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

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

Help ASSp please work out the value of A

Answers

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

find the perimeter and area of the rectangle with vertices (1, -2), (1, 7), (-3, 7), and (-3, -2)

Answers

Answer:

26

Step-by-step explanation:

9+4+9+4=26

Multiply. Write your answer in simplest form. 1/9 x 3/10

Answers

Answer:

1/30

Step-by-step explanation:

When you multiply fractions, you just muliply across,

1*3= 3

9*10= 90

you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally

3/3= 1

90/3= 30

So your answer is 1/30!!

I hope this helps!!!!!!!!!!!

Select the correct answer. What is the range of function m? m(x) = √x - 3 + 1​

Answers

Answer:

i think it is b

Step-by-step explanation:

The range for m is [3, ∞)

What is function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

m(x)= √(x- 3) + 1

For x= 0

m(0) = √(-3) + 1

m(0) = √3i + 1

So, m ≠ 0, 1, 2 because it leads to imaginary value.

Thus, m ≥ 3

i.e., m=4

m(3)= √3-3 + 1= 1

and, m(4)= √(4- 3)+ 1 = 2

Hence, the range for m is [3, ∞)

Learn more about function here:

https://brainly.com/question/12904030

#SPJ5


Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA

Answers

Answer:

Second one:

AAS

Step-by-step explanation:

searched it

Consider C = {vowels in the word "clinic"}. Find n (C)

A. 6

B. 4

C. 2

D. 12

Answers

Answer:

D galiba ama emin değilim

Answer:

C. 2

Step-by-step explanation:

As you know

Vowels are a , e , i , o , u

"Cl 'i' n 'i' c" so that's 2

I really hate doing area so someone please help me out

Answers

Answer:

36

Step-by-step explanation:

You have to split it into 3 different sections,

multiply base times height and

all the answers you got.

Answer:

36

Step-by-step explanation

the top box is 6x4

the connecting box is 3x2

the bottom box is 6x1

6x4=24

3x2=6

6x1=6

24+6+6=36

Area=36

Round The Following Number: 194,332.125

Answers

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

S 4xy
when x = 2, y = 5

Answers

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

Please help with this practice quiz!!

Answers

Answer:

slope is 9

Step-by-step explanation:

use the formula y=mx+b wherein m is the slope and b is the y-intercept

to solve for m, use formula (y2-y1)/(x2-x1):

[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)

126/14 = 9

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answers

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution

Answers

Not a solution I believe.

Find the value of x.
a) 21
b) 27
c) 31
d) 34

Answers

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

1. 38.7

2. 3.87

3. .387

Step-by-step explanation:

1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.

So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7

2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.

Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87

3. The exponent number is 2 so, 10 to the second power is 100.

Equation: 38.7 / 100  

Move the decimal to the right twice and it will give you the answer .387

Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.

I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

solve 3e = -27 show work
this one i dont understand how to do​

Answers

Answer:

-9

Step-by-step explanation:

This would be -27/3 = -9

Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?

Answers

Answer:

-19

Step-by-step explanation:

-7 - 6(2) =

-7 - 12 =

-19

Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?

Answers

it would be $11.2 bc if you subtract $12.40 from $23.60 you get $11.2

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

What number is missing from this factor tree for the prime factorization of 328?

A. 39
B. 41
C. 42
D. 82

Answers

answer B. 41

328
/ \
2 164
/ \
2 82
/ \
2 41

Answer: Your Answer Is A) 41

Step-by-step explanation:

             328

              ^

          2 x 164

              ^

          2 x 82

              ^

          2 x 41

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

please help me asap!!

Answers

Answer:

3

Step-by-step explanation:

If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3

Answer:

f=3

Step-by-step explanation:

5/10=x/6

10x=30

x=3

x/(x-2)*(x+2)*(x-1) into partial fraction
​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answers

Answer:

((-1 + x) (2 + x) X)/(-2 + x)

Step-by-step explanation:

1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)

2 (x(x+1)-2)x)/(x-2)

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1

Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021

Answers

It is Fire warden caps.

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

can someone help me with a two step equation that will be x=2

Answers

Answer:

i can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T

Answers

8 is the answer to the question

Answer:

option B

Step-by-step explanation:

I did it.

Find the Area: 12 ft 12 ft​

Answers

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

brain size for football players

Answers

At least 3. Have a nice day! :)

3, 4, or 5, I think, but I'm not sure.

Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6

Answers

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

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