There are 3 times as many books in the town library as there are on the school library. The town library has 2,676 books. How many books are in the school library?

Answer:

a. The probability that the finished product selected is defective is 2.45%.

b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Step-by-step explanation:

Let A represents the defective product.

We also have the following from the question:

P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30

P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45

P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25

P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02

P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03

P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02

We can therefore proceed as follows:

A. Suppose that a finished product is randomly selected. What is the probability that it is defective?

To determine this, the rules of elimination is applied and we have:

P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)

Where;

P(A) = Probability that the selected product is defective = ?

Substitutes the values defined above into equation (1), we have:

P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)

P(A) = 0.006 + 0.0135 + 0.005

P(A) = 0.0245, or 2.45%

Therefore, the probability that the finished product selected is defective is 2.45%.

B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

To calculate this, the Bayes’ rule is employed as follows:

P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A)  ………….... (2)

Where;

P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?

Also, from the values already defined and obtained in part A, we have:

P(B3) = 0.25

P(A/B3) = 0.002

P(A) = 0.0245

Substituting the values into equation (2), we have:

P(B3/A) = (0.25 * 0.02) / 0.0245

P(B3/A) = 0.005 / 0.0245

P(B3/A) = 0.2041, or 20.41%

Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Answer:

3[tex]\sqrt[9]{Z}[/tex]²

Step-by-step explanation:

Expression -

(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3

Transform the expression -

³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²

Simplify - //Note: ignore the ' * '//

3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²

Simplify (Again) -

3[tex]\sqrt[9]{Z}[/tex]²

Answer:

1/4

Step-by-step explanation:

Answer:

$16.50

Step-by-step explanation:

$300 x .055 = $16.50

Answer:

m

Step-by-step explanation:

lo busque aqui y es lo que aparecio

Answer:

-5

Step-by-step explanation:

100 - 121 + 16

Power of 2 just means to multiply the number by iteself. So 10×10, 11×11, 4×4.

Answer:

5

Step-by-step explanation:

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

Answer:

On

The plane landed ON the runway.

Step-by-step explanation:

A preposition is a word that shows the relationship of a noun or pronoun with another word.

For example, in this sentence the noun is plane and we need to connect it with runway.

And on is the answer that makes the most sense.

January 19 would fall on a Tuesday

Answer:

true

Step-by-step explanation:

Answer:

It might be a trick question but if not, it is false.

Step-by-step explanation:

If you look closely you can see that L' is 4 units above the x-axis and not 3.

Answer:

1 6/7 inches of snow in 1 hour

Step-by-step explanation:

13 divided by 7 is 1 6/7

Answer:

who the holy christmas is ily

Step-by-step explanation:

maybe you call your dog that

wait do you have a dog?

anyways

thanks for the points

Answer:

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Step-by-step explanation:

The figure shown is composed of a hemisphere and a cylinder.

The volume of the figure = volume of hemisphere + volume of cylinder

Volume of the hemisphere = ⅔πr³

Radius (r) of hemisphere = 16/2 = 8 m

Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³

Volume of Cylinder = πr²h

radius (r) = 16/2 = 8 m

height (h) = 20 m

Volume of cylinder = π*8²*20 = 1,280π m³

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Yo the car is.......................Step-by-step explanation:

Answer:

1) 28 divided by 7 equals 4

2) 32 divided 8 equals 4

3) 4000 divided by 4 equals 1000

i hope these are right!

Answer:

4

1/4

1000

multiply it by the reciprocal of the 2nd number

Step-by-step explanation:

Answer:

[tex](\frac{y^{2} }{x^{2} } )[/tex]^1/2

Answer:

the answer would be y/x

Answer:

1

Step-by-step explanation:

1 is the solution of  four sixths plus one third

A number system is defined as a system of writing to express numbers.

We need to solve for four sixths plus one third

four sixths is nothing four by six

4/6

One third is 1/3

Four sixths plus one third

4/6+1/3

LCM of 6 and 3 is 6

4+2/6

6/6=1

Hence, 1 is the solution of  four sixths plus one third

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

It would be 86/9 because you would need to make it improper

Step-by-step explanation:

Answer: its still going to get 9 5/9 or 86/9 theres no common divisor for them

Step-by-step explanation:

Answer:

ik its late the answer is b

Step-by-step explanation:

just took test

The common difference in the following arithmetic sequence is B)-4.

The commonplace difference is the value between every successive quantity in an arithmetic series. Consequently, the formula to discover the not unusual distinction of a mathematics collection is: d = a(n) - a(n - 1), in which a(n) is the nth time period in the series, and a(n - 1) is the previous term (or (n - 1)th term) in the series.

That is a mathematics sequence since there is a common difference between every time period. In this case, adding −four to the preceding time period in the collection gives the following time period. In different words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .

Learn more about the common differences here: https://brainly.com/question/503167

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Answer:

D. (142886, 196914).

Step-by-step explanation:

To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.

The formula for Confidence Interval =

C.I = Mean ± t score × standard deviation/√n

n = 5 samples

Degrees of freedom = n - 1 = 5 - 1 = 4

The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776

Hence,

Confidence Interval =

169,900 ± 2.776 × 21,756/√5

169,900 ± 2.776 × 9.7295789837

169, 900 ± 27009.311259

Confidence Interval

169,900 - 27009

= 142886

169, 900 + 27009.311259

= 196914

Hence, the confidence interval = (142886, 196914)

Option D is the correct answer

Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.

In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.

Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.

The margin of error is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In this case:

[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].

[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].

Thus, the correct option is D. (142886, 196914).

A similar problem is given at https://brainly.com/question/15180581

Answer:

( 2 x +5)  ( x ^3 − 4 )

Step-by-step explanation:

I dont think this the answer your looking for, however, if you work backwards from here by expanding, you might get what you want. :)

Answer:

Mean: 1096 megabytes

Standard deviation: 215 megabytes

Step-by-step explanation:

I got the answer on Khan Academy

Answer:

Irrational number

Step-by-step explanation:

A irrational number is when the numbers cannot be written as a quotient of two integers.

Answer:

It's 10 times larger.

Step-by-step explanation:

If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.

3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9

Answer:

y=4x-10

Step-by-step explanation: