A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 50% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 47% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model

Answers

Answer 1

Answer:

0.4198 = 41.98% probability that he or she has a basic model

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Extended warranty

Event B: Basic model

Probability of extended warranty:

34% of 50%(basic model)

47% of 100 - 50 = 50%(deluxe model). So

[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]

Intersection of events A and B:

34% of 50%(basic model with extended warranty). So

[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]

How likely is it that he or she has a basic model

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]

0.4198 = 41.98% probability that he or she has a basic model


Related Questions

Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0) nevermind

Answers

I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine

Answer: a & d

Step-by-step explanation:

Evaluate the expression 4x+3-x for
x=8


PLEASE HELP ME!

Answers

Answer:

x + 3 =8  x 4 =32 so your answer is 32 sorry for he wait

Step-by-step explanation:

x =5

A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220

LaTeX: 28x-94=22028 x − 94 = 220

LaTeX: 94x+28=22094 x + 28 = 220

LaTeX: 94x=22094 x = 220

Answers

Answer:

c

Step-by-step explanation:

Find the measure of angle C

Answers

65 degrees
90-25 = 65

I need help bad!!!!!!! Question: Angle ABC and angle DEF are supplementary. If

Answers

Answer:

Angle ABC and angle DEF are supplementary if and only if they add up to 180 degrees

Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?

Answers

Answer:

x = -5

Step-by-step explanation:

3x + 1 = 2x - 4

x + 1 = -4

x = -5

The x-coordinate in the solution of the system is -5.

What are linear equations?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given the equations y = 3x + 1

y = 2x - 4

comparing both equations for equal values of y,

3x + 1 = 2x - 4

3x  - 2x = -4 - 1

x = -5

substitute value of x in equation,

and y = 3x + 1

y = 3(-5) + 1

y = -14

Hence the value of x is -5.

Learn more about linear equations;

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2 Evaluate the following expression whenx = 2.
2+7x+2
A. 24
B. 22
C. 10
D. 9

Answers

Answer:

a is the answer bye bye hope that helps you

The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?

Answers

Answer:

Length is 45cm and Breadth is 33cm

Step-by-step explanation:

Perimeter = 156cm

Let the length be x

Breadth = x-12

Perimter = 2(l+b)

156 = 2(x-12+x)

156 = 2(2x-12)

156 = 4x-24

156+25 = 4x

180 = 4x

180÷4 = x

45 = x

Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm

OUR EQUATIONS

LENGTH = x

BREADTH = x-12

PLZ MARK ME AS BRAINLIEST

Help? I cannot get my head around it.

Answers

Answer:

60cm³

Step-by-step explanation:

Which of the following represents the series shown? Check all that apply. 11+17+23+29

Answers

Answer:

80

Step-by-step explanation:

have a wonderful day :)

There are no answer choices shown...

T2.T?
5.
UJU.4J
A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]​

Answers

9514 1404 393

Answer:

  63

Step-by-step explanation:

Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.

The number is 63.

_____

If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.

  original number value = 10x +y

  reversed number value = 10y +x

  difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)

The tens digit is twice the ones digit, so we have ...

  x = 2y

Substituting in the difference equation, we have ...

  27 = 9(x -y)

  3 = (2y -y) = y . . . . . divide by 9, substitute for x

  x = 2(3) = 6

The number is 10x+y = 63.

Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?

Answers

Answer:

The Answer is A or the first one, NOT C. C is wrong.

Step-by-step explanation:

The transformations that map ΔABC to ΔA"B"C" will be reflection cross x-axis and translation of (x - 6, y - 2). Then the correct option is B.

What is a transformation of a shape?

A point, line, or numerical figure can be changed over in one of four ways, and each affects the item's design as well as position. Picture, after interpretation, alludes to the article's definitive association and situation. Not long before the alludes to the material's underlying condition.

The interpretation doesn't change the shape and size of the calculation. However, changes the area.

The reflection doesn't change the shape and size of the math. However, flipped the picture.

The changes that map ΔABC to ΔA"B"C" will be reflection cross x-pivot and interpretation of (x - 6, y - 2). Then, at that point, the right choice is B.

More about the transformation of the shape link is given below.

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The complete question is given below.

At a student council meeting, there was a total of 65 students present. Of those students, 35 were female.


a. By what percent is the number of females greater than the number of males? Round your answer to the nearest tenth.
35 divided by 65


b. By what percent is the number of males less than the number of females? Round your answer to the nearest tenth.

Answers

Answer:

a = 50 b = 50

Step-by-step explanation:

a. 35/65=0.53 - rounded to the nearest tenth would equal to 50.

b.

65-35=30

30/65 = .46

rounded to the nearest tenth equals to 50.

Hope this helps!

pls help
Which graph represents a linear function?

Answers

Answer: The second one

Step-by-step explanation:

Lineair is always a straight line, think of it as a “line in the air”

Answer:

the second one

Step-by-step explanation:

its a straight line

PLEASE HELPP! WORTH 21 POINTS AND I WILL MARK BRAINLIEST!!!

Answers

Answer:

8 pizz an chick 6

Step-by-step explanation:

Wait are you from corpus

a student runs 2 mins for every 12 minutes he walks.

Answers

He walks for 24 minutes I think

Answer:look below

Step-by-step explanation:

4=24

6=36

8=48

10=60

Solve for u

U/9= 4/6

Answers

the answer is 6............

Answer:

U=6

Step-by-step explanation:

U/9= 4/6

Both side multiply 9

U=4*9/6

U=36/6

U=6

17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe

Answers

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

Help me and don't put wrong answer. 30 points.

Answers

Answer:

I believe this is a METAPHOR cause you cant really throw your voice as rope.

Answer:

House of Scorpion I know this one, It's a Metaphor. And if your looking for the rest of the answers go to quizziz House of scorpion final exam if you want all answers

Step-by-step explanation:

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug

Answers

Answer:

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not a user of an illegal drug.

Event B: Tests negative.

The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)

This means that [tex]P(B|A) = 0.9[/tex]

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.

So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]

What is the probability that an athlete tests negative and is not a user of an illegal drug

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:

January: 400 subscribers

February: 400 x 1.5 = 600 subscribers

March: 600 x 1.5 = 900 subscribers

April: 900 x 1.5 = 1,350 subscribers

The sequence to represent the number of subscribers in the 3 months that followed are :

First month = 600 subscribers

Second month = 900 subscribers

Third month = 1350 subscribers

The blogger has 400 subscriber to her blog in January.

The number of subscriber has grown by a factor of 1.5 every month since then.

Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below

January Subscribers = 400

February Subscribers = 1.5 × 400 = 600

March Subscribers = 1.5 × 600 = 900

April subscribers = 1.5 × 900 = 1350

learn more on sequence here:https://brainly.com/question/21324508?referrer=searchResults

MARK BRAINLYIST
The graph shows the distance, y, that a car traveled in x hours:

A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting ordered pairs 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Travel.

What is the rate of change for the relationship represented in the graph?

fraction 1 over 50
fraction 1 over 25
25
50

Answers

Answer:

25

Step-by-step explanation:

This is a straight line: y = 25x

The rate of change is the slope, i.e., 25

whats the answer to -6 = 3/2z​

Answers

Answer:

Step-by-step explanation:

-6=3/2z

-12z=3

z=-4

can you guys please help me

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each vertex has a single-letter label.

Each edge joins two vertices, and is named by naming those two vertices.

Each polygon is named by listing the vertices at its corners. It is a plane figure.

The base is the polygon opposite the point where all of the triangles come together.

__

16. figure: pentagonal pyramid ABCDEF

17. base: ABCDE

18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)

19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF

20. vertices: A, B, C, D, E, F

What is the fraction equivalent of 2.151515?

Answers

Answer:

430303/200000

Step-by-step explanation:

hope this helps!!!

Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q

Answers

Step-by-step explanation:

?I'm not sure what you are trying to say


anyone very good in math and wanna helpppp me?

Answers

the slope is 5/3 (five over three)

What is the total area? Use 3 for Pi.
answer fast pls! xx

Answers

Answer:

146.3m²

Step-by-step explanation:

area of quarter circle=1/4π×8²

=50.3m²

area of the square=s²

8×8=64m²

area of the triangle=1/2bh

1/2×8×8=32m²

total area=50.3+64+32=146.3m²

for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3​

Answers

Answer:

[tex]Unit = 2\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]Bags = 8[/tex]

[tex]Bowls = 3[/tex]

Required

Determine the amount in each bowl

This implies that we calculate the unit measurement. This is calculated using:

[tex]Unit = \frac{Bags}{Bowls}[/tex]

[tex]Unit = \frac{8}{3}[/tex]

[tex]Unit = 2\frac{2}{3}[/tex]

1/2x -5-1/3y when x =48 and y=15

Answers

If I did this correctly, the answer is 14
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