In a laboratory, 3 technicians are analyzing the active ingredient in the product vials. Amir, Betty, and Carlos analyze 0.55, 0.30, and 0.15 of the vials, respectively. Inaccurate are 0.6 percent of the analyses conducted by Amir, 0.4 percent of the analyses conducted by Betty, and 1.0 percent of the analyses conducted by Carlos in this study. What is the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos

Answers

Answer 1

Answer:

The probability is    [tex]P(C | I) =  0.025[/tex]    

Step-by-step explanation:

From the question we are told that

      The  proportion analyzed by  Amir is  P(A) =  0.55

      The proportion analyzed by  Betty is  P(B)  =  0.30

     The  proportion analyzed by  Carlos is  P(C) =  0.15

     The inaccuracy by  Amir  is   p = 0.6% =  0.006

     The inaccuracy by  Betty  is  b = 0.4% = 0.004

    The inaccuracy by  Carlos  is c = 0.1% =  0.001

Generally the probability of inaccurate analysis is mathematically represented as

     [tex]P(I) =  P(A) *  p  +  P(B) *  b  +  P(C) *  c[/tex]

=>  [tex]P(I) =  0.55 * 0.006  +  0.30  *  0.004  +  0.15  *  0.001 [/tex]

=>  [tex]P(I) =  0.006 [/tex]

Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as

       [tex]P(C | I ) =  \frac{P(C) *  c}{P(I)}[/tex]

=>     [tex]P(C | I) =  \frac{   0.15  *  0.001}{ 0.006}[/tex]

=>     [tex]P(C | I) =  0.025[/tex]    


Related Questions

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. What is the probability that exactly 5 companies that outsource overseas use a consultant

Answers

Answer:

0.1Step-by-step explanation:

please see attached the annotated solution

Given data

p=20%= 0.2

n=15 companies

let x = 5 the number of companies that outsource to overseas consultants

The binomial  probability distribution is given as

P(x=λ)=nCx*P^x*q^n-x

we also know that q=1-p

g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?

Answers

Answer:

16

Step-by-step explanation:

In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;

Let set A = {a, b, c, d}

Power of the set P(A) = [tex]2^n[/tex] where:

n is the total number of element in the set. Since we have four elements in the set, n = 4

[tex]P(A) = 2^4\\P(A) = 16[/tex]

This means that the set A have 16 subsets. The subsets of the set are:

{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.

From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.

Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16

When holding your arms horizontal, your body is the line of reflection. true or false?

Answers

Answer:

true

Step-by-step explanation:

Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection

Hope this helps.

All my digits are the same. The sum of my digits is greater than twelve. The sum of my digits is less than sixteen. Who am I?

Answers

Answer:

7and 7

Step-by-step explanation:

sum 7+7=14is greater than 12and less16

Find the measures of the missing values.

Answers

1. X and Y= 39 (180-102=78, 78 divided by 2=39)

Are the statements true or false?

Select True or False for each statement.

Statement True False

1/ 4 · 3/ 4 = 3 /4 · 1/ 4

3/4÷2/5=2/5÷3/4

Answers

Answer:

It Is true and then false

Step-by-step explanation:

1/2x - 3 =7
helppp please.

Answers

Answer:

x = 20

Step-by-step explanation:

Original Equation:

1/2x - 3 = 7

(1/2x can be written as 0.5x)

0.5x - 3 = 7

Add 3 to both sides.

0.5x = 10

Divide both sides by 0.5

x = 20

Hope this helped :)

Please consider Brainliest :)

$46.20 for 12 pizzas, how much per pizza

Answers

Answer:

3.85

Step-by-step explanation:i did the math .... :)

Brainliest!!
If I have 2000 cakes and I give 1000 away and eat 500 and then make 250 more and then cut all that I have left in half how many cakes do I have?

Answers

Answer:

You would have 750 whole cakes

OR 1500 half cakes

Step-by-step explanation:

Have a great day! :)

Answer: You would end up with 375 cakes left :)

which function has the same domain as y=2_/x?​

Answers

Answer:

A. y = square root of 2x

We are given the function

y = 2 √x

We are asked for the function that has the same domain as the given function

First, the domain for the given function is this

{ x | x ≥ 0 }

So, any function that has a domain of x that is equal to or greater than 0. Some examples:

f(x) = √x  -  2

f(x) = 5 √x

Angelina puts 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the tub now has 35 liters of water in it. Angelina explain he is wrong. Explain who is correct and why ​

Answers

Answer:

-Angelina is correct

Explaintion: Jack in incorrect because it seems that he messed up is place order. He might have thought that 1 liter is equal to 100 mililiters instead of 1,000. That way he might have gotten 30+5=35  instead of 5+3=8

Step-by-step explanation:

3000 ML+ 5L

1 milliliter has 0.001 liters in it.

3000ML= 3L

Angelina has 8 lieters of water in the tub now.

James pald $150 for 5 calculators. What is the unit rate?

Answers

Answer:

Unit rate = $ 30.

Step-by-step explanation:

Unit rate = Total cost ÷ Number of calculators

              = [tex]\frac{150}{5}[/tex]

             = $ 30

Answer:

$30 per calculator

Step-by-step explanation:

To find the unit rate of the calculators, take the total price of calculators and divide it by 5 to get 30.

This method works when finding any unit rate even when it doesn't involve prices.

*Tip* When dividing, write it as a fraction in case the quotient is not a whole number.

Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?

Answers

Answer: 10 tulips, 10 lilies and 23 roses.

Step-by-step explanation:

Let's define the variables:

T = number of tulips that Jennifer bought

L = number of lilies that Jennifer bought

R = number of roses that Jennifer bought

Each tulip costs $0.18

Each lily costs $0.27

Each rose costs $0.55

We know that:

"She bought the same number of tulips as lilies."

T = L

" She bought three more roses than tulips and lilies combined."

R = T + L + 3

"she paid $17.15 in all"

T*$0.18 + L*$0.27 + R*$0.55 = $17.15

Then we have a system of 3 equations:

T = L

R = T + L + 3

T*$0.18 + L*$0.27 + R*$0.55 = $17.15

The first step to solve this is to replace the first equation into the other two, and get:

R = 2*L + 3

L*$0.18 + L*$0.27 + R*$0.55 = $17.15

Now we can replace the first equation into the second:

L*$0.18 + L*$0.27 + (2*L + 3)*$0.55 = $17.15

Now we can solve this for L.

L*($0.18 + $0.27 + 2*$0.55) + 3*$0.55 = $17.15

L*$1.55 + $1.66 = $17.15

L*$1.55 = $17.15 - $1.66 = $15.50

L = $15.50/$1.55 = 10

Then Jennifer bought 10 lilies.

And by the other two equations:

T = L = 10

She bought 10 tulips.

R = L + T + 3 = 10 + 10 + 3 = 23

She bought 23 roses

What is the Esquire root of 3?​

Answers

Answer:

1.732

Step-by-step explanation:

.......................

Answer: 1.7321


Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .

I hope you find this helpful.

what is 3/8 divided by 2/5

Answers

Answer:

15/16

Decimal form: 0.9375

plz mark as brainliest :DD

Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y+5 = -0.7 (x-1)

Step-by-step explanation:

m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7

ITS URGENT
(5−x)(2x+7)(x−3)≤0

Answers

Answer:

− 7 2  ≤  x  ≤  3   or   x ≥ 5

Step-by-step explanation:

Basically isolate X,

(Sorry, I don't have time to explain deeply)

Hope I helped!! :)

Answer:

x is part of [-7/2,3]U[5,+infinite [

what is 8 plus 8 over 1 with the power of 4

Answers

65,536 welcome :))))))

65,536 , that is the answer.

An isosceles triangle is transformed such that the vertex P' corresponds to the vertex P.


Which statement describes the transformation of the triangle?

The triangle was reflected over the y-axis.
The triangle was translated to the right 8 units.
The triangle was dilated.
The triangle was rotated 180 counterclockwise.

Answers

Answer:

correct

Step-by-step explanation:

Answer:

It is D, I just took the test.

A recipe requires 540 grams of flour for 5 cupcakes.How much flour do you need for 8 cupcakes?​

Answers

Answer:

864 grams

Step-by-step explanation:

540 divided by 5=108 grams per cupcake

108 times 8=864 grams

20% of the people in a California town consider themselves vegetarians. If 20 people are randomly sampled, find the probability that:

Answers

it should be 4 because 20% is considered vegitarian so 20 * 20% = 4

so it should be 4

Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.

Answers

Answer:

Lets take the miles for 6 hours to be x.

Using cross-multiplication, this problem can be solved.

194              4

x                  6

1164 = 4x

x = 291

Therefore, Joe drives 291 miles in 6 hours.

is this relation a function justify your answer

Answers

Answer:

D

Step-by-step explanation:

because two points on the x value shouldn't have more that one y value

To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?

Answers

Answer:

8 quarts

Step-by-step explanation:

no explanation needed this should be correct.

PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS ​

Answers

Look up decimal to percentage calculator and you can enter the decimals and get your answer because me entering all of them would be a pain

What is the value of 92?

Answers

92? LOL? in what context
The value of 92 depends on what context you are talking about. 92 is just 92...

Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?

Answers

twenty five cents !!!!

Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte superior e inferior será el doble que el margen en los lados. Encuentre el ancho de los márgenes si la parte impresa tendrá un área de 330 pulgadas cuadradas.​

Answers

Answer:

can I get an english translation

The graph models the height of a burning candle over a 10-hour period.

What is the rate of change of the candles height?

Answers

Answer:

D. -1.5 cm/hour

Step-by-step explanation:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using the coordinates of the two points on the line, (0, 18) and (4, 12),

Let,

[tex] (0, 18) = (x_1, y_1) [/tex]

[tex] (4, 12) = (x_2, y_2) [/tex]

Plug the values into the formula for rate of change.

Rate of change = [tex] \frac{12 - 18}{4 - 0} [/tex]

[tex] = \frac{-6}{4} [/tex]

Simplify

[tex] = \frac{-3}{2} = -1.5 [/tex]

Rate of change = -1.5 cm/hour

Find the 'x' coordinate of the vertex of the equation
-4x2 + 7x - 3= 0.

Answers

Answer: 7/8

Step-by-step explanation:

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