8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components are inspected in one day. (10 points) b.What is the variance of the number that pass inspection in one day

Answers

Answer 1

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

[tex]V(X) = np(1 - p)[/tex]

In this problem:

95% pass final inspection, hence [tex]p = 0.95[/tex]120 components are inspected in one day, hence [tex]n = 120[/tex].

The variance is given by:

[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377


Related Questions

Please look for the question in the picture.

Answers

Answer:

-12.5

Step-by-step explanation:

-7x+8+11x=-42

-7x+11x=-42-8

4x=-50

x=-12.5

Hope this helped! :)

Hey There!

Question:-

[tex] \sf \: - 7x+8+11x= - 42[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]

Combine Like terms:-

[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]

On Simplification :-

[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]

Subtract 8 from both sides:-

[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]

On Simplification:-

[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]

Note that (-) and (-) equals to (+).

[tex]\sf \longmapsto \: 4x = - 50[/tex]

Divide both sides by 4:-

[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]

Or in Decimal :-

[tex]\sf \longmapsto \: x = -12.5[/tex]

______________________________________

Henceforth, the value of x is :-

[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]

In Decimal:-

[tex] \boxed{\huge\red{ x = -12.5}}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

3. Use proportional reasoning to answer the following question.
When buying an item, discount is always taken off
before applying tax. How much does a $1200
phone cost with a 35% discount and 10% tax?

Answers

Answer:

5000

Step-by-step explanation:

I took the test so that's how I know

A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high. What is the volume of the room?

Answers

Answer:

720 ft^3

Step-by-step explanation:

6 * 10 *12

v = l * w * h

6 * 10 * 12 =  720

Volume is a three-dimensional scalar quantity. The volume of the self-storage centre room is 720 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.

Volume = Length × Width × Height

Given that the self-storage centre room's are 6 feet wide, 10 feet deep, and 12 feet high. Therefore, the dimension of the room can be written as,

Length = 10 ft

Width = 6 ft

Height = 12 ft

Now, the volume of the room can be written as,

Volume of the room = 10ft × 6ft × 12ft

                                  = 720 ft³

Hence, the volume of the self-storage centre room is 720 ft³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ5

write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5​

Answers

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

the a,b, and c have the same formula

Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.

Answers

Answer:

2

Step-by-step explanation:

Because if you add 1  to 8 you get 9 then subtract 9 by 7 then and your answer is

Which function is shown in the graph?

Answers

Answer:

k(x)=-3/4x+5

Step-by-step explanation:

May has 10 sticker sheets with 8 stickers each and 15 pages with y stickers each. How many stickers does she have total.

A. (10 x 8) + (15y)

B 10 x ( 9 + 15 + y)

C. 10 + 8 + 15 + y

D, (10 x 15) + (8y)

Answers

Answer:

A

Step-by-step explanation:

Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.

Answers

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.

How to find the derivative???

Answers

[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]

GIVING BRAINLEST!



What is the location of this point?
y-axis
x-axis
5

Answers

Answer:

0,0

Step-by-step explanation:

because it is in the centre of the graph

Which is an advantage of using a credit card?

A. You can make purchases when you don’t have cash

B. You don’t indulge in impulse buying

C. You don’t have to pay interest

Answers

Your answer would be A.
Not B. because it may increase impulse buying.
And not C. because credit cards are built on money you don’t have currently.

Which theme is found in this story The Lucky Ticket

Answers

Answer:

In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.

I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.

Answers

Answer:

[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]

Step-by-step explanation:

You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.

You gotta swag it aht twin

Which of the following statements correctly uses the distributive property?

-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)

Answers

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !


What is the value of x in the equation 4
.
+
2

Answers

Answer:

x=-3

Step-by-step explanation:

Simplify the ratio:

42 : 28 : 21

Please explain step by step to get marked as brainliest!

Answers

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify

How do I subtract fractions? Please explain step by step to get marked!

Answers

Answer:

Explained below :)

(I tried my best, sorry if it doesn't make sense.)

Step-by-step explanation:

Example: 1/4 - 1/8= ?

1: Find the common denominator (bottom number)

2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.

3: Once you get multiply that then you get 2/8 -1/8.

4: Subtract the numerator (top number) 1

5: Keep the numerator (8)

6: Your answer would be 1/8

Help help bell help be math ASAP

Answers

Answer:

2x + 2 = 28

2x = 26

x = 13

Step-by-step explanation:

Match each shape with its area formula. ​

Answers

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

Simplify the expression

-4 + 3 + 5 =

Answers

Answer:

4

Step-by-step explanation:

-4+3=-1

-1+5=4

Simplify 1.25 (-x -4)

Answers

Answer:

1.25(-xsquare - 8x + 16)

Step-by-step explanation:

pls give me brainliest

I'm not sure but I think so

Surface area of cone 5ft by 21ft

Answers

if the radius is 5 then the answer is 417.63

if the radius is 21 then the answer is 2809.61

Answer:

417.63

Step-by-step explanation:

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

2. What conclusion can you make from each pair of true statements? State which law
logic you used.
a. If an animal is an omnivore, then it eats both plants and animals. Orangutans are omnivo
b. If an animal is a female mammal, then it produces milk. If an animal produces milk, it
nurse its young.
mammary gland
c. If a species is endangered, then it is likely to become extinct. Giant panda bears are
endangered

Answers

Answer:

tried my best!!!!!

Step-by-step explanation:

a) they eat both meat and palnts

b) it nurses its young,and feeds us beings

c) yes it is

Which graph could potentially have a correlation coeffiecient (r value) of 0.95?

Answers

Answer:

C,

Step-by-step explanation:

A and D is incorrect because they are negative correlation

and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values

so answer C

a is true but f(x) is wrong need help

Answers

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)

id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there ​

Answers

Answer:

3 vanilla

Step-by-step explanation:

If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.

Unless there is more than 12 in the order. The question is vague

Q.


A circle has a radius of 21 cm. Then determine the area!


EASY​

Answers

Hello there! :-)

The formula for finding the area of a circle is

[tex]A=\pi r^{2}[/tex]

Notice that only the radius is squared.

We are given the radius of the circle: 21 cm.

We plug the value of r into the formula:

A=π(21)²A=π(441)A=1,385 cm

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping people with their homework

#LetItSnow

Good luck.

Answer:

A=1.386 cm²

Step-by-step explanation:

[tex]\sf\bf A = \pi \times r \times r[/tex]

[tex]\sf\bf = \frac{22}{7} \times 21 \times 21[/tex]

[tex]\sf\bf = \frac{22}{\cancel{7}} \times \cancel{21} \times 21[/tex]

[tex]\sf\bf = 22 \times 3 \times 21[/tex]

[tex]\sf\bf = 66 \times 21[/tex]

[tex]\sf\bf = 1.386 \: {cm}^{2}[/tex]

Determine if the two triangle are congruent. If they are state how you know

Answers

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side

An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?

Answers

Answer:

12.1

Step-by-step explanation:

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1

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