You get GPS units from two manufacturers, A and B. You get 43% of your units from A and 57% of your units from B. In the past, 2% of the units from A have been defective, and 1.5% of the units from B have been defective. Assuming this holds true, if a GPS unit is found to be defective what is the probability that it came from manufacturer A (think Bayes Theorem AND round to two decimal places)

Answers

Answer 1

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

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: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

[tex]P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715[/tex]

Probability a unit is defective and from manufacturer A:

2% of 43%. So

[tex]P(A \cap B) = 0.02*0.43 = 0.0086[/tex]

What is the probability that it came from manufacturer A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015[/tex]

0.5015 = 50.15% probability that it came from manufacturer A.


Related Questions

I need help with the answer

Answers

Answer:

Option B, x ≈ -2.25

Step-by-step explanation:

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

or x ≈ -2.21166

so it's closest to the answer of the 2nd option

Diana get a gift card with a value of $55, and her favorite drink cost $2.20. How many plain black coffee can she buy with the gift card

Answers

Answer:

Twouufyjughgyuioiu567uhu888

Answer:

55/2.20=25 so 25 black coffees

Step-by-step explanation:

A painter can paint 36 feet of molding per hour. How many inches of molding can he paint per hour?

Answers

Answer:

432 inches

Step-by-step explanation:

We need to convert feet to inches

1 ft = 12 inches

36 ft * 12 inches/ 1 ft = 432 inches

What is the equation of this graph

Answers

Answer:

y-1=x^2

Step-by-step explanation:

That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.

A basic cellular package costs $30/month for 60 minutes of calling with an additional charge of $0.40/minute beyond that time. The cost function C (2) for using x minutes would be • If you used 60 minutes or less, i.e. if if x < 60, then C (x) = 30 (the base charge). If you used more than 60 minutes, i.e. (x – 60 minutes more than the plan came with, you would pay an additional $0.40 for each of those (x – 60 minutes. Your total bill would be C (x) = 30 + 0.40 (x – 60). If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use? minutes. The maximum calling minutes you can use is ? Number​

Answers

Answer:

The maximum number of minutes to keep the cost at $50 or less is 110 minutes

Step-by-step explanation:

Given

[tex]C(x) = 30[/tex] ---- [tex]x < 60[/tex]

[tex]C(x) = 30 + 0.40(x - 60)[/tex] --- [tex]x \ge 60[/tex]

Required

[tex]C(x) = 50[/tex] ---- find x

We have:

[tex]C(x) = 30 + 0.40(x - 60)[/tex]

Substitute 50 for C(x)

[tex]50 = 30 + 0.40(x - 60)[/tex]

Subtract 30 from both sides

[tex]20 = 0.40(x - 60)[/tex]

Divide both sides by 0.40

[tex]50 = x - 60[/tex]

Add 60 to both sides

[tex]110 = x[/tex]

[tex]x =110[/tex]

What is lim j(x)?
X-3

Answers

9514 1404 393

Answer:

  (b)  4

Step-by-step explanation:

The point (3, 4) is a "hole" in the graph. The function approaches the value y=4 from either direction, so that is the limit as x → 3.

  [tex]\displaystyle\lim_{x\to3}f(x)=4[/tex]

Can someone please help with 25 , please put the way you got it. Please no links it’s serious

Answers

Answer:

X * 0.8 = $64

x = $80

Step-by-step explanation:

Use the distributive property to simplify
the equation below.
с
8(2a + 4b - c)
[? ]a + [ ]b - [
[ ]

Answers

Answer:

16a +32b - 8c

Step-by-step explanation:

8(2a + 4b - c)

Distribute

8*2a  + 8*4b+ 8*(-c)

16a +32b - 8c

Answer:

16a + 32b - 8c

Step-by-step explanation:

You bring 8 inside the parenthesis and then multiply it with everything. so for a you put 16, b you put 32 and c you put 8

Given the following coordinates complete the glide reflection transformation.


A(−1,−3)


B(−4,−1)


C(−6,−4)


Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

Answers

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this, we get

[tex]A(-1,-3)\to A'(-1,3)[/tex]

[tex]B(-4,-1)\to B'(-4,1)[/tex]

[tex]C(-6,-4)\to C'(-6,4)[/tex]

If a figure is shifting 10 units right, then

[tex](x,y)\to (x+10,y)[/tex]

Using this we get

[tex]A'(-1,3)\to A''(-1+10,3)[/tex]

[tex]A'(-1,3)\to A''(9,3)[/tex]

Similarly,

[tex]B'(-4,1)\to B''(-4+10,1)[/tex]

[tex]B'-4,1)\to B''(6,1)[/tex]

And,

[tex]C'(-6,-4)\to C''(-6+10,4)[/tex]

[tex]C'(-6,-4)\to C''(4,4)[/tex]

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).

10) Find three numbers whose product is -72. You may use integers from -10 to 10. Give two
examples

Answers

Answer:

Step-by-step explanation:

-8 *  9 * 1

If you are going to get - 72, you need to have an odd number of minus signs.

4 * 3 * - 6

You must be careful of the limits. You can't use something like 36 * 2  * 1 because the numbers don't fall within +/- 10

You could use 6*6*-2

the polygons in each pair are similar find the scale factor smaller figure to the larger

Answers

Answer:

smaller figure/larger figure = ½

Step-by-step explanation:

The scale factor = any of the side length of the smaller figure / the corresponding side length of the larger figure

Side length of smaller figure = 3

Corresponding sides length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = smaller figure/larger figure = ½

Consider the following. fourteen less than the total of a number and three Translate into a variable expression. (Use x for your variable. Do not simplify.)​

Answers

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

*20 points*
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation?

Answers

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

Please help with Question 2b

Answers

Answer:

MUST BE IN HLA, NOT FROM C TO ASSEMBLY.

PROGRAM 6: Same

Write an HLA Assembly language program that implements a function which correctly identifies when all four parameters are the same and returns a boolean value in AL (1 when all four values are equal; 0 otherwise). This function should have the following signature:

procedure theSam

Which graph has the solutions -1 and 4?
a.
On a coordinate plane, a parabola opens up and goes through (negative 4.2, 0) and (0, negative 1).
c.
On a coordinate plane, a parabola opens up and goes through (negative 4, 0) and (1, 0).
b.
On a coordinate plane, a parabola opens up and goes through (0, negative 3) and (4.5, 0).
d.
On a coordinate plane, a parabola opens up and goes through (0, negative 1) and (4, 0).



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

graph d

in graph d, the line intersects the x axis twice at (-1,0) and (4,0), so those two are the solutions of the graph

PLZ ANSWER ASAP
(look at images below, from khan)

Answers

Answer:

D Replace on equation with sum /difference of both equations

The systems are still the same

Step-by-step explanation:

5x + y = 3

4x - 7y = 8

Subtract the second equation from the first

5x + y = 3

-(4x - 7y = 8)

-----------------

x    +8y = -5

The second equation in system B is the first equation in system a minus the second equation in system A

We added the same thing to each side of the equation so the the system is still the same

the best answer would be d

What is the volume of the cylinder below?

Answers

Answer:

A

Step-by-step explanation:

v=πr2h

r=(3)²* 5

45π unit³

Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm

Answers

0.08 cm/min

Step-by-step explanation:

Given:

[tex]\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}[/tex]

Find [tex]\frac{dr}{dt}[/tex] when diameter D = 20 cm.

We know that the volume of a sphere is given by

[tex]V = \dfrac{4\pi}{3}r^3[/tex]

Taking the time derivative of V, we get

[tex]\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}[/tex]

Solving for [tex]\frac{dr}{dt}[/tex], we get

[tex]\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})[/tex]

[tex]\:\:\:\:\:\:\:= 0.08\:\text{cm/min}[/tex]


Pencils are sold in a local store for 55 cents each. The factory has $1300 in fixed costs
plus 15 cents of additional expense for each pencil made. Assuming all
pencils manufactured can be sold, find the break-even point.
Break-even point:

Answers

Answer:

3250 pencils sold

Step-by-step explanation:

Let x represent the number of pencils.

The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.

Set these two terms equal to each other, and solve for x:

0.55x = 1300 + 0.15x

0.4x = 1300

x = 3250

So, the break even point is at 3250 pencils sold.

What is 20×10 to the third power equal

Answers

Answer:

20000

Step-by-step explanation:

Your equation will look like this to the third power:

20 x 10^3

Step 1. Solve for 10^3

Answer: 1000

Step 2. Multiply 20 x 1000

Answer: 20000

Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9

Answers

2nd one - y = 3/7x + 6 , hope this helps:)

Which of the following methods of sampling is an example of a stratified random sample?

A. Randomly choosing a name from a list of names in the population and then choosing every tenth name thereafter.
B. From 500 names of members of a population in a hat drawing 50 names from the hat without looking.
C. Dividing a target population of students by grade level and choosing the first 25 names from each group.
D. Dividing a population of adults into males and females and randomly choosing a sample proportional to the numbers in each group.

Answers

Answer: D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Factorize p2-15q-5p+2pq​

Answers

Hope it's help you!!!!!!

You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent.

Answers

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

Learn more : https://brainly.com/question/3880193

of a loaf of brown bread costs R6, how much will 4 halves cost?​

Answers

Answer:

R12

Step-by-step explanation:

Answer: R12

Explanation:

Cost of 1 loaf = R6

Cost of 4 halves = 6/2×4

= 6 × 2

= R12

Please click thanks and mark brainliest if you like

Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. If there are no further purchases charged to the card, you must pay $158.40 each month, and you will pay a total interest of $501.60. Assume you decided to pay off the balance over one year rather than two. How much more must you pay each month and how much less will you pay in total interest?

Answers

9514 1404 393

Answer:

$137.90 more each month$246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

  A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

  $295.30 -158.40 = $137.90 . . . more each month

The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

  $501.60 -255.60 = $246.00 . . . less total interest

Help me please, is it d?

Answers

Answer:

Yes D is the correct answer :)

Answer:

Yes, D

Step-by-step explanation:

Locate the points of discontinuity in the piecewise function shown below.

Answers

Answer:

Step-by-step explanation:

The given piecewise function i

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

LHL:  

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

LHL:  

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

Answers

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

[tex]P(x) = x^3-4x^2-6x-3[/tex]

And we want to find the remainder when it's divided by the binomial:

[tex]x+1[/tex]

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

[tex]\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}[/tex]

The remainder is -2.

Hi i need help i have class in 30 min! <3
For what values of a are the following statements true:

Answers

Answer:

if I understand correctly, I hope this helps:

Answer to b: a< or equal to Zero.

Answer to d: a>or equal to -5

Other Questions
A company borrowed $10,000 from the bank at 5% interest. The loan has been outstanding for 45 days. Demonstrate the required adjusting entry for this company by completing the following sentence. The required adjusting entry would be to debit the Interest __________________ account and ___________________ the Interest ___________________ account. Carrie is asked to draw a triangle with the following specification at least two angles measuring 60Which of the following statements about this triangle is true?A. One and only one triangle exists with the given condition, and it must be an equilateral triangle.More than one triangle exists with the given condition, and all instances must be equilateral trianglesCOne and only one triangle exists with the given condition, and it must be an isosceles triangleDMore than one triangle exists with the given condition, and all instances must be isosceles triangles How are most physical challenges classified mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean. The tax calculator program of the case study outputs a floating-point number that might show more than two digits of precision. Use the round function to modify the program to display at most two digits of precision in the output number. Hi I need help with part c please and thank you so much if you can do so The system of linear equations x y + 2 = 0 and 2x + y -14 = 0 The executives __________ an argument at the present. Malek sets out for a hike at 8.00 am and returns at 17:15.How long was Malek hiking for?hours andminutes which of the following cannot be increased by using a machine of some kind? work, force, speed, torque Which of the following numbers has the greatest value?89 3/466 1/255 2/374 1/4106 5/6 Recently, more than 100 dancers came to Jackson, Mississippi. The dancers represented 31 countries. They came to take part in the USA International Ballet Competition (IBC). The IBC is the top ballet competition in the United States. The event lasts for two weeks. It offers dancers a chance to be noticed. In fact, it is known for starting the careers of many international dance stars. The IBC is like the Olympics. It is held every four years. Dancers compete for gold, silver, and bronze medals. Dancers also hope to win cash awards and offers to join dance companies. When the selling division in an internal transfer has unsatisfied demand from outside customers for the product that is being transferred, then the lowest acceptable transfer price as far as the selling division is concerned is: K. Decker, S. Rosen, and E. Toso are forming a partnership. Decker is transferring $50,000 of personal cash to the partnership. Rosen owns land worth $15,000 and a small building worth $80,000, which she transfers to the partnership. Toso transfers to the partnership cash of $9,000, accounts receivable of $32,000 and equipment worth $39,000. The partnership expects to collect $29,000 of the accounts receivable.Account Titles and Explanation: Debit Credit(To record invstment of Decker)(To record investment of Rosen)(To record investment of Toso.)What amount would be reported as total owners? 2. Write a difference between pagoda style and Stupa style architecture in table in four points Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent? rock-12classic rock-4county-18jazz-2heavy metal-6 Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows??? Drivers Ed confusing question Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then reflected over the y-axis to create point G''. What ordered pair describes the location of G''. Based on the map, what best explains the growing popularity of coffee in China?