A light bulb manufacturing process results in 6% of the light
bulbs being defective. If 5 light bulbs are randomly
selected, find the probability that all of the light bulbs are
fully functioning.

Answers

Answer 1

Answer:

[tex]Probability = 0.734[/tex]

Step-by-step explanation:

Given

Represent the event that a bulb is defective with p.

So:

[tex]p =6\%[/tex]

Required

Determine the probability that all 5 are fully functioning

Represent the event that a bulb is defective with q.

So:

[tex]p + q = 1[/tex]

Make q the subject

[tex]q = 1 - p[/tex]

Substitute 6% for p

[tex]q = 1 - 6\%[/tex]

Convert % to decimal

[tex]q = 1 - 0.06[/tex]

[tex]q = 0.94[/tex]

If 5 were selected and all are functioning, the event is represented as: q q q q q

And the probability is:

[tex]Probability = q * q * q * q *q[/tex]

[tex]Probability = q^5[/tex]

Substitute 0.94 for q

[tex]Probability = 0.94^5[/tex]

[tex]Probability = 0.7339040224[/tex]

[tex]Probability = 0.734[/tex] --- approximated


Related Questions

What are the dimensions of a 2x4x8

Answers

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

help!! i added the attachment

Answers

P= 1
You do 15p+58=9p+64

need help someone !!!!!!!!

Answers

it contains from 2 pieces:
1) y=x+1, -2=
2) y=2, 1<=x<=4

What is ?l4 as a mixed number?

Answers

Answer:

It's a whole number. It cannot be a mixed number. Anyways I would have to know the denominator.

Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Martha have in her account before the deposit?

Answers

Answer:

447.23

Step-by-step explanation:

832.48 - 385.25

Caan someone help me answer this!!!

Answers

Answer:

it took 4 minutes for the tub to drain,

the max amount of water in the tub was 35 gallons

at 10:06 the tub was nither filling nor draining

Step-by-step explanation:

hope this helped! be sure to pay attention to the X and Y lables, this is just reading a graph! :)

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

Answers

Answer:

The answers you guys are looking for are C, D, and E

Step-by-step explanation:

I dont have one. :)

The true statements include

(c) The value of w cannot be a negative number.(d) Substitution is used to replace the variable l with a value of 20.(e) The subtraction property of equality is used to isolate the term with the variable w.

How to determine the true statements?

The equation is given as:

2l + 2w = 62

Where:

l = 20

Substitute l = 20

2 * 20 + 2w = 62

Evaluate

40 + 2w = 62

Subtract 40 from both sides

2w = 22

Divide both sides by 2

w = 11

The above computation means that the true statements include (c), (d) and (e)

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ2

The Technology Club is trying to raise $1000 raffling cornhole boards. They have already made $100. If they sell raffle tickets for $5 each, how many more must they sell to make at least $1000?

Answers

Answer:

180

Step-by-step explanation:

$1000-$100=$900

$900/$5=180

Please do both questions and explain
I'll give brainliest

Answers

9514 1404 393

Answer:

  12√2

  24√2

Step-by-step explanation:

The Pythagorean theorem tells you the square of the slant length is the sum of the squares of x and the height:

  (6√11)^2 = x^2 + (6√3)^2

  x^2 = 36·11 -36·3 = 36·8 = 144·2

  x = 12√2 . . . . length of 1/2 the house

The full length of the house is double this value:

  2x = 24√2 . . . . full length of the house

-90 = -100 + x help need answer

Answers

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answers

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

WRITE THE FIRST 4 TERMS OF THE SEQUENCE DEFINED BY THE GIVEN RULE ( PLEASE ANSWER FAST PLEASE QUICKLY WILL GIVE BRAINLIEST AND THANKS!!!! PLEASE HURRY!!!!)

Answers

Step-by-step explanation:

5.) f(1) = 7, f(n) = -4※f(n-1) + 15

[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]

The first four terms are 7, -13, 67, -253.

7.) f(1) = 3, f(n) = [f(n-1)]²

[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]

The first four terms are 3, 9, 81, 6561.

Write the equation of a line that passes through the point (4, -2) and is perpendicular to y = 3.

Answers

Answer:

x = 4

Step-by-step explanation:

When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]

If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.

inverse equation x-19 = -23

Answers

Answer:

Isolate the X by adding 19 on both sides sicne the invers of -19 is 19

-23+19= -4

now you’d get

x= -4 since its a one step equation and X is isolated

8. You have 51 coins made up of dimes
and nickels. The coins total $4.55.
How many coins are dimes? How
many are nickels?

Answers

Answer:

Solve value problems by setting up a system of equations. ... Once the table is filled in we can easily make equations by adding each column, setting it ... Dime d. 10. 10d. Total. 11. 185. We have 11 coins total.This is the number total. ... twice as many dimes, than we multiply the other variable (nickels) by two.

Step-by-step explanation:

which of the following can be a Pythagorean triplets?:

a) 2cm 2cm ,4cm b) 5cm, 12cm ,13cm c) 3cm ,5cm ,6cm d) 7cm, 4cm 5 cm.


need full solution
or I'll report ​

Answers

Answer :-

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

8 ≠ 16Hence, A can't be Pythagoras triplet

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

169 = 169Therefore, B can be Pythagoras triplet

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

34 ≠ 36Hence, C can't be Pythagoras triplet

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

41 ≠ 49Hence, D can't be Pythagoras triplet

Therefore :-

Only B can be Pythagoras triplet.

A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel chains. There were 114 responses. The average time these 114 general managers had spent with their current company was 11.78 years. Give a 99%; confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company. (Take it as known that the standard deviation of time with the company for all general managers is 3.2 years.)

Answers

Answer:

The 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company is between 11.01 years and 12.55 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575*\frac{3.2}{\sqrt{114}} = 0.77[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 11.78 - 0.77 = 11.01 years

The upper end of the interval is the sample mean added to M. So it is 11.78 + 0.77 = 12.55 years

The 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company is between 11.01 years and 12.55 years.

Can a parallelogram also be a rectangle

Answers

Answer:

yes

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

Find the perimeter of the figure to the nearest tenth of a centimeter.

2 points

Answers

90918 is the answer

Need help don’t know what to do I’m confused

Answers

Im pretty sure it’s D. Y= 0.5x + 3 :)

Can someone please explain this!
(-5x^2+3)-(-x^3+9x^2+9)

Answers

9514 1404 393

Answer:

  x^3 -14x^2 -6

Step-by-step explanation:

Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.

  -5x^2 +3 +x^3 -9x^2 -9

Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.

  x^3 +(-5x^2 -9x^2) +(3 -9)

And combine like terms.

  x^3 -14x^2 -6 . . . . . simplified form of the given expression

A rectangular window has a width of 3.5 yards and a length of 4.5 yards what is the perimeter of the window in yards

Answers

Answer:

16 yards

Step-by-step explanation:

Perimeter = 3.5 + 3.5 + 4.5 + 4.5

Perimeter = 16 yards

Congruent and similar figures need help I’ll cash app anyone who does my math work $10 for 2 assignments

Answers

First part:
Angle A ≅ Angle T
Angle C ≅ Angle R
Angle D ≅ Angle U
AB ≅ TS
DA ≅ TU
ST ≅ BA

What is the better buy? 2 for $3.00 (Or) 8 For $12.40

Answers

Answer:I say 8 for $12.40

Step-by-step explanation:

Answer:

8 for 12.50

Step-by-step explanation:

12.50/8 = 1.55

3.00/2= 1.50

youre getting 6 more pens for only 5 cents more

What is the right answer for the ordered pairs?

Answers

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

I need help on this please

Answers

Answer:

x = 60°

y = 60°

Step-by-step explanation:

It's an equilateral triangle, all angles are congruent.

Which expression is equivalent to -2v​+(​-4)+8​+(-​3v)?

Answers

Answer:

5v+4

Step-by-step explanation:

Compute 292,000 divide 100

Answers

Answer:

Step-by-step explanation:

is pretty simple

292,000/100=2,920

BONJOUR asker

Answer:

2920

Step-by-step explanation:

292000 divided by 100 is 2920

#CarryOnLearning

heyoitzmeh from Philippines

you can foIlow me in my brainly in Philippines

simplify the fraction completly
75/100

Answers

The simplest form for 75/100 is 3/4
It’s 3/4. Mark me brainiest if I’m right plz

What is the quotient?

-4/5➗2

Answers

The answer is -0.4 because I just did it in a calculator.
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