A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).

Answers

Answer 1

Answer:

[tex]P(Cable\ TV\ only) = 50\%[/tex]

[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]

[tex]P(exactly\ 2\ services) = 23\%[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]

Step-by-step explanation:

Given

[tex]Cable\ TV = 80\%[/tex]

[tex]Internet = 44\%[/tex]

[tex]Telephone = 29\%[/tex]

[tex]Cable\ TV\ and\ Internet = 25\%[/tex]

[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]

[tex]Internet\ and\ Telephone = 23\%[/tex]

[tex]All\ Services = 15\%[/tex]

Solving (a): A) P(cable TV only).

First, we calculate n(cable TV only)

This is calculated as:

[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]

[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]

[tex]n(cable\ TV\ only) = 50\%[/tex]

The probability is:

[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]

[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]

[tex]P(Cable\ TV\ only) = 50\%[/tex]

Solving (b): P(Internet | cable TV).

This is calculated as:

[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]

[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]

[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]

[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]

Solving (c): P(exactly 2 services).

This is calculated as:

[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]

[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]

[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]

[tex]P(exactly\ 2\ services) = 23\%[/tex]

Solving (d): P(Internet and cable TV only).

This is calculated as:

[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]


Related Questions

Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent

Answers

Answer:

  17.  C 60°

  18.  D 121°

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

17. (161° -41°)/2 = 60°

__

18. (? -59°)/2 = 31°

  ? = 59° +2(31°) = 121°

External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

What is the formula for external angle made by extending two chords?

External angle is half of the difference between angles subtended by arcs.

So in problem 17,

∠C = (161°-41°)/2 = 60°

In problem 18,

We got the external angle = 59°

Let us take the angle subtended by arc = x

so,

(x-59°)/2 = 31°

x = 121°

Therefore, External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

To get more about circles refer to the link,

brainly.com/question/25938845

NEED ANSWER QUICK!!
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

What is the measure of angle 4?
88°
89°
91°
92°

Answers

9514 1404 393

Answer:

  (c)  91°

Step-by-step explanation:

Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:

  angle 4 = 180° -89°

  angle 4 = 91°

Answer:

91°

Step-by-step explanation:

helpppppp ill give brainliest answer if you know

Answers

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

1. Laura buys a pack of 24 blueberry muffins that has a total
of 1,536 calories. What is her calorie intake, if she ate 3
muffins for breakfast?


Answers

Divide 1,536 by 24 to find out how many calories are in 1 muffin. Then multiply by 3.

1536/24 = 64

64 x 3 = 192

Answer:

192

Step-by-step explanation:

you have divide 24 by 3 and once you get that you get 8 then you do the amount of calories divide by 8

Helppppppppppppppppp

Answers

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

Solve for b:19-b=31

Answers

Answer:

-12

Step-by-step explanation:

Answer is -12!!!!!!!!!!!!!!!


Need help QUICKLYY ———————————————————

Answers

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.


1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?

2. About what percentage of bags weigh less than 49.8 lb?

3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4? ​

Answers

9514 1404 393

Answer:

68%16%2.5%

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

Which of these describes information that can appear in a consumer 's credit report?

A. The Name Of A Store Where The Consumer pays for all purchases

B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago

C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years

D. The Amount That The Consumer Loaned To A Family Member​

Answers

Answer:

b the car loan .................

Change 79/3 into a mixed number

Answers

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6

Answers

Answer: Credit to work in process invetory-assembly

Answer:

its C because it makes the most sense "Credit to work in process invetory-assembly."

Step-by-step explanation:

An archer has $62 to spend on a new archery

set. A certain set containing a bow and three arrows costs $42. With the purchase of this set, he can purchase additional arrows for $4 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $62.

Answers

Answer:

5 more arrows

Step-by-step explanation:

62 - 42 = 20  20 / 4 = 5

The archer can buy 5 more arrows.

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

ANSWER ONE OF THESE FAST PLEASE!!!

Answers

Answer:

x7

Step-by-step explanation:

Someone please help me and thank you:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

What is the angle of Z?

Answers

Answer:

Angle Z is 33.

Step-by-step explanation:

Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.

21m42n32p10
Зm 21n16 р5
Simplify

Answers

Mhh I dont know sry lol

Step-by-step explanation:

meh dont know

10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?​

Answers

Im sorry sam
Bell Lah-Lah she will do

Helpppppppppppppppp

Answers

1234567891011121314151617181920

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here

Answers

Answer:

Step-by-step explanation:

What are the steps I need to solve this problem? 2x + 5 = 21

Answers

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

Part 1 : Adding & Subtracting Monomials

Answers

Answer:

1. 15a⁵b²+4a⁵b²

= 19a⁵b²

2. -7m-m²+4m²-3m

= -7m -3m -m²+4m²

= -10m +4m²

3. 2pq⁷ and -pq⁷

= (2pq⁷) +(-pq⁷)

= 2pq⁷-pq⁷

= pq⁷

4. -13xy from -5xy

= -5xy - 13xy

= - 18xy

it's your answer . check it out

what is
6 over 9
and
11 over 88​

Answers

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Write an equation of the parabola shown.

Answers

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

convertir 5000 cm a km​

Answers

Answer:

0.05 kilometer is the answer

Step-by-step explanation:

hope this answer may help you

The diameter of a circle is 10 m. Find its area to the nearest tenth.

Answers

Answer:

78.54 m^2

Step-by-step explanation:

The computation of the area of the circle is shown below:

As we know that

Area of the circle = πr^2

Also

Diameter = 2r

10 = 2r

r = 5

So, the area of the circle is

=  3.14 × 5^2

= 78.54 m^2

Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.

Answers

Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.

Answers

Answer:

Step-by-step explanation:

This is the answer

Two angles are supplementary. If one angle is 45° less than twice of the other angle, find the two angles.

Answers

Answer:

we will call the two angles a and b

a = 105

b = 75

Step-by-step explanation:

Supplementary means the two angles add up to 180 degrees.  Now this turns into a system of equations problem.  let's call the two angles a and b.

Lets say angle a is 45 degrees less than twice the other angle.  that means a = 2b - 45.  The first part told us a + b = 180

a + b = 180

a = 2b - 45

Now this is actually super easy to do.  Normally you would have to do algebra to one of the two equations so there is one variable by itself.  the second equation already has that.

now look at the other equation.  instead of a though make a = 2b - 45

a + b = 180

2b - 45 + b = 180

Now use algebra to solve for b

2b - 45 + b = 180

b = 75

Now, go back to the first two equations.  put 75 in for b for either one of them and you will get the answer to a.

a + 75 = 180

a = 105

or

a = 2*75 - 45

a = 105

Now we can check.  a=105 and b = 75

do both add up to 180?  yep.  is a 45 less than twice b?  or using numbers, is 105 45 less than twice 75?  well twice 75 is 150.  and 105 is 45 less than that, so yep!

Let me know if there was anything you didn't get.  Also you could totally have started with the other equation first and got a = 180 - b or b = 180 - a and gotten the same answer.

Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitchell has left.
ASAP ill give brainliest

Answers

he has a total of 40

$40-$5-$15=$20

he has a total of $20 left

mark brainliest
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