By some miracle, a Smudgy Press book is found to have 90% of its pages free of typographic errors. Assuming that the distribution of the typographical errors per page is Poisson, what is the probability that a randomly selected page contains exactly one error

Answers

Answer 1

Answer:

The value is  [tex]P(X = 1 ) = 0.0948[/tex]

Step-by-step explanation:

From the question we are told that

  The  the probability that the Smudgy Press book pages have zero  errors   [tex]p = 0.90[/tex]

Gnerally the probability distribution for Poisson distribution is  

        [tex]P(X = x) = \frac{\lambda ^x * e^{-\lambda}}{x!}[/tex]

Gnerally the probability that the Smudgy Press book pages have zero  errors is mathematically represented as

       [tex]P(X = 0) = \frac{\lambda ^0 * e^{-\lambda}}{0!} =p= 0.90[/tex]

=>    [tex]e^{-\lambda} =p= 0.90[/tex]

taking natural  log of both sides

       [tex]ln (e^{-\lambda}) = ln(0.90)[/tex]

=>     [tex]-\lambda = -0.1054[/tex]

=>   [tex]\lambda = 0.1054[/tex]

Generally the probability that a randomly selected page contains exactly one error is mathematically represented as

         [tex]P(X = 1 ) = \frac{\lambda ^1 * e^{-\lambda}}{1!}[/tex]

=>       [tex]P(X = 1 ) = \frac{0.1054 ^1 * e^{-0.1054 }}{1!}[/tex]

=>       [tex]P(X = 1 ) = 0.0948[/tex]


Related Questions

I WILL AWARD EXTRA 50 POINTS AND BRAINLIEST
Raise the monomial to a power:
5x2y3 to the power of 2

–4ax3 to the power of 3

–2m3n2t the power of 4

–a2bc3 to the power of 5

Answers

Answer

1.    52x4y6

2.         −2  2  ax  27

3.-2m3n2t4

4.−a  2  bc  243

I dont have an explination sorry

and maybe no spaces

How much is 0 x , where x is any non-zero number? How much is 0 x for any positive power of x? How much is 0 0 ? Explain.

Answers

Answer:

Step-by-step explanation:

The value X° where x is non zero number will give a value of 1 because any value raise to the power of zero gives 1.

For example if X = 2, 2° = 1

For the expression 0^x, this will result into zero for any positive power of x. Let x be 3 for example,

0³ = 0×0×0

0³ = 0

Also if x = 4

0⁴ = 0×0×0×0 = 0

Therefore, no matter the value of x, rge value 0^x will return back zero.

For 0^0 this value is an indeterminate function i.e we cannot determine the the value. The value cannot return Amy positive or negative real number on the number line. Hence 0^0 is indeterminate.

3.) If a search engine on the internet can return 2.87 x 10 results in one second, how many
results can be expected after one minute?

Answers

Answer:

You can expect 1,722 results in one minute.

Step-by-step explanation:

look at screenshot plz

Answers

Move the decimal 5 places to the right

Hope this helped ;)

-5(2x - 1) + 3x
How do I simplify this?

Answers

Answer:

-7x + 5

General Formulas and Concepts:

Distributive Property

Combining Like Terms

Step-by-step explanation:

Step 1: Write expression

-5(2x - 1) + 3x

Step 2: Simplify

Distribute -5:                   -10x + 5 + 3xCombine like terms:       -7x + 5

What is 4 2/3 divided by 7

Answers

Answer: 8/21

Step-by-step explanation:

Which of the following describes the quotient of 4 and -44?

Answers

Answer:

the answer to 4 divided by -44 is -11

Step-by-step explanation:

find the value of X and Y if (2x + 3) + i(x – 2y) = 5 – 7i​

Answers

Answer:

x = 1, y = 4

Step-by-step explanation:

Given

(2x + 3) + i(x - 2y) = 5 - 7i

Equate the real parts on both sides

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Equate the coefficients of the imaginary terms

x - 2y = - 7 , that is

1 - 2y = - 7 ( subtract 1 from both sides )

- 2y = - 8 ( divide both sides by - 4 )

y = 4

At the end of every month, Michael deposits $70 into his savings account. After 11 months, Michael's account had a total of $1250. Which of these equations expresses the amount y Michael has in his savings account after x months?
Answers:
y=70x

y−11=70(x−1250)

y−1250=70(x−11)

y=70x+1250

Answers

Answer:

the first one makes the most sense

Step-by-step explanation:

the others would equal to much but the first one would not

if [tex]x\leq cy+D[/tex], solve for y in terms of x, c and d? (c>0)

Answers

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[tex]x \leqslant cy + D[/tex]

Subtract sides D

[tex]x - D \leqslant cy + D - D[/tex]

[tex]x - D \leqslant cy[/tex]

Divide sides by c

[tex] \frac{x - D }{c} \leqslant \frac{cy}{c} \\ [/tex]

[tex] \frac{x -D}{c} \leqslant y \\ [/tex]

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Subtract. Express your your answer in lowest terms 21/25 - 7/25

Answers

Answer:

14/25

Step-by-step explanation:

If the denominators are the same, subtract the numerators.

21/25-7/25=14/25

14 and 25 do not have any similar factors greater than 1, so we keep it as 14/25.

Line b passes through the points (0,5) and (2,-1). Which of the following functions is
parallel to b and contains the point (11,-3)?

Answers

Answer:

y = -3x + 30

Step-by-step explanation:

A great website to use for graphing is desmos. You first graph the starting 2 points, turn it into a line connecting it, then make an equation. You should get y = -3x + 5, so when we look for something parallel it should have the same slope. I then put into the graph every equation along with the dot (11,-3) and looked to see which intersected.

Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.
The perimeter of parallelogram ABCD is 46 inches. What is DA?

3 in.
4 in.
8 in.
19 in.

Answers

Answer:

4

Step-by-step explanation:

trust

The value of DA in parallelogram ABCD is 4 inches.

Parallelogram

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.

In parallelogram ABCD:

AB = DC, AD = BC

Hence:

8x - 5 = 3x + 10

5x = 15

x = 3 units

AB = 8(3) - 5 = 19 inches

Let y = AD = BC:

AB + BC + DC + AD = perimeter

19 + 19 + y + y = 46

y = 4 inches

The value of DA in parallelogram ABCD is 4 inches.

Find out more on parallelogram at: https://brainly.com/question/970600


hi help thank y


5 1/5 + 8 7/20 ?

Answers

Answer:

191/20 or 9 11/20

Step-by-step explanation:

Answer:

13 8/25  is the answer

Step-by-step explanation;

Add the whole number

    2. Add the numerator

    3. Add the denominator

Remember the Numerator is above the fraction line.

      denominator is under.

You should get: 13 8/25

Decimal Form: 13.32

Hope this helps

A student is asked to calculate the value of 133 using the identity (x + y)3 = x3 + 3x2y + 3xy3 + y3. The student's steps are shown below.

Step 1: 133 = (10 + 3)3

Step 2: = (10)3 + 3(10)2(3) + 3(10)(3)2 + (3)3

Step 3: = (1,000) + (180) + (270) + (27)

Step 4: = 1,477

The correct answer should be 2,197. In which step did the student make his first error?

Answers

Answer:

I think his first error is step2

What is the correct value of d?

Answers

D equals -5
Hope I helped

PLS HELPPP ASAP I WILL GiVE BRAINLIEST!!!!!




A function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Answers

Answer:

Yes,

Step-by-step explanation:

Because every "x" Value corresponds to exactly one "y" value.

Yes, the relation is a function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given relation is {(3,2), (1, -2), (2, -4), (3, -2)}.

We need to check whether the relation is a function or not.

A function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

As we observe the given relation three comma two, one comma minus two, two comma minus four comma three comma minus two.

Yes, the given relation is a function because there is no x value is repeated. Every y value has an unique x value.

Hence, the relation is a function.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ6

Eve saw 715 cars in her front yard. 2/5 of the cats were black. How many black cats were in Eves front yard.

Answers

286 cats should be the correct answer

Imaginary Numbers (File attached)

Answers

Answer:

6/5-3/5i

Explanation:

Remove the parentheses, factor, reduce the fraction and separate the real and the imaginary numbers.

4 ) At a construction job for a store, 6 painters were tasked with painting the interior.
These painters made up 40% of the painting crew, so how many painters in all worked on
this job? Round your answer to the nearest whole number if necessary.

Answers

Answer: 15

Step-by-step explanation:

6/0.4 = 15

649+n= 700 +27

295-38 =n-24

Answers

Question 1

[tex]649+n=700+27\\ \\649+n=727\\ \\ n=\boxed{78}[/tex]

Question 2

[tex]295-38=n-24\\\\257=n-24\\\\n=\boxed{281}[/tex]

What color would you see if there was an endless wall of clear glass with no background.

Answers

Answer:

Clear

Step-by-step explanation:

I'd probably imagine a bunch of images

Clear because glass is clear

Help with this. Simplify ! Show work please thank you ❤️

Answers

Answer:y=21

Step-by-step explanation:

y= 7 x |5-8| +72 + 0^2

y= 7 x 3 + 0

y=21

95 +(-68) = 36 explain

Answers

Answer:

That is false.

Step-by-step explanation:

The left side would be 95-68, which equals 27, which isn't 36.

Write an equation of the line, in the requested forms, that passes through the given point and is perpendicular to the given line. (-8,5) y=4x-4

Answers

Answer:

y = (-1/4)x + 3

Step-by-step explanation:

to find the perpendicular slope you just find the reciprocal of 4 which is (-1/4)

then find the y-intercept making the line go through (-8, 5) so you do:

y = (-1/4)x + b

5 = (-1/4)(-8) + b

5 = 2 + b

-2  -2

3 = b

The volume of a cube is 729 inches³. How long is each side

Answers

The cube root of 729 is 9, so the length of each side of the cube is 9 feet.

Answer:

243 inches

Step-by-step explanation:

We know that a cube's sides are all the same, so divide 729 by 3

729 ÷ 3

243

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Twice the difference of 9 and a number.

Answers

Explanation:

Difference indicates subtraction:

The difference of a number and

9

is

(

x

9

)

Twice the difference means

2

(

x

9

)

We know that the answer to this is

2

, so as an equation:

2

(

x

9

)

=

2

If you solve it we would have:

x

9

=

1

 

÷

2

x

=

1

+

9

x

=

10

The difference between

10

and

9

is

1

and twice

1

is

2

.

The number is correct.

Note that written as:

The difference of twice a number and

9

would have a different expression. This would be

2

x

9

Did this help? if so leave a thanks!

Two angles are complementary, as shown in the diagram below.

15°
Part A: Use the definition of complementary angles to set up an equation that can be used to solve for the value of c.
Part B: Solve for the value of x. In your final answer, include all of your calculations.

Answers

Answer:

A; x + 15 = 90

B: x = 75

Step-by-step explanation:

A: complementary angles are angles that add up to 90 degrees. This means that x and 15, the two angles that are complementary, will add up to 90:

x + 15 = 90

B: For B, you just need to solve the equation for x:

1. x + 15 = 90

2. x = 75

Step 1 is the given equation

In step 2, 15 was subtracted from both sides

2. Half of the pieces of fruit in the bowl are apples. There are
also 3 oranges, 2 pears, and a banana.
How many apples are there in the bowl? Show your work!

Answers

Answer:

6 apples

Step-by-step explanation:

3+2+1 = 6 and 6 × 2 is 12 therefore half of the fruit is 6 so six apples (if that makes sense HAHA)

Mskskdkskekekdbsn nkfjrjrmrnrrr

2) What is 150% of 136?
3) What is 200% of 185?
4) What is 200% of 17?
5) What is 10% of 40?
6) What is 150% of 32?
7) What is 50% of 502 I
8) What is 10% of 160?
9) What is 125% of 196?
10) What is 50% of 4?
11) What is 100% of 170?
12) What is 100% of 97?
13) What is 125% of 144?

Answers

Answer-

2. 204
3. 370
4. 140
5. 4
6. 48
7. 251
8. 16
9. 629
10. 2
11. 170
12. 97
13. 180

Answer: 2. 204

3. 370

4. 140

5. 4

6. 48

7. 251

8. 16

9. 629

10. 2

11. 170

12. 97

13. 180

Step-by-step explanation:

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