A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts

Answers

Answer 1

Answer:

0.0214

Step-by-step explanation:

Given that :

p = 5% = 0.05

Number of trials (n) = 5

probability that the sample contains exactly two defective parts

P(x = 2)

Using the binomial probability function :

P(x = x) = nCr * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 10 * 0.0025 * 0.857375

= 0.021434375

= 0.0214


Related Questions

hi my question is what is 72x13​

Answers

936 is the answer :)))))))))))

Answer:

936

7 2

×  1 3

2  

2 1 6

7 2 0

9 3 6

Brainleist?

PLSSS HELPSSSSSSSSSSS
what is 10 times 1 5 in simplest form?

Answers

10 times 15 would be 150, but I don’t think you can write it in simplest form...

Answer:

150

Step-by-step explanation:

There is no way to write 150 in simplest form

that is the only way to write it unless you 2ant to write it like this 150/1

ITS DUE IN LIKE 5 MINUTES PLEASE HELP


Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.


How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?



Answer the questions to solve this problem using a system of equations.


You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. Write your answer in the space below.



5. Solve the system of equations. Show your work. Write your answer in the space below.





I need help ASAP

Answers

Answer:

it will take 1/5 of a day for Amir to catch up to Jesse

Step-by-step explanation:

30x = 35x - 1

30x - 35x = - 1

-5x = -1

-5x/-5 = -1/-5

x = 1/5

Answer: brainliest pls

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is more than 0.89

Answers

Answer:

0.60515

Step-by-step explanation:

Given that:

Population proportion p = 0.9

Sample size = 64

Probability that sample proportion is more Than 0.89

P(p" > 0.89)

(p" - p) ÷ sqrt(p(1 - p) /n)

P(Z > p")

P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))

P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))

P(Z > (-0.01) / sqrt(0.00140625))

P(Z > - 0.26667) = 0.6051

Using the Z probability calculator :

P(Z > - 0.26667) = 0.60515

Suppose a random sample of 50 college students is asked if they regularly eat breakfast. A 95% confidence interval for the proportion of all students that regularly eat breakfast is found to be 0.69 to 0.91. If a 90% confidence interval was calculated instead, how would it differ from the 95% confidence interval

Answers

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Here we see that

           [tex]E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } [/tex]

    Here  [tex]Z_{\frac{\alpha }{2} } [/tex]  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  [tex]Z_{\frac{\alpha }{2} } [/tex]  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant

Mr. Harris has 54.8 acres of land. Mr. Fitz has 0.35 times as many acres as Mr. Harris has. How many acres of land does Mr. Fitz have?

Answers

Answer: 19.8 acres

Step-by-step explanation:

multiply 54.8 by .35 to get 19.18

Give the solution to the system.
-3x + 2y = 3
2x + y = -2
(_,_)​

Answers

Answer:

(-1, 0)

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=−2;−3x+2y=3

Step: Solve2x+y=−2for y:

2x+y+−2x=−2+−2x(Add -2x to both sides)

y=−2x−2

Step: Substitute−2x−2foryin−3x+2y=3:

−3x+2y=3

−3x+2(−2x−2)=3

−7x−4=3(Simplify both sides of the equation)

−7x−4+4=3+4(Add 4 to both sides)

−7x=7

−7x

−7

=

7

−7

(Divide both sides by -7)

x=−1

Step: Substitute−1forxiny=−2x−2:

y=−2x−2

y=(−2)(−1)−2

y=0(Simplify both sides of the equation)

Easy points

Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.

Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?

Answers

Answer:

35

Step-by-step explanation:

*I'm just gonna answer this*

When you are 70, your brother will be 67.

If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?

Answers

Answer: 12.20

Step-by-step explanation:

because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.

Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two

Answers

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc

Answers

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

Answer:3

Step-by-step explanation:

Im assuming you meant 8ab/2bc

So adding all the numbers you'll have

8x3x12/2x12x4

You first reduce the 12 in the fractions making it

8x3/2x4

and then you reduce the 8 and 2 making it 4

so you'll have

4x3/4

One last time you reduce the two fours making the

answer: 3

Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. The graph look identical so he believes that the equations represent the same line. What mathematical argument can he construct to show that the two forms are equivalent?

Answers

Darren can change the 2x+5y=15 into slope-intercept form and it would be the same equation therefore on a graph it would be the same line because the slope and y-intercepts are the same

The slope and the intercept of both lines are the same. Because of that, the lines are identical.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.

The general form of the equation of the line is:-

y = mx + c

y=-2/5x+3

Solve the equation to form their general form.

2x+5y=15.

5y = 15 - 2x

y = ( 15 / 5 ) - 2 / 5x

On comparing the two lines it is observed that the lines are having the same slope and intercept.

Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

What is the approimate volume of the cylinder? Use 3.14 for pie

Answers

Answer:

150.72

Step-by-step explanation:

8 x 6 x 3.14 = 150.72

Answer:

150.72

radius times pi

then you have the value of the inside

times it by the height

and you have the volume

2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram

Answers

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

PLEASE HELPPP ME ITS DUE TODAY

Answers

Answer:

Randall: 44, Amy: 35

Step-by-step explanation:

Four years ago, their age added up to 71. Since four years have passed and they've each grown four years older since then, their ages added up together is 79. Here is the equation for Amy: x + (x + 9) = 79. We can simplify to get 35. Now we add 9 to 35 to get Randall's age. So, Amy's age is 35 and Randall's age is 44, and 35 + 44 = 79.

Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.

Answers

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence

Answers

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answers

Answer:

72.13

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answer:

67.55 rounded to the nearest cent.

Step-by-step explanation:

The answer is 67.55 because since 100% minus 8.7% is 85.5% and 85.5% of 67.55 is 67.55 rounded.

The equation of this line is y = 7x + 3. What would happen to the graph if the equation was changed to y = 2x + 6?

Answers

Answer:

From the graph,

The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)

it is clear that the slope and y-intercept  have been changed.

. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +​

Answers

Answer:

3 boxes of maracas

Step-by-step explanation:

9 x 2 = 18

18 ÷ 6 = 3 boxes of maracas

Answer:

He needs to get three boxes.

Step-by-step explanation:

We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.

8 * 2= 16

You add the two maracas for himself to find the total maracas needed.

16+2= 18

Next you divide the amount of maracas needed by six because the are six maracas per box.

18÷6=3

The total number of boxes needed is three

Subtract 8 feet from 9 yards, 1 foot.

7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foo

Answers

Answer:

6 yards 2 feet

Step-by-step explanation:

3 feet per yard making 9 yards and one foot = 28 feet

subtract 8 feet = 20 feet

6 yards 2 feet

6. The measure of angle Q is 70 degrees. Find the measure of angle P.
Р
Q
R

Answers

Answer:

angle P measures 40 degrees

Step-by-step explanation:

triangle with 2 equal sides has 2 equal angles also (isosceles triangle)

if angle Q is 70, then R is 70

sum of all interior angles of a triangle is 180; therefore, angle P must be 180-140

Help help it’s geometry I need help

Answers

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo

Answers

Answer:

Cantaloupe = $6, peach=$5

Step-by-step explanation:

[tex]8x+3y=63\\2x+3y=27\\[/tex]

Subtract the first one from the second one

[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]

Plug in:

[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]

Hope this helps plz hit the crown :D

What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?

The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.

Answers

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

To learn more about vectors, refer;

https://brainly.com/question/13322477#SPJ2

#SPJ2

Can someone please help me with this question i have 3 minutes left

Answers

Answer:

It will cost 11 cents a day.

Step-by-step explanation:

1.98/18=11

plzz have brainiest

What is the ratio
18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours

Answers

Answer:

I believe the answer would be 9

Step-by-step explanation:

I am sorry if I am wrong let me know.

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza? At this rate, how much cheese will she need to make 15 pizzas?

Answers

Answer:

vkigiots88558s,utt8z85a85a5s85t8s84

Answer:

a. She uses 2.5 ounces per personal pizza

b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas

Step-by-step explanation:

a. 10/4= 2.5

b. (2.5)x15= 37.5


Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.

Answers

Answer:

61

Step-by-step explanation:

7×6 = 42

42+ 19 = 61 Sorry if I'm wrong I tried

(Identify the type of sampling method used.) A candidate for the senate creates an automated message that calls every third listed phone number and reminds them to vote for him in the upcoming election.

Convenience Sampling
Cluster Sampling
Systematic Sampling
Stratified Sampling

Answers

Answer:

Systematic Sampling

Step-by-step explanation:

Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.  

In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.

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