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

What is the unit rate depicted in the graph?

On a coordinate plane, a graph titled Lap Times has minutes on the x-axis and Laps on the y-axis. A line goes through points (4, 3) and (8, 6).
0.75 laps in one minute
1.25 laps in one minute
3 laps in 4 minutes
4 laps in 3 minutes

Answers

Answer:might be wrong but the answer is C

Step-by-step explanation:

The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

What is Unit Rate?

The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.

We have,

Minutes on the x-axis,

And,

Laps on the y-axis.

And,

A line goes through points (4, 3) and (8, 6),

x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6

Now,

So,

Unit rate for x₁ and  y₁,

i.e.

[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]

Now,

Unit rate for x₂ and  y₂,

i.e.

[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]

So,

The unit rate is 0.75 laps in one minute.

Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

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HELP ME PLEASE!!Dominic invested $19,000 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

The money to the nearest dollar would be in the account after 16 years is to be considered as the $50,298.

Calculation of the future amount:

Since

The interest rate be like = 6.1% = 6.1% / 12 = 0.51%

The time period = 16 * 12 = 192

The present value = $1,9000

The PMT is = $0

Now the following formula is used;

So,

= -FV(RATE,NPER,PMT,PV,TYPE)

After applying it, the future value should be $50,298.

Learn more about rate here: brainly.com/question/24546293

$1,250 at 5% simple interst for 2 years

Answers

Answer:

2625

Step-by-step explanation:

Simple Interest Formula

P*R*T

1250*1.05*2=2625

Answer:

After two years, there will be a total of $1,375 paid and $125 paid in interest.

Step-by-step explanation:

Since, 5 x 2 = 10, first we should find 10% of $1,250.

1,250 x 0.10 = 125

$1,250 + $125 = $1375

Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.

Hope this helps! :D

What is the domain of the square root function graphed below?
x=-1 x>/=-1

Answers

Answer:

im guessing -1

Step-by-step explain

well it would be greater than -1x-1

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32 ​

Answers

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


72 is what percent of 480? Write and solve an equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

480 = 100%

72  =   ?       you can find it doing  (72(100))/480

72(100)= 7200      

7200/480= 15    

the answer is 15%

have a nice day :)

matching math game help!​

Answers

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile

Answers

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

To learn more about unitary method click here ;

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Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).​

Answers

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

the radius of a circle is 4.53 inches what is the length of the circumference of the circle ?

Answers

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

the perimeter of a rectangle is 8x+10. if the length is 2x+8 what is the width?

Answers

Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

if you fill them all in corectly you should get not A

Not C NOR D THE ANSWER IS B 10 plus 14 equals 24 and 3 times 10 equals 30 and plus 5 times 14 equals 70 so the answer is B

tep-by-step explanation:

Please help its timed​

Answers

Answer:

give us the equation u donut

Answer:

c

Step-by-step explanation:

the conclusion ccxtryufrhhicycddtriv

Max's desk is 34 inches tall. There are approximately 2.54 centimeters in 1 inch.
Which of the following best represents the height of Max's desk in centimeters?

Answers

86.36cm(centimeters) in height, hope this helps :)

alice has 5 quarters and 2 nickels. how many cents does alice have?

Answers

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:

Answers

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

^^^ this one alsoooooo

Answers

Answer:

the first option

Step-by-step explanation:

BED = 180°-65°

= 115°

Answer:

115°

Step-by-step explanation:

Since CE is perpendicular to AD , then ∠ AEC = 90° and

∠ BEC = 90° - 65° = 25° , then

∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

answer this please !!!!!

Answers

The second one is correct!! Answer number b
The correct answer is b

A common factor for two numbers is one that is a divisor of each of
the two numbers. What is the greatest common factor of 24 and 36?

Answers

Answer:

The answer is 12.

Step-by-step explanation:

Please mark as Brainliest, this is the right answer

Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?

Answers

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16

What is the following quotient?

StartFraction StartRoot 96 EndRoot Over StartRoot 8 EndRoot
2 StartRoot 3 EndRoot
4
2 StartRoot 22 EndRoot
12

Answers

9514 1404 393

Answer:

  2√3

Step-by-step explanation:

Maybe you want the quotient ...

  [tex]\dfrac{\sqrt{96}}{\sqrt{8}}=\sqrt{\dfrac{96}{8}}=\sqrt{12}=\sqrt{4\cdot3}=\boxed{2\sqrt{3}}[/tex]

Answer:

the anwser is 2suareroot3 aka A

Step-by-step explanation:

i just got it right on edge! :)

Find the values of a and b​
please I will mark brainliest.
(make sure to show your work)

Answers

Answer:

The required values are a = 29°, b = 20°

Step-by-step explanation:

Angles and Lines

The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.

It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:

57° + 7b - 17° = 180°

Solving for b:

7b = 180° + 17° - 57°

7b = 140°

b = 140°/7 = 20°

b = 20°

It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:

57° = 2a - 1°

Adding 1:

2a = 58°

a = 29°

The required values are a = 29°, b = 20°

CLASS TIME: You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes. (Section 3.4)​

Answers

Answer:

250

Step-by-step explanation:

150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The value of x of the solution to the system of equations

x = -8

Hence, option (C) is true.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}x=2y-4\\ 7x+5y=-66\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}x-2y=-4\\ 7x+5y=-66\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-2y=-4\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x-14y=-28[/tex]

[tex]\begin{bmatrix}7x-14y=-28\\ 7x+5y=-66\end{bmatrix}[/tex]

subtracting  7x-14y=-28 from 7x+5y=-66

[tex]7x+5y=-66[/tex]

[tex]-[/tex]

[tex]\underline{7x-14y=-28}[/tex]

[tex]19y=-38[/tex]

so the equations become

[tex]\begin{bmatrix}7x-14y=-28\\ 19y=-38\end{bmatrix}[/tex]

solve 19y = -38

[tex]19y=-38[/tex]

Divide both sides by 19

[tex]\frac{19y}{19}=\frac{-38}{19}[/tex]

[tex]y=-2[/tex]

[tex]\mathrm{For\:}7x-14y=-28\mathrm{\:plug\:in\:}y=-2[/tex]

[tex]7x-14\left(-2\right)=-28[/tex]

[tex]7x+28=-28[/tex]

[tex]7x=-56[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-56}{7}[/tex]

[tex]x=-8[/tex]

Therefore, the value of x of the solution to the system of equations

x = -8

Hence, option (C) is true.

What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?
Question 8 options:

A)

(–4, 4)

B)

(9, 4)

C)

(–4, 8)

D)

(4, 4)

Answers

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

(5, -4)

x₁ = 5y₁ = -4

(-13, 12)

x₂ = -13y₂ = 12

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Therefore, let's substitute these values.

[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

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

(5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

So the answer would be A)

(-4, 4)

Explanation:

let ( x,y) be the midpoint of the line segment, then x =  5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)

HELP CORRECT AWNSER GET BRAINLIEST

Answers

Answer:

A 33 degrees

Step-by-step explanation:

[tex]x \degree = 180 \degree - (23 \degree + 124 \degree) \\ \\ x \degree = 180 \degree - 147 \degree\\ \\ x \degree = 33 \degree \\ \\ x = 33[/tex]

Answer:

A) 33

Step-by-step explanation:

the angles of a triangle always add up to 180.

124 + 23 + x = 180

combine like terms

147 + x = 180

147 + x - 147 = 180 - 147

x = 180 - 147

x = 33

i think this is last one

Answers

Step-by-step explanation:

Distance between park and movie theater

= 9 - (-15)

= 24 blocks.

Answer:

24 blocks

Step-by-step explanation:

Expression: |-15 + 9|Simplify: 15 + 915 + 9 = 24 blocks

I hope this helps!

will mark brainliest

Answers

Answer:

1.

31, 37, 43, 49, 55

2.

for nth number the value is 31+6(n-1)

3.

24th number, 169-31=138 and 138/6=23

1. 31, 37, 43, 49, 55
2. The value of the nth number 31 + 6(n - 1)
3. The 24th row, 169 - 31 = 138 and 138 / 6 = 23 and 31 + 6(24 - 1) = 169

find x it is multiple choice.​

Answers

Answer:

25

Step-by-step explanation:

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