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

help with B please for 20 points!!!

Answers

Answer:

a) agree, it's experimental

b) 5/20 + 2/20 = 7/20

Step-by-step explanation:

Round 7095.38193145 to the nearest ten

Answers

Answer:

7100 is your answer for rounding it in the TENS place

If your rounding to the TENTHS place you are going to get 7095.4 as your answer.

Answer:

7100 in the tens place.

Step-by-step explanation:

Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.

Answers

Answer:

1. 33%

2. 28

3. 62.5

Step-by-step explanation:

Write an inequality that matches the graph.

A number line from zero to ten is shown. A ray extends to the left from a closed circle at six.

Answers

Answer:

[tex]x \leq 6[/tex]

Step-by-step explanation:

because the ray travels left, x has to be lower than 6, and since it is a closed circle, means that 6 is included in the answer, so x is less than or equal to 6.

You’re five neighboring restaurants charge $9.95, $12.95, 8.50, 8.95, and $10.54 hamburger special. What is the mean price

Answers

$10.18 Add all the numbers then divide by the amount in this case 5

PLS HELP NEEDED ASAP GIVING BRAINLESS

Answers

The answer would be b

Can someone help me with this?

Answers

Answer:

use photomath

Step-by-step explanation:

all you.do is download it then scan your problem its that simple

How many calories are there in 2 1/2 cup of cereal

Answers

Answer:

330 calories if it is 2 1/2 cup of cheerios.

Step-by-step explanation:

140 is 1 cup of cheerios multiply it by 2

50 is half a cup

now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.

21
10. The plays generally considered the tragedies by William
Shakespeare are Antony and Cleopatra, Coriolanus, Hamlet,
Julius Caesar, King Lear, Macbeth, Othello, Romeo and Juliet,
Timon of Athens, and Titus Andronicus. Find the probabilities
of the events shown.
1
a. The title of the play contains the word “King”
10 1
b. The title of the play begins with the letter “T”.
5
c. The title of the play contains the letter “Q” 0
d. The title of the play contains the names of two people
20
y.

Answers

Answer:

I think its C

Step-by-step explanation:

Michael draws a scale model of a shed for his engineering class. It is made from a triangular prism on top of a rectangular prism. The volume of the shed is 966 cubic inches. The congruent sides of the triangle are 7.8 inches. A. What is the depth of the shed?

Answers

I’m sorry I just need points I’m really sorry

What is 240 more than 100

Answers

Answer:

340

Step-by-step explanation:

240 + 100 = 340

We are looking for a new number which is 240 more than 100.
We will get the new number by adding 240 to 100.
We write it down as:
100+240=340 so the answer is 340

10 to the 8 power is what

Answers

Answer:

it is 100000000 i think i am not sure either

Angle 1 and angle 2 are supplementary. angle 1 measures 3x and angle 2 measures 2x + 10. what does x equal?

Answers

Step-by-step explanation:

3x+2x+10=180

5x+10=180

5x=170

x=34

so the value of x is 34

The value of x is 34.

Here,

Angle 1 and angle 2 are supplementary.

And, angle 1 measures 3x and angle 2 measures 2x + 10.

We have to find the value of x.

What is Supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Now,

Angle 1 and angle 2 are supplementary.

⇒ ∠1 + ∠2 = 180°

And, angle 1 measures 3x and angle 2 measures 2x + 10.

⇒ 3x + 2x + 10 = 180

⇒ 5x + 10 = 180

⇒ 5x = 170

⇒ x = 34

Hence, The value of x is 34.

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Nick brings five pizzas to a birthday party. The boys at the birthday party eat 2/5 of the pizzas. How many pizzas did the boys eat? Explain

Answers

Answer:

2 pizzas

Step-by-step explanation:

2/5 of 5 is easy since there are 5

so 2 out of 5 is 2

Answer:

2 pizzas

Step-by-step explanation:

If there were 5 pizzas to begin with and only 2 out of that 5 were eaten, then that means they ate 2

0 0 0 0 0 pizzas started with

_  _           pizzas ate

0 0 0           pizzas left with

So if there were 3 pizzas left with, then you can subtract 3 from 5 to see how many are gone or eaten.

Hope this Helps!!!

Please help this is my last thing to do!!!
A rectangle has sides measuring (3x + 5) units and (6x + 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?

Answers

Answer:

area = 18x² + 63x + 55 square units

Second-degree trinomial.

Step-by-step explanation:

area = (3x+5)(6x+11) = 18x² + 63x + 55 square units

Second-degree trinomial.

Which ordered pair must be a solution in the graph of the linear inequality
below?
A. (0, -1)
B. (1,2)
C. (-5,1)
D. (0,0)

Answers

Answer:

it is c and you also use something called desmos to help you with graphing questions

If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.

Answers

Answer:

Step-by-step explanation:

a₄ = a₁ + (4-1)d

4 = -4 + 3d

d = 8/3

a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔

Helpp please due soon

Answers

Step-by-step explanation:

b+133=180

b=180-133

b=47

a+71+40=180

a+111=180

a=180-111

a=69

c+64=180

c=180-64

c=116

140=d+47

140-47=d

d=93

e+47+47=180

e+94=180

e=180-94

e=86

What is the volume of the prism? ​

Answers

Answer:

VOLUME OF PRISM = L X W X H (or) LWH

so, L = 2 in

W = [tex]2\frac{1}{4}[/tex] in (or)  [tex]\frac{9}{4}[/tex] in

H = 4 in

volume = 2 x [tex]\frac{9}{4}[/tex] x 4 = 18 in³

- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26

Answers

Answer:

should be angle 2 and angle 6

The answer is D can I have Brainlyest

An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the even of a king on the third draw. Describe each of the events listed below and calculate its probability.

a. A ∩ B
b. A U B
c. A ∩ B ∩ C
d. A U B U C

Answers

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

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

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

You flip 15 fair coins once. What is the probability of getting at least 12 heads?

Answers

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

What is Binomial Distribution?

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

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what is 50 divided by 5 times 2 divided by 4

Answers

I think the answer would be 5

Answer:

5 ma boiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.

Answers

Step-by-step explanation:

y = hourly income

r = number of watches fixed

equation: y = 2.20r + 9.5

4 1/6 + 2 3/4 too many answer not sure which is correct

Answers

Answer:

6.91666666667

Step-by-step explanation:

4 1/6 turn it into an improper fraction so it will become 10/6
2 3/4 turn it into an improper fraction so it will become 10/4

4 1/6 = 10/6
2 3/4 = 10/4 now add them both up

10/6 +10/4 = 30/12 + 20/12
The answer will be 40/12 simplifying it to 3 and 1/3

Quadrilateral ABCD with vertices A(-9, 2), B(-8, 8), C(-4, 6), and D(-2, 2) is shown. You want to reflect quadrilateral ABCD in the
vertical line that passes through the midpoint of BC . Graph the line of reflection and the image after the reflection.

Answers

Answer:

See explanation.

Step-by-step explanation:

Graph the quadrilateral. By inspection, you can tell where the midpoint is. (see attachment 1)

Now, I'll draw a line through it. (see attachment 2)

To reflect across a line, think about the points traveling across the line the same number of spaces the point is from the line. For example, point A is three away from the line. So, A' will be 3 away from the other side. The coordinates will be at (-3,2). (see attachment 3).

Do the same for the other points, and you'll have your image.

b. , using the
Pythagorean Theorem,
show that.
C. Solve for X

Answers

X=20
WORK:

100+ 3x +x=180
4x+100=180
-100 -100
4x=80
divide both sides by 4
x=20

write the fraction 4/10 as a product of a whole number and a unit fraction

Answers

Answer:

Step-by-step explanation:

Answer:

4 x 1/10

Step-by-step explanation:

All you have to do is to add 1/10 + 1/10 + 1/10 + 1/10.

Add the numerators 1+1+1+1=4 and keep your denominator.

So just add 1/10 4 times, thas why the answer is 4 x 1/10.

I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                          13 + h = 21

                          13 - 13 + h = 21 - 13

                           0 + h = 8

                           h = 8                

                           8 ≠ 9    

 

                          13 + ( 9 ) = 21

                              22 = 21

                              22 ≠ 21

 3) Conclude: The given value of ( h ) is not a solution of the given equation.

find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]

Answers

Infinite Solution - The equation are the same
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