A quality control inspector has drawn a sample of 10 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that exactly 6 bulbs from the sample are defective? Round your answer to four decimal places.

Answers

Answer 1

Answer:

33.33 repeating percent.

Step-by-step explanation:

So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.

Hope this helps!


Related Questions

If the Circumstance of wobble ball is 242cm what is the surface area?

Answers

Answer:

1,166 is the SA

correct me if im wrong somehow

Step-by-step explanation:

a wobble ball is a sphere

circumference=8(pi)

242=8(3.14)

so 242 divided by 25.12

this ends up with 9.633757961783439, which is the radius of the circumference

SA of a sphere= 4(pi)r²

SA=4(3.14)9.633757961783439²

SA=4(3.14)92.80929246622581

SA=1,165.684713375796

rounded to the nearest whole # = 1166

Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an equation that shows the relationship between time and ounces of water. Use t for time in seconds and w for ounces of water.

Answers

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

Which of the following is a point-slope equation of a line that passes through the points (-1, 4) and (8,-2)?

A. y-4= -3/2(x+1)
B. y-4= -2/3(x+1)
C. y-4= 2/3(x+1)
D. y-4= -2/3(x-1)​

Answers

Answer:

B

Step-by-step explanation:

We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's find the slope of the line first. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]

We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).

Substitute:

[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]

Simplify:

[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]

Therefore, our answer is B.

What is the completely factored form of this polynomial? 4x^4+12x^2+9

Answers

Answer:

(2x^2+3)^2

Step-by-step explanation:

See image below:)

Find the 7th term of the sequence

1, 4, 16, 64,...



28

16,384

4096

2401

Answers

Answer:

3rd option, 4096

Step-by-step explanation:

4⁰ = 1, 1st term

4¹ = 4, 2nd term

4² = 16, 3rd term

.

.

.

4⁶ = 4096, 7th term

Answered by GAUTHMATH

SOLVE ASAP! PLS HELP ME!!!

Answers

9514 1404 393

Answer:

  A.  2.1

Step-by-step explanation:

Put the numbers in the equation and do the arithmetic.

  1/R = 1/(3 1/2) +1/(5 1/4)

  1/R = 1/(7/2) +1/(21/4) = 2/7 +4/21 = (6 +4)/21

  R = 1/(10/21) = 21/10

  R = 2.1

This graph represents a quadratic function. What is the function's equation written in factored form and in vertex form?
(graph in picture)

Answers

Step-by-step explanation:

f(x) = a(x-x1) (x-x2)

from the vertex, we get a:

0 = a(4-2)²- 8

4a = 8

a = 2

so, the equation:

f(x) = 2(x-0) (x-4)

f(x) = 2x(x-4)

f(x) = 2x² -8x

Arrange the steps to solve this system of linear equations in the correct sequence x+y=-2 2x-3y=-9

Answers

there you go the correct ans

Which equation is a linear function?
y=-5
y= 22 +7
y=22 - 1
y= ? +3

Answers

Answer:

let ? be x

every linear equation is y=mx+c

so the answer would be y=?+3

For the following right triangle, find the side length x . Round your answer to the nearest hundredth.

Answers

[tex]\huge\bold{Given:}[/tex]

Length of the base = 9

Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]

The length of the perpendicular ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢  L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

A book that is 13 inches tall is leaning against the edge of a wall. If the bottom of the book is 5 inches from the wall, how far up the wall is the top of the book?

Answers

[tex]\huge\bold{Given:}[/tex]

Length of the book (hypotenuse) = 13 inches

Distance of the book from the foot of the wall (base) = 5 inches

[tex]\huge\bold{To\:find:}[/tex]

Length of the book on the wall (perpendicular ''[tex]x[/tex]").

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\purple{x\:=\:12\:inches}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

By Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] + (5 in) ² = (13 in)²

[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + 25 in² = 169 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 169 in² - 25 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 144 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{144 \: {in}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{12 \times 12 \: {in}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{ ({12 \: in})^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = 12 in

Therefore, the height of the book on the wall [tex]x[/tex] is 12 inches.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

PLEASE HELP ME!! Kevin earns a base salary of $350.00 every week with an additional 12%
commission on everything he sells. If Kevin sold $4950.00 worth of items
last week, what was his total pay?

Answers

Answer:  944 dollars for the week

============================================================

Explanation:

He sold $4950 worth of items. Take 12% of this amount to get

12% of 4950 = 0.12*4950 = 594

So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week

This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.

The monthly family income of a family is $15,000. They spend 28% of their monthly income on food. How much do they spend on food each month?
Answer - $
(fill in the value)

Answers

Answer:

$1000 each month.

Step-by-step explanation:

$1000 because 12 month and 1 month=$1000 the  family have $3000.

What is photosynthesis?​

Answers

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]

Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.

Chemical Reaction for PHOTOSYNTHESIS:

[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Triangle ABC is a right triangle.

The lengths of one leg is 60 feet, and the hypotenuse is 61 feet.

What is the length, in feet, of the other leg?

Answers

Answer:

Hello! answer: 11

Step-by-step explanation:

60 × 60 = 3600

11 × 11 = 121

3600 + 121 = 3721

√3721 = 61

therefore 11 is the missing leg Hope that helps!

answer: the length of the other leg is 11 ft.

explanation: i used the equation 60^2+b^2=61^2 bc the pythagorean theorem (the expression used to solve a missing side of right triangles ONLY) is a^2+b^2=c^2.

Can y’all help me solve this question it’s due by the end of the day and I’m failing math?explain it plz

Answers

Answer : X= 4, y = -4


(4,-4)

Answer:

x=4 and y=−4

Step-by-step explanation:

Let's solve your system by elimination.

−x−2y=4;3x+2y=4

−x−2y=4

3x+2y=4

Add these equations to eliminate y:

2x=8

Then solve 2x=8 for x:

2x=8

2x

2

=

8

2

(Divide both sides by 2)

x=4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−x−2y=4

Substitute 4 for x in−x−2y=4:

−4−2y=4

−2y−4=4(Simplify both sides of the equation)

−2y−4+4=4+4(Add 4 to both sides)

−2y=8

−2y

−2

=

8

−2

(Divide both sides by -2)

y=−4

I have a large money box, about 10 inches wide and 5 inches tall. Roughly, how many coins can I place in my empty money box?"

Answers

Answer:

Overall, it depends what type of coin you are using because each ones size is different. Or, if you are referring to the riddle it will be just one coin.

The correct answer is approximately 3,968 coins can be placed in the empty money box based on estimation. Based on these calculations, you can roughly estimate  a volume  calculation that  place around 7936 coins in your empty money box, assuming the coins are similar in size to a quarter.

To estimate the number of coins that can fit in your money box, we need to consider the volume of the box and the volume of a single coin.

Calculate the volume of the money box:

Volume = Length * Width * Height

Volume = 10 inches * 10 inches * 5 inches

Volume = 500 cubic inches

Estimate the volume of a single coin. Let's assume a common coin, such as a quarter:

Diameter of a quarter ≈ 0.96 inches

Thickness of a quarter ≈ 0.07 inches

Volume of a coin ≈ π * ([tex]radius^2[/tex]) * thickness

Volume of a quarter ≈[tex]3.14 * (0.48) ^2 * 0.07[/tex]inches

Volume of a quarter ≈ 0.063 cubic inches

Calculate the number of coins that can fit in the money box:

Number of coins ≈ Volume of the money box / Volume of a coin

Number of coins ≈ 500 cubic inches / 0.063 cubic inches

Number of coins ≈ 7936 coins (approximately)

Therefore, approximately 3,968 coins can be placed in the empty money box based on estimation. Based on these calculations, you can roughly estimate  a volume  calculation that  place around 7936 coins in your empty money box, assuming the coins are similar in size to a quarter.

Learn more about volume and estimations here:

https://brainly.com/question/20664459

#SPJ2


PLEASE HELP QUICK
Factor out the GCF of 14x4 + 21x2 + 28x

Answers

Answer:

14×4+21×2+28=126

Step-by-step explanation:

correct me if I'm wrong

What is the midpoint of the segment shown below?
(-2,4) (6,-4)

A. (3, 0)
B. (1, 0)
C. (4, 0)
D. (2, 0)

a p e x :(

Answers

Answer:

answer is option D

Step-by-step explanation:

(-2 , 4) = (x1 , y1)

(6 , -4) = (x2 , y2)

midpoint = (x1 + x2/2 , y1 + y2/2)

=(-2 +6/2 , 4+(-4)/2)

=(4/2 , 0/2)

=(2 , 0)

Look at the triangle below which of the following represents two of the angle measures of the triangle

Answers

Answer:

x = 7

two of the angles 60 and 80

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

8x + 4 + 6x - 2 + 10x + 10 = 180 add like terms

24x + 12 = 180 subtract 12 from both sides

24x = 168 divide both sides by 24

x = 7 replace x with 7 in the equation to find the angle measures

6x - 2 = 40

10x + 10 = 80

8x + 4 = 60

Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?

Answers

Answer:

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Step-by-step explanation:

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Please help and don’t give links

Answers

Answer:

B.d.c.b.a.c.b is. respectively answer

1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

Answers

2 bc the y values repeat


Faisal tries to solve
(x + 2)(x - 7) = 0
Here is his working.
(x + 2) = 0
or
(x - 7) = 0
Answer
x = 2
or
x=7
Give a reason why his answer is wrong.

Answers

Answer:

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

(x + 2)(x - 7) = 0

Using the zero product property

x+2 = 0   x-7=0

x+2-2=0-2    x-7+7=0+7

x = -2            x=7

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

the steps he took are correct but the answer of x is somehow wrong because

(x+2)=0

x = -2

and not x = 2

2/3 feet is how many inches

Answers

Answer:

(2/3) foot =  8 inches

Need these written in standard form!

Answers

The expressions themselves are in standard form but I’m gonna assume you meant in regular notation .

A) 4001
B) 0.0000006591
C) 380
D) 0.0079901

HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS

Answers

Answer:

A: 360

Step-by-step explanation:

Split the trapezoid into 2 shapes

Then find the area of the rectangle on the left:

18 × 15 = 270 square yards

Now for the triangle, first find the base by subtracting the 2 parallel lines:

25 - 15 = 10 yards

0.5(10 × 18) = 90 square yards

Add both areas to find total area:

270 + 90 = 360 square yards

All this can be seen in the figure below:

PLS PLS ANSWER SOMEONE​

Answers

Answer:

the answer i think it is 5

im not 100% sure on what the question is, but i hope this helps

Step-by-step explanation:

Solve the formula Ax + By = C for A.

Answers

Answer:

A=C/x-By/x

Step-by-step explanation:

Can anyone solve this?

Answers

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

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With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress? The data below shows the grams of fat for a variety of snacks. Morris wants to calculate the standard error of the sample mean for this set of data. Snack Grams of Fat Snack 1 9 Snack 2 13 Snack 3 21 Snack 4 30 Snack 5 31 Snack 6 31 Snack 7 34 Snack 8 25 Snack 9 28 Snack 10 20 What is the standard error for this set of data The idea of rational expectations suggests that :_________a) It is unrealistic for Congress to balance the federal budget during a recession. b) Discretionary policies and fine-tuning can move the economy to full employment. c) Economic policies are ineffective if the policies are anticipated. 8. Which of the following is not a true statement?A) 33.326 > 33.316B) 24.10009 < 24.11C) 34.32 = 34.3200000D) 27.4200 > 27.42 find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2 Here are incomplete financial statements for Cullumber Company. Calculate the missing amounts. CULLUMBER COMPANY Balance Sheet AssetsCash $ 14,000 Inventory 17,000 Buildings 38,000 Total assets $69,000 Liabilities and Stockholders' Equity Liabilities Accounts payable $ 5,600 Stockholders' Equity Common stock enter a dollar amount (a) Retained earnings enter a dollar amount (b) Total liabilities and stockholders' equity $69,000 CULLUMBER COMPANY Income Statement Revenues $85,400 Cost of goods sold enter a dollar amount (c) Salaries and wages expense 10,270 Net income $enter a dollar amount (d) CULLUMBER COMPANY Retained Earnings Statement Beginning retained earnings $19,000 Add: Net income enter a dollar amount (e) Less: Dividends 4,770 Ending retained earnings $34,000 A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R T to find the total distance the train traveled (in miles). Do not include the units in your answer. 52.1 mL of aqueous 0.255 M Pb(NO3)2 is mixed with 38.5 mL of 0.415 M NaCl. The equation for the precipitate reaction is: Pb(NO3)2 (aq) 2 NaCl (aq) --> PbCl2 (s) 2 NaNO3 (aq) The concentration of Pb2 ion in the solution is _____ M after the reaction is complete. Which of the following describes one of the main purposes of the Department of Homeland Security? A. Preparing the country's emergency response to a terrorist attack O B. Protecting consumers from unethical business practices like redlining O C. Encouraging the adoption of international free trade agreements D. Promoting economic development through federal spending programs How the media reacted to HIV and AIDS in the 80s and 90s to how the media is reacting to C0VID 19 today. You buy halibut at 28 per pound. One portion of seared halibut requires 6 ounces of halibut. How much dose the halibut for one portion cost? Estimate 16.26+4.169 by first rounding each number to the nearest tenth. What is the sum of the pink and green area? Read the following passage from the Code of Hammurabi. Which of thefollowing conclusions about criminal law in Babylon is most supported bythis passage?5. If a judge try a case, reach a decision, and present hisjudgment in writing; if later error shall appear in hisdecision, and it be through his own fault, then he shall paytwelve times the fine set by him in the case, and he shall bepublicly removed from the judge's bench, and never againshall he sit there to render judgment,1. The Code of Hammurabi, translated by L.W.King, 1915. vble University: The AvalonProject, last modified 2008, http://avalon law.yale.edu/ancient/hamframe.asp. Courtesyof Yale Law School's Lillian Goldman Law LibraryA. Babylonian judges were punished for incorrect rulings.B. Judges in Babylon were given lifetime appointments.C. Babylonian judges only punished criminals through violent means.D. Judges in Babylon did not need to follow the law. A liquid waste product eliminated from the blood PLEASE HELP ME I DOnT KNOW THIS Ribosomes are only found in prokaryotes.TrueFalse Is lettuce a leaf plant? The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 13-inch pizzas. She takes a random sample of 37 pizzas and records their mean and standard deviation as 13.50 inches and 1.90 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [12.89, 14.11]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.90 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch 2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it