+8 when x=3

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

you do -5 times 3 and get -15 then you add the 8 with -15 and get a -7

Which of the following best describes the graph below?

Answers

Answer:

Step-by-step explanation:

this is a one-to-one function because it passes both the vertical and horizontal line tests.

3 + (-4)
1/4 X (-1 1/2 - 1/2)

Answers

Answer:

Step-by-step explanation:

I MARK BRAINLEST! WHEN CONVERTING SCIENTIFIC FORM TO STANDARD FORM WITH A POSTIVE EXPONENT YOU MOVE TO THE
O LEFT
O RIGHT

Answers

Answer:

To the right

Step-by-step explanation:

Someone please help!!!!!!!!!

Answers

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9) = 156

Step two:

|156|/-4 =-39

Step three:

-39+7 =-32

If you evaluate the expression it comes out to -32

I need help with this

Answers

Answer:

Not similar

Step-by-step explanation:

Even though

8/2=16/4,

10/3 does not have any relation to the rest. Still make sure if im right, but hope this helps!

Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?

Answers

Answer:779

Step-by-step explanation:

Delta

What is the slope of a line parallel to the line whose equation is 22 - y = 7. Fully
reduce your answer.

Answers

Answer:

The slope of the parallel line is 2

Step-by-step explanation:

Parallel lines have equal slopes, so for this question you need to re-format the equation to match a y=mx+b format (slope-intercept form).

2x -y = 7 | Subtract 2x from both sides

-y = 7 + 2x | Multiply by negative one to make y even

y = 7 + 2x | Rearrange the equation to match the formula

y = 2x +7 | 2 is your slope for both parallel lines!

What is the value of 5 Z when Z is equal to 2

Answers

Answer:

10?

Step-by-step explanation:

5 times Z= 5x 2= 10

Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)

Answers

Answer:

Step-by-step explanation:

-13m-or+t m(484m+63t)/63m

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