A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.

Answers

Answer 1

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419


Related Questions

A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?

Answers

Answer:

haaaahhhhhhhhhaaaaaa

Step-by-step explanation:

What is the value of n that would make the following radical expression true?

[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]

n=?

Answers

Answer: 3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

dont remember exactly how we did it in class but went through this question

The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number​

Answers

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

I WILL GIVE BRAINLY

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSSSS SHOW YOUR WORK PLSSS

Answers

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6​

Answers

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.

Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)


Interpreting Velocity vs Time Graphs

A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.


Use the graph to determine acceleration and velocity.


Which segments show acceleration?




What is the velocity of segment B?



Choices for the first question:


A. A and B


B. A and C


C. B and C


Choices for the second question:


A. 8 m/s


B. 10 m/s


C. 40 m/s


D. - 40 m/s

Answers

Answer:

The velocity is being plotted. The velocity value indicates how fast the object is moving.

Step-by-step

C on the first one and C on the second one lol

Give brainlest PLZZZ

Answer:

its b to 9 seconds 40 meters per second

Step-by-step explanation:

the test was right

z = -400i - 44.5
What is the imaginary part of z?

Answers

Answer:

-400i

General Formulas and Concepts:

Algebra II

Complex Form: a + bi

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Which of the following quadrilaterals are similar?

Answers

Answer:

I believe its the last one

Answer:

the last one.

Step-by-step explanation:

i need help with this practice problem

Answers

Answer:

Step-by-step explanation:

V of a sphere is (4/3)*pi*r³, and because we have 3 scoops

V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³

Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator

Answers

Answer:

9/21 & 7/21

Step-by-step explanation:

Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

What are equivalent fraction?

"Equivalent fraction is fraction with different numerator or denominator

that represents the same value or proportion of the whole."

What is common denominator?

"Common denominator is the same denominator of all the fraction"

We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex]  using 21 as common denominator.

As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]

and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]

⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]

⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]

Hence, Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

Learn more about Equivalent fraction and common denominator here

https://brainly.com/question/26277885

#SPJ2

A person paid 56.50 rupees as zakaat in a year find his saving for the Year​

Answers

paste the full question man

Yeah he’s from the future to carry the world.

Please help me with this question! Will mark brainliest :)

Answers

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)

Select one
2.
a
5
5
2
с
2.
5
d. 5

Answers

Answer:

x=-2/5

Step-by-step explanation:

What is the domain of the function represented by the graph?

Answers

Your answer will be B
I’m positive the answer is B!

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 witha
center of dilation at the origin?
(-9. ,9
(9, -9)

Answers

Answer: -9, 9

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

y = 3x-5

Step-by-step explanation:

The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.

Q1. The speed limit on a road is 40km/h. A scooter drives 9

kilometers in 15 minutes. Is the scooter breaking the speed limit?
step by step explanation plz​

Answers

no because if you multiply 15 by 4, that is equal to 60 min= an hour. so you have to multiply the 9 so you’re in terms of hours. so he is going 36

What are the factors of 10x^3+24x^2+14x

Answers

Answer:

2x(x+1)(5x+7)

Step-by-step explanation:

10x^3+24^2+14

2(5x^3+12x+7)

2x(5x^2+12x+7)

2x(x+1)(5x+7)

2x(2x+1)(5x+7)

why functions are multiplied,

Answers

Answer:

Dividing two functions works in a similar way.

Step-by-step explanation:

PLEASE HELLPPPPP

A population, P, of birds is doubling in size every year, according to the model P=100(2^t), where T represents years. What was the initial population size? Show work.

Answers

Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.

Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.

See Straight Pin & Sewing Needle Used In Wayne's Word Articles

There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).

See Photo Of Massive Giant Sequoia Tree

See Photo Of The Australian Wolffia angusta

See Photo Of The Indian Wolffia microscopica

See Additional Color Images Of Wolffia Species

The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.

Sixteen days of exponential growth in Wolffia microscopica.

Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!

Step-by-step explanation:

If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please

Answers

The value of x is 37

Here 13 & 15 are corresponding angles , so they are equal [ 13 = 15 ]

As per the question ,

⇒ 2x - 3 = 71°

⇒ 2x = 71 + 3

⇒ 2x = 74

⇒ x = 74 ÷ 2

x = 37

Hence , x = 37

one of u guys helped me but they keep returning it saying show your work>:(​

Answers

Answer:

36

Step-by-step explanation:

16*2 = 32

16*1/4 = 4

32+4 = 36

Answer:  She will need 36 yards of material.

Step-by-step explanation:

16 × 2¹/₄ can be done different ways,

First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4

Then multiply 2 times 16  2×16 = 32

Add 32 + 4 = 36

Another way is to change 2¹/₄ to an improper fraction and multiply

⁹/₄ × 16

   16

  ×9

   54  

+9  

 144

 

144/4 = 36

Write 41/10 as a fraction

Answers

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

NEED HELP!!! ASAP last minute homework

Answers

The error is the sign of Inequality.

For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.

Therefore, from x>=-3 as it should be x<=-3

A store pays $70 for a kitchen table. The store marks up the price by 45% so they can make a profit.
What is the amount of the mark-up?
$

Answers

Answer:

$108.75

Step-by-step explanation:

math and stuff

Solve for s.



12s=72




s = 17

s = 27

s = 3

s = 7

Answers

Answer: s = 6

Step-by-step explanation:

just simply divide both sides.

12s / 12 = 72 / 12

s = 6

S=6 because 6 x 12 = 72
6 x 10 = 60
6 x 2 = 12
60 + 12 = 72

I need help with both 17 and 18! WILL MARK AS BRANLIEST, PLEASE HELP ASAP!!

Answers

Answer:

17. $2194.80; 18. $1147.20

Step-by-step explanation:

I=prt; I = interest, p = principle, r = rate, t = time

plug in and go

17.

I = 1860(.06)3

I = 1860(.18)

I = 334.8

334.8 + 1860 + $2194.80

18.

I = 960(.065)3

I = 960(.195)

I = 187.2

187.2 + 960 = $1147.20

IS THIS A FUNCTION AND WHICH ONE?! VEIW PICTURE

Answers

Answer:

A and B are functions but C is not

Step-by-step explanation:

a  function has one y value to every x value.

What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6

O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)

Answers

Answer:

O (8, -6)

Step-by-step explanation:

brainiest plz

Answer:

(-6,8)

Step-by-step explanation:

Have a good day

Write 45 as a product of primes. Use index notation when giving your answer.

Answers

Answer:

9*5=45

3*3*5=45

Therefore:

3^2 *5 = 45

i hope this helps :)

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