two stores sell a certain product. store a has 40% of the sales, 3% of which are of defective items, and store b has 60% of the sales, 5% of which are of defective items. the difference in defective rates is due to different levels of pre-sale checking of the product. a person receives a defective item of this product as a gift. what is the probability it came from store b?

Answers

Answer 1

The probability defective item came from store b is 0.71.

Define the term conditional probability?The possibility of a possible outcome happening contingent on the frequency of a prior event or outcome is known as conditional probability. The probability of such prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

First, we determine how likely it is that the faulty item came from store A:

P(A) = 40% x 3%

P(A) = 0.4 x 0.03

P(A) = 0.012

Next, we determine how likely it is that the faulty item came from store B:

P(B) = 60% x 5%

P(B) = 0.6 x 0.05

P(B) = 0.03

The merchandise could originate from either retailer.

Therefore, the likelihood of receiving a defective product is:

P(A) + P(B) =  0.012 + 0.03

P(A) + P(B) = 0.042

The probability defective item came from store b is;

P(defective from store b) = P(B)/ (P(A) + P(B))

P(defective from store b) = 0.03/0.042

P(defective from store b) = 0.71

P(defective from store b) = 5/7

Thus, probability defective item came from store b is 0.71.

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Related Questions

What are the number of real zeros and complex zeros?

What are the number of real zeros and complex zeros?

Answers

Answer:

D

Step-by-step explanation:

the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.

thus for the given cubic function of degree 3 there will be 3 zeros

the graph indicates a zero at x = 4 which is real

thus there will be 2 complex zeros.

that is the cubic function has 1 real zero and 2 complex zeros

The percentage of children ages 1 to 14 living in poverty in 1985 compared to 1991 for 12 states was gathered. (10 points) State Percent of Children in Poverty 1985 Percent of Children in Poverty 1991 1 11. 9 13. 9 2 15. 3 17. 1 3 16. 8 17. 4 4 19 18. 9 5 21. 1 21. 7 6 21. 3 22. 1 7 21. 4 22. 9 8 21. 5 17 9 22. 1 20. 9 10 24. 6 24. 3 11 28. 7 24. 9 12 30. 8 24. 6 Part A: Determine and interpret the LSRL. (3 points) Part B: Predict the percentage of children living in poverty in 1991 for State 13 if the percentage in 1985 was 19. 5. Show your work. (3 points) Part C: Calculate and interpret the residual for State 13 if the observed percent of poverty in 1991 was 22. 7. Show your work. (4 points)

Answers

The residual for State 13 is -14.6. A negative residual means that the observed value is less than the predicted value, indicating that State 13 had a lower percentage of children in poverty in 1991 than what would be expected based on its percentage in 1985.

Part A: To determine the LSRL (least squares regression line), we need to find the equation of the line that best fits the scatter plot of the data. We can use a statistical software or calculator to do this, but here's how to do it manually using a TI-84 calculator:

Enter the data into two lists (L1 for 1985 and L2 for 1991).

Go to "STAT" > "CALC" > "LinReg(ax+b)".

Make sure "L1" and "L2" are selected as the Xlist and Ylist, respectively.

Press "ENTER" twice to get the equation of the line.

The equation of the LSRL is:

y = 0.8551x + 9.7436

where y represents the percent of children in poverty in 1991 and x represents the percent of children in poverty in 1985.

To interpret the LSRL, we note that the slope is positive (0.8551), which means that there is a positive association between the percentage of children in poverty in 1985 and 1991. In other words, states with higher poverty rates in 1985 tended to have higher poverty rates in 1991. The y-intercept is 9.7436, which represents the predicted percent of children in poverty in 1991 when the percent in 1985 is 0. However, since it doesn't make sense for the percent in 1985 to be 0, the intercept isn't meaningful in this context.

Part B:

To predict the percentage of children living in poverty in 1991 for State 13 if the percentage in 1985 was 19.5%, we can use the LSRL equation:

y = 0.8551x + 9.7436

where x is the percent of children in poverty in 1985 and y is the predicted percent in 1991.

Substituting x = 19.5, we get:

y = 0.8551(19.5) + 9.7436 ≈ 27.4

Therefore, the predicted percentage of children living in poverty in 1991 for State 13 is approximately 27.4%.

Part C:

To calculate the residual for State 13 if the observed percent of poverty in 1991 was 22.7%, we first use the LSRL equation to find the predicted value for State 13:

y = 0.8551x + 9.7436

Substituting x = 30.8 (the percent of children in poverty in State 13 in 1985), we get:

y = 0.8551(30.8) + 9.7436 ≈ 37.3

The predicted percent of children in poverty in 1991 for State 13 is approximately 37.3%.

Next, we calculate the residual as the difference between the observed value (22.7%) and the predicted value (37.3%):

residual = observed value - predicted value

= 22.7 - 37.3

= -14.6

Therefore, the residual for State 13 is -14.6. A negative residual means that the observed value is less than the predicted value, indicating that State 13 had a lower percentage of children in poverty in 1991 than what would be expected based on its percentage in 1985.

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WHAT NINE plus 10 i am to not smart

Answers

Answer:

19

10+9=19

Step-by-step explanation:

Hi

The answer is = 9+10= 19

The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?

Answers

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: \(y=Ab^x\), where A = initial value , b = growth factor (if b>1)

Here, The expression \(6.7\cdot(1.45)^t\) models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?

What is the approximate average rate at which the area decreases, as the rectangle's length goes from
What is the approximate average rate at which the area decreases, as the rectangle's length goes from

Answers

D is the answer my dude

A bag contains 2 white balls 4 green balls. 2 balls are drawn from the bag without replacement. use a tree diagram to find the probability that the balls are white colors

Answers

Answer: 1 in 3rd chance

Step-by-step explanation:

The are 6 balls and 4 are green and the other 2 are white so if you but it in fraction form it would be 2 over 6 with simply to 1 over 3

Enter the number belongs in the green box. 78° 12 56° Round to the nearest hundredth.​

Enter the number belongs in the green box. 78 12 56 Round to the nearest hundredth.

Answers

10 is the number that belongs to the green box in the triangle.

Let us find the third interior angle in the triangle

By angle sum property the sum of three angles is 180 degrees

78+56+x=180

134 + x =180

Subtract 134 from both sides

x=180-134

x=46

So sin 56 /12 = sin 46/x

0.829/12=0.7193/x

0.069=0.7193/x

x=0.7193/0.069

The number in green box x=10.42

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im really bad at math I need help

im really bad at math I need help

Answers

option 3

center (-1,-5)

radious √41

hope this helped!

Select the correct answer

A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area

of the framed painting is 625 square centimeters, what is the side length of the bare canvas?

A

17 centimeters

B.

19 centimeters

C

21 centimeters

D

25 centimeters

Answers

Answer:

21cm

Step-by-step explanation:

Area if the canvas = L²

If the length is increased by 4

A = L²

625 = L²

L = √625

L = 25cm

If the 4cm is added to the length of the canvas, the original length will be 25-4 = 21cm. hence the length of the bare canvas is 21cm

Answer:

Other guy is correct, please give him brainliest.

A person gives away 1 penny on day zero, 2 pennies on the 1st day, 4 pennies on the 2nd day, 8 pennies on the 3rd day, 16 pennies on the 4th day, and so on.
1) Is this a linear or an exponential function?

2) Write a function f(x) for the number of pennies given on day x.

Answers

A function can represent a linear relationship or a non-linear relationship

The function is an exponential functionThe function for the number of pennies given as: f(x) = 2^x

How to determine the function type

From the question, we have that:

The pennies given each day is 2 multiplied by the penny given on the previous day.

Since the function involves products, then it is an exponential function

The function equation

The initial value of the function is:

a = 1

The rate of the function is given as:

r = 2

An exponential function is represented as:

\(f(x) = ar^x\)

So, we have:

\(f(x) = 1 * 2^x\)

\(f(x) = 2^x\)

Hence, the function for the number of pennies given as: f(x) = 2^x

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plase answer the second one
thanks​

plase answer the second onethanks

Answers

Answer:

0,01

Step-by-step explanation:

0,0001 = 1 / 10000

√0,0001

= √( 1 / 10000 )

= √1 / √10000

= 1 / 100

= 0,01

Kid Know what to put here

Kid Know what to put here

Answers

Answer:

ok i dont knkw what is that lol

How are the properties of exponents used when dividing a polynomial by a monomial?

Answers

Answer:

a couple different obes

Step-by-step explanation:

there are five

Find the relationship between p and q if px*2+2x-q is a perfect square. please help me ASAP​

Answers

\(\displaystyle\\Answer:\ p=-\frac{1}{q}\)

Step-by-step explanation:

A perfect square has equal sides

Hence, px²+2x-q has equal roots (D(discriminant)=0)

\(\displaystyle\\D=2^4-4*p*(-q)\\D=2*2+4pq\\D=4+4pq\\D=0\\\Rightarrow\ 0=4+4pq\\Divide\ both\ parts\ of\ the \ equation\ by\ 4:\\0=1+pq\\0-1=1+pq-1\\-1=pq\\Divide\ both\ parts\ of\ the \ equation\ by\ q(q\neq 0):\\-\frac{1}{q}=p\\ Thus,\\p=-\frac{1}{q}\)

express -64/112 as a rational number with denominator 7.​

express -64/112 as a rational number with denominator 7.

Answers

Answer:

\(\boxed{\sf \ \ \ -\dfrac{4}{7} \ \ \ }\)

Step-by-step explanation:

hello

\(64=16*4\\112=16*7\\so \\\dfrac{-64}{112}=-\dfrac{16*4}{16*7}=-\dfrac{4}{7}\)

hope this helps

Can someone help me solve X=4y-1

Answers

y=1/4(x+1) is the solution of the equation x=4y+1.

The given equation is x=4y-1.

x equal to four times of y minus one.

In the equation x and y are the variables and minus is the operator.

We need to solve for y in the equation.

Add 1 on both sides of the equation.

x+1=4y-1+1

x+1=4y

Divide both sides of the equation with 4.

y=1/4(x+1)

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hwlp me i need help PLZZZZZZZZZZZZZZZZ

hwlp me i need help PLZZZZZZZZZZZZZZZZ

Answers

The answer is 16 hope this helps

My bad

the answer is 16

I'm going to refrain from answering area problems from now on. Deepest Apologies

Perfect square of y^2 + 4y + _

Answers

Answer:

y^2+4y+4

Step-by-step explanation:

Hope this helps! Plz give brainliest!

Answer: (y+2)^2

Step-by-step explanation: (y+2)(y+2) would equal y^2 + 4y +4. Use the FOIL method.

Ms. Baynes has $70 and spends $6 on each of y books.​

Answers

Answer:11 step by step
6y=70 well 70/6 is 11.666……. and well she only has 70$ so she can only by 11 books

What is the length of the radius of a circle with a center at 2+3i and a point on the circle at 7+2i

Answers

Answer:

\(\sqrt{26}\)

what’s the axis of symmetry & vertex *PICTURE*

whats the axis of symmetry & vertex *PICTURE*

Answers

Answer:

2.5

Step-by-step explanation:

:)

what is the Coefficient in
3x + 7

Answers

3 is the coefficient

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is always the number next to the unknown or in this case, x

need help on this question please!!!!

need help on this question please!!!!

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

our baseline here is

5 + 9 = 14 ft.

the height is 12 ft.

so, the area is

14×12 / 2 = 14×6 = 84 ft²

Find the area for 5cm 6cm 7cm

Answers

5 x 6 x 7 = 210
the area is 210cm^2

ratio analysis can be made more meaningful in all the following ways except by?

Answers

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Y = (x+7)(x+3)
vertex
minimum
y-intercepts
x-intercepts

Answers

Answer:

Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)

Step-by-step explanation:

Y = (x+7)(x+3)vertexminimum y-interceptsx-intercepts
Y = (x+7)(x+3)vertexminimum y-interceptsx-intercepts

Juan bought 7.8 pounds of grapes for 2.85 per pound how much did Juan spend on grapes

Answers

Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.

What is a unitary method?

A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.

Given that:

Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.

The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds,      i.e.  

= (7.8×2.85)

= 22.23.

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Can you please help me

Can you please help me

Answers

Answer:

it would be the first one because it has a value of 1,966. and the second one has a value of 983 so the first one would be the one with the greater value

help help I will give coins if you answer my all questions correctly ​

help help I will give coins if you answer my all questions correctly

Answers

Step-by-step explanation:

supplements :

a) 180-110 = 70°

b) 180-135 = 45°

c) 180-150= 30°

d) 180-70=110°

e) 180-45= 135°

a) 4x +5x = 180° (as they are linear pair)

9x=180°

x=180/9

x=20°

4x = 4×20 = 80°

5x = 5×20= 100°

b) 2x-10° + 3x+20° = 180°(as they are linear pair)

5x+10° = 180°

5x= 180°- 10°

5x = 170°

x= 170/5

x= 34°

2x-10° = 2×34-10= 68-10 = 58°

3x+20° = 3×34+20° = 102 + 20° = 112°

c) complementary angles = 90°

let the common ratio be x.

first number is 2x

second number is 3x

2x+3x= 90°

5x= 90°

x=90°/5

x= 18°

first number = 2x = 2×18 = 36°

second number = 3x = 3×18° = 54°

d)

let an angle = x°

Then, complementary Angle of x° = 90° - x°

Difference between the angles = 10°

So, equation = x° - (90° - x°) =

10°x° - 90° + x° =

10°2x° - 90° = 10°2x°

= 10° + 90°2x° = 100°x°

= 100°÷2x° = 50°

An Angle = 50°

Second Angle = 90° - x° = 90° - 50° = 40°

A microwave raises the temperature of water by about 80°F in 5 minutes. Which graph has the slope that represents this rate of increase?

A microwave raises the temperature of water by about 80F in 5 minutes. Which graph has the slope that
A microwave raises the temperature of water by about 80F in 5 minutes. Which graph has the slope that

Answers

Since the microwave raises the temperature of water by about 80°F in 5 minutes, the graph that has the slope that represents this rate of increase is option A.

What is the temperature about?

Temperature is seen as a given unit used to stand for hotness as well as the coolness  of a given object or thing, it is said to be mostly  in Fahrenheit as well as Celsius.

Based on temperature, heat energy is one that tends to shift from a hotter  part of a body  to a colder part of the same body.

Note that:

Temperature = 80

Minutes = 5

Y = m

5m  = 80

m = 80/5

m = 16

So y  = 16x

Therefore, the graph that can give you the value above is graph A.

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