A sample of 4 different calculators is randomy selected from a group containing 12 that are defective and 36 that have no defects. What is the probability that a least one of the calculators is defective?

Answers

Answer 1

Answer: 0.69727

Step-by-step explanation:

Given: Sample size : n= 4

Number of defective calculators = 12

Number of non-defective calculators = 36

Total calculators = 12+36=48

Let X = Number of defective calculators.

The probability that a least one of the calculators is defective will be :

[tex]P(X\geq1)=P(X=1)+P(X=2)+P(X=3)+P(X=4)\\\\=\dfrac{^{12}C_1\times\ ^{36}C_{3}}{^{48}C_4}+\dfrac{^{12}C_2\times\ ^{36}C_{2}}{^{48}C_4}+\dfrac{^{12}C_3\times\ ^{36}C_{1}}{^{48}C_4}+\dfrac{^{12}C_4\times\ ^{36}C_{0}}{^{48}C_4}\\\\=\dfrac{12\times7140}{194580}+\dfrac{66\times\ 630}{194580}+\dfrac{220\times\ 36}{194580}+\dfrac{495\times\ 1}{194580}\approx0.69727[/tex]

Hence, the required probability = 0.69727


Related Questions

Diane purchased a computer that was originally sold for 1252.00 it was discounted 32% how much did she pay

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Answer:

400.64 is your answer

Step-by-step explanation:

I need brainlyest PLZ!!!!

On a bike trip across the United States Rodney notes that he covers about 190 miles every 4 days if he continues at this rate use a ratio table to determine how many miles he could bike in 6 days

Answers

Answer : 285 miles

Explanation : 190 / 4 = 47.5 —> 47.5 • 6 = 285

All the factors of 200 and all the factors of 300 are factors of 600. True or false and explain.

Answers

Answer:

true because 200 and 300 are factors of 600

Step-by-step explanation:

Answer:

I don't think so

Step-by-step explanation:

600 is a composite number.

Prime factorization: 600 = 2 x 2 x 2 x 3 x 5 x 5, which can be written 600 = (2^3) x 3 x (5^2)

The exponents in the prime factorization are 3, 1 and 2. Adding one to each and multiplying we get (3 + 1)(1 + 1)(2 + 1) = 4 x 2 x 3 = 24. Therefore 600 has exactly 24 factors.

Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Factor pairs: 600 = 1 x 600, 2 x 300, 3 x 200, 4 x 150, 5 x 120, 6 x 100, 8 x 75, 10 x 60, 12 x 50, 15 x 40, 20 x 30 or 24 x 25

Taking the factor pair with the largest square number factor, we get √600 = (√100)(√6) = 10√6 ≈ 24.494897. (Note: 2 + 4 = 6 and 49 + 48 = 97 so this square root and √6 can be easy to remember.)

The objective of monetary stimulus is to increase aggregate demand by increased open-market ____

A. supply

B. demand

C. sales

D. none of the above

Answers

Answer:

its c

Step-by-step explanation:

HAS TO BE C

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Answers

Answer:

1.8

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

3 * 3 = 9

9/5

Please mark brainliest, thank you!!

How do you find the volume of this fish tank 3feet 3feet 5feer

Answers

Answer:

Length x width x height (LxWxH)  the answer is 45

Step-by-step explanation:

Find the slope between the two points:

(2, 5) and (-2, 5)

Answers

Answer:

slope = 0

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-5/-2-2

m=0

Is it's a function yes or no

Answers

No because there are 2 outputs
There can only be one output for every input

The coffee and soup machine at the local subway station is supposed to fill cups with 6 ounces of soup. Ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of .13 ounces. Construct a 99 percent confidence interval for the true machine-fill amount.

Answers

Answer:

99% Confidence Interval = (5.824,6.036)

Step-by-step explanation:

The coffee and soup machine at the local subway station is supposed to fill cups with 6 ounces of soup. Ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of .13 ounces. Construct a 99 percent confidence interval for the true machine-fill amount.

The formula for confidence interval

= Mean ± z × σ/√n

Mean of 5.93 ounces

Standard deviation of .13 ounces.

n = 10 cups

z= z score of 99% confidence interval = 2.58

Confidence Interval =

5.93 ± 2.58 × 0.13/√10

5.93 ± 2.58 × 0.0411096096

Confidence Interval = 5.93 ± 0.106

= 5.93 - 0.106

= 5.824

= 5.93 + 0.106

= 6.036

Hence, Confidence Interval = (5.824,6.036)

HELP URGENT WILL GOVE BRAINLIEST

Answers

Answer:

A. -5i√3

Step-by-step explanation:

-√-75 = - √(i^2)* 25 *3 = - 5i√3

Do these pairs of values (x and y) represent two quantities that are proportional?
HELP ME PLEASE

Answers

Yes, it is proportional. The answer would be B.

Explanation:

The common difference in the X factors is 2, and t he common difference in the y factors is 1.

Answer:

its b but i am not sure because my text was different

-3/7 divided by 5/7
plss help ik im lazy but i have no paper lol first to help i will mark brainleist

Answers

-3/5

Hope this helped ;)

2,375×6 help i need step by step

Answers

Answer:

14250

Step-by-step explanation:

14250

6

=2375

Answer:

14,250

Step-by-step explanation:

Just multiply 6 by all of them.

Please help me answer this question please

Answers

Answer:

BCA

Step-by-step explanation:

Homework 6: angle relationships

Answers

What is the question?

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 8 more than 2 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 68?

Answers

Step-by-step explanation:

Don (8+x)

Mark (2x)

Don + Mark = 68

(8+x) + 2x =68

x + 2x = 68-8

3x =60

x =20

Therefore, Don has 28 marbles while Mark has 40 marbles

The amount  that  each boy have to sell if the total number of marbles is 68 is : Don 16  and Mark  52

Let M represent Mark and D represent Don

Hence:

M+D= 68 marbles

M = 68-D

D = 2M+8

D = 2(68-D)+8

D = 136-2D+8

9D = 144

D = 16

Thus:

Don = 16

Mark =68-16= 52

The amount  that  each boy have to sell if the total number of marbles is 68 is : Don 16  and Mark  52

Learn more here:

https://brainly.com/question/5956690

Can someone help me simplify this equation (explain how you did it please)

Answers

This is the solution step by step , hope it helps ! I’d appreciate it if you put a thanks And a brainiest !!!

HELP AGAIN ASAP IM DUMB

Answers

Answer:

the answer should be C y= -7x - 2

Answer:

c. y = -7x - 2

Step-by-step explanation:

its the only one that has the correct y-intercept (-2)

Plz help with 20-22 thank you

Answers

Answer:

#20 = 13

#21 = 1

#22 = -3

Step-by-step explanation:

Replace all of the x values in the equations for the one in the table.

Then solve.

This is the equation

Y= -4x - 3

A. x = -4

Replace x with -4.

   Y = -4 (-4) - 3

Solve.

   Y = 16 - 3

   Y = 13

#20 = 13

B. x = -1

Replace x with -1

   Y = -4 (-1) - 3

Solve.

   Y = 4 - 3

   Y = 1

#21 = 1

C. x = 0

Replace x with 0.

   Y = -4 (0) - 3

Solve.

   Y = 0 - 3

   Y = -3

#22 = -3

It costs $0.50 to download an individual song in four dollars to download an album. Jada has $15 to spend downloading music.
1. Complete the table
2. Write an equation relieving number of individual songs ($) and the number of albums (A)

Answers

Answer:

1.

                                                                                                                           

Number of individual songs, s                                  Number of albums, a  

                    6                                                                            3  

                  22                                                                           1

                   30                                                                          0

If Jada buys 6 songs, she would have spent;

= 6 * 0.5 = $3

This would leave her with = 15 - 3 = $12

With each album costing $4, she can buy = 12/4 = 3 albums

If Jada buys 1 album, she would have spent $4

This would leave her with = 15 - 4 = $11

With each song costing $0.50, she can buy = 11/0.5 = 22 songs

If Jada buys 30 songs, she would have spent;

= 30 * 0.5 = $15

This would leave her with = 15 - 15 = $0

She wouldn't be able to buy any albums.

2. One song costs $0.50 so representing that would be;

= 0.50s

One album costs $4 so representing that is;

= 4a

Jada has $15 to spend so the songs and albums must add up to $15.

Equation therefore is;

0.5s + 4a = 15

All even numbers are also perfect squares.
True or False

Answers

Answer:

Flase. Actually most perfect squares are odd numbers

Step-by-step explanation:

hope this helps

NEED brainlyest please

have a good day

ontent attribution Question Translate and simplify: the sum of 9 and -16 increased by 4. ​

Answers

Answer:

Now we'll reverse the process and translate word phrases into ... Eight more than means eight added to your present age. ... 9z−7. exercise 3.4.23. Translate each word phrase into an algebraic ... To take a sum, we look for the words of and and to see what is being added. ... Have questions or comments?

Step-by-step explanation:

C=1,9 and d=7,-7 find the midpoint of CD

Answers

Answer:

The midpoint of CD is (4, 1).

Answer:

4,1

Step-by-step explanation:

5. At a pizza party, James and his friends ate three and one-fourth cheese pizzas and two and
three-fourths pepperoni pizzas. How much pizza did they eat in all?

Answers

Answer:

how much friends cuz you can calculate without the total amount of people

What is 2/2 subtracted by 1/2?

Answers

Answer:

1/2

Step-by-step explanation:

Combine the fractions by finding a common denominator.

2/2-1/2=1/2

1/2+1/2=2/2

Answer:

Extract form- 1/2

Decimals- 0.5

Step-by-step explanation:

“One subtracted from the product of 4 and a number is 1 1”

Answers

Answer:

3

Step-by-step explanation:

4x3=12

12-1=11

Matt has soccer practice on may4. He will practice every fourth day after that. Jacob begins baseball practice on may3 and continues to practice every third day after that.what will be the first date on which they both have practice

Answers

Answer:

May 12th

Step-by-step explanation:

For Matt's practice you multiply by 3 and for Jacob's practice you multiply by  4 to get both practices to 12.

In a direct variation, y = 16 when x = 4. Write a direct variation equation that shows the
relationship between x and y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

In a direct variation, y = 16 when x = 4. The direct variation equation shows the relationship between x and y will be y=4x.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

y = 16 when x = 4

There are often two different sorts of variables in analytics. We obtained that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.

In the given equation x is the independent variable while y is the dependent variable.

16 = 4(4)

y=4x

Thus, in a direct variation, y = 16 when x = 4. The direct variation equation shows the relationship between x and y will be y=4x.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

In how many ways can a committee of three men and two women be formed from a group of nine men and nine ​women?
A committee of three men and two women can be formed from a group of nine men and nine women in ______ different ways.

Answers

can you explain more about the details

A pair of sunglasses is on sale for %26. The original price of the sunglasses was $40. What percent of the orignal prces is sale price?

Answers

Answer:$32 dollars

Step-by-step explanation:

Answer:

We are trying to find what PERCENT the sale price is of the sale price.  To do that, we will have to divide the sale price by the original price and simplify.

In percent form, it is 65%.

The sale price, $26, is 65% of the original price, $40.

Step-by-step explanation:

hopefully this answers your question

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