An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees a corresponding ad on television. One in 100 sees both. One in 4 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product

Answers

Answer 1

Answer:

Probability = 0.12025

Step-by-step explanation:

P (Am) = 1/50 = 0.02       {Magazine ad}

P (At) = 1/8 = 0.125         {Television ad}

P (Am ∩ At ) = 1/100 = 0.01      {Both ads}

P (Am U At) = P (Am) + P (At) - P (Am ∩ At )

= 0.02 + 0.125 - 0.01

P (Am U At)  = 0.135       {Person sees either ad}

P (Am' ∩ At') = 1 - P (Am U At)

P (Am' ∩ At')  = 1 - 0.135 = 0.865      {Person sees none ad}

Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)

P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1

P (P) = (0.25) (0.135) + (0.1) (0.865)

= 0.03375 + 0.0865

0.12025


Related Questions


Write a response to the following using Claim, Evidence, Reasoning.

Refer to the kite ABCD with diagonal AC shown above.

Use careful reasoning to explain why 21 22 and 23 24.

Answers

Answer:

The answer is A 21

Step-by-step explanation:

Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5

Answers

Answer:

3

Step-by-step explanation:

2 plus 1 is 3

n is an integer.
Write the values of n such that -15 < 3n <6
I need know please

Answers

Answer:

-5<n≤2

Step-by-step explanation:

Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2

plz help i have 4 ins

Answers

The answer is 126.856

Need help getting a equation that you distribute that will equal x=6

Answers

x + 10 = 16

16 - 10 = 6
x = 6

Answer:

x+6=10-4+6

x=6+6-6

x=6

one boy has 63k and another 59k .if they share it equally,how much does each of them get​

Answers

Answer:

61k

Step-by-step explanation:

63+59=122

122/2=61

Answer:

61000

Step-by-step explanation:

First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.

Help me pls and pls show work

Answers

Answer:

if you need it as improper then 25/12

Step-by-step explanation:

Whoever answers first gets brainliest

Answers

Hi , what I should answer ??

Step-by-step explanation:

nasaan po ang tanong, where is the question

Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.

Answers

Answer:

The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]

Required

Calculate the mean

First, calculate the midpoint (x)

For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]

For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]

For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]

For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]

So, we have:

[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]

[tex]\bar x = \frac{43250}{675}[/tex]

[tex]\bar x = 64.07[/tex]

[tex]\bar x = 64[/tex] --- approximated

Please help me there is a picture right there

Answers

Answer:

90 mm^2

Step-by-step explanation:

split into two rectangles.

First rectangle: 5 x 6 = 30 mm^2

Second rectangle: 10 x 6 = 60 mm^2

30 + 60 = 90 mm^2

Answer:

90 [tex]mm^{2}[/tex]

Step-by-step explanation:

Hi!

What we have over here is a composite figure.

Basically, it's made up of different shapes

We can either make a rectangle by making a horizontal line from the point in between 6 mm and 5 mm

Or we can make a rectangle by going verticle from the point in between        6 mm and 5 mm

Either way, we have two rectangles now, and we can use our formula [tex]l*w[/tex] to find the area.

For the first example, we would do:

[tex]6*5[/tex] [tex]=30[/tex]

[tex]6*10=60[/tex]

Then we add the two areas of the two rectangles:

[tex]60+30=90[/tex] [tex]mm^{2}[/tex]

For the second example, we would do:

[tex]5*6=30[/tex]

[tex]5*12=60[/tex]

[tex]60+30=90[/tex] [tex]mm^{2}[/tex]

Just cut the figure into shapes you can calculate the area of and you should be good to go!

Let me know if you have any questions

Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?

Answers

55hours times .17 will give you the answer.

Sarah spends 9.35hours on air.

Round off to the nearest
3,142

Answers

Just put 3.150 lol that what I did

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: N and M

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: N and R

Vertical angles: A pair of angles that are made by two intersecting lines.

Complimentary: P and Q

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year

Answers

Step-by-step explanation:

A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.

1. The number of countries ever visited is a discrete variable

2. Shoe size is definite, it is a discrete variable.

3. Number of pets living in a household is a discrete variable.

A continuous variable is one that we can get the value through measurements.

1. Pounds of chocolate consumed in the past is continuous

2. Height in inches is continuous

Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?​

Answers

Answer:

Step-by-step explanation:

Which equation shows this volume formula solved for h?

Answers

Answer:

Step-by-step explanation: the answer is B i think

Answer:

A

Step-by-step explanation:

[tex]V = \frac{nd^2h}{6}[/tex]

multiply both sides by 6

[tex]6V = nd^2h[/tex]

divide both sides by [tex]nd^2[/tex]

[tex]\frac{6V}{nd^2} = h[/tex]

So the answer is A.

Plz solve the calculus :')

Answers

Answer:

[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]

Step-by-step explanation:

[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]

HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10

Answers

Answer:

A, C, and D

Step-by-step explanation:

Answer: A - C - D  

Step-by-step explanation:

A= 21

B= 19

C= 21

D= 21

E= 20

What is the temperature shown?

Answers

Answer:

-3

....................

Answer:

-3

Step-by-step explanation:

Two different age groups were surveyed about the amount of time they spent on social media.

Answers

What’s the question-

For b you had to add 25 and 35 together to make 60.

Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20

6/30 in its simplest form

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

6/30 can be simplified by finding the LCD (least common denominator), which is 6

divide both the top & bottom by 6

6/6 = 1

30/6 = 5

thus, your answer is 1/5

what must be added to each term of the ratio 3:5, so that it becomes 4:5​

Answers

Answer:

5 must be added to both the terms to get the ratio 4:5.

Step-by-step explanation:

(3+x)/(5+x)=4/5

Therefore,

15+5x=20+4x

=5x-4x=20-15

=x=5

I hope it's helpful!

Answer:

3+y/5+y=4/5

let y be the no.to be added

5(3+y)=4(5+y)

15+5y=20+4y

-5= -y

y=5

Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.

Answers

Step-by-step explanation:

oatmeal 12/8 = 1.5 per student

apple 27/6 = 4.5 per student

carmine gets 1.5 + 4.5 = 6 muffins

Answer:

Step-by-step explanation:

(12 oatmeal)/(8 students) = (1.5 oatmeal)/student

Each student gets 1.5 oatmeal muffins.

(27 apple)/(6 students) = (4.5 apple)/student

Each student gets 4.5 apple muffins.

Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins

What is 36divided by 6.

Answers

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.​

Answers

Answer:

y=1/5x+4

Step-by-step explanation:

Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.

Answers

Step-by-step explanation:

no entiendo.....aaaaa

Answer:

6b+4

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y= 9 x= -42

Step-by-step explanation:

A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?

A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x

Answers

I think that the answer is or might be B

(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.

Answers

Answer:

2

Step-by-step explanation:

So first you would do y2-y1/x2-x1

9-(-1)/6-1

10/5=

2

y = 2x - 3

Steps are on paper.
And if you need more explanation, you can ask on the comment.

I need help on this :)

Answers

Answer:

<

Step-by-step explanation:

Need points :(

Answer:

Step-by-step explanation:

x+23+x=90

2x=67

x=33.5

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