A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historically, the failure rate for LED light bulbs that the company
manufactures is 14%. Suppose a random sample of 10 LED light bulbs is selected. Complete parts (a) through (d) below.
a. What is the probability that none of the LED light bulbs are defective?
The probability that none of the LED light bulbs are defective is
(Type an integer or a decint. Round to four decimal places as needed.)

Answers

Answer 1

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that none of the LED light bulbs are defective is 0.2213.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given the probability of a bulb being a failure is 14%, therefore, the probability of bulb passing the quality check is 86%.

Let the probability of success be defined as 0.14 for binomial distribution, and the probability for failure be 0.86. Therefore, The probability that none of the LED light bulbs are defective is

P(x=0) = ¹⁰C₀ (0.14)⁰ (0.86)¹⁰ = 0.2213

Hence, The probability that none of the LED light bulbs are defective is 0.2213.

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Related Questions

This is the full question

Answers

Answer:

< $0 --------------$35------ $50>

Step-by-step explanation:

I see it's still the same, the maximum discount can be put off is still $50

and you can find that out by discount 30% off 50 to get $35 :)

< $0 --------------$35------ $50>

This is a lengthy math problem. Help please! Thank you

Answers

Step-by-step explanation:

look at the attached and just plot the data. S on the x-axis and s(x) on the y-axis.

Put the equation y+x^2-10+16 in the form y=(x-h)^2+k

Answers

Answer:

Step-by-step explanation:

hello :

y=x²-10x+16  in the form y=(x-h)²+k

y= x²-2(5)(x)+16  

y = x²-2(5)(x)+5²-9

y= (x-5)²-9    when h=5 and k = -9

if the figure forms the base of a right solid 110 centimeters high, find the surphase area.​

Answers

the answer should be 5 inches I guess

Algebra 2 help please

Answers

Blank 1: 3

Blank 2: 27

Blank 3: 21

you have to distribute the three to everything inside the parenthesis, and because it's directly in front of the parenthesis it's being multiplied.

3(x - 9) = 3x - 27

Now you need to isolate the y, in this e ample you need to add 6 to both sides

the final equation should be:

y = 3x - 21

Determine the Theorem or Postulate that proves triangle
congruence. If the triangles cannot be proven congruent,
choose "not congruent."

Answers

Answer:

SSS theorem

Step-by-step explanation:

It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.

what is the probability that a family with three children will have all girls?
A) 1/2
B) 1/8
C) 25%
D) .10​

Answers

Answer:

B) 1/8

Step-by-step explanation:

each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.

the probability will then be:

(0.5)³=0.125=1/8

B) 1/8 . i believe so

A radioactive substance decays from 90 mg to 12.6 mg in 29 years according to the exponential decay model y=ae−bx , where a is the initial amount and y is the amount remaining after x years.



Find the b -value.

Use the EXACT b -value to write the exponential decay model for this substance with initial amount 90 mg, then use that model to find the half-life.



Find the half-life.

Answers

The half life of the radioactive substance is 10.22 years.

What is Half Life ?

Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).

It is given that

y = ae⁻ᵇˣ

here a is the initial amount , y is the amount remaining after x years

a = 90mg at x =0

Value of y = 12.6 mg at x = 29 years

On substitution of value

12.6 = 90 e⁻²⁹ᵇ

0.14 = e⁻²⁹ᵇ

b = 0.0678

The equation is

[tex]\rm y = 90 e^{-0.0678 * x}\\[/tex]

Half life is when the concentration is reduced to half

On 1st half life , the concentration = 90/2 = 45 mg

[tex]\rm 45 = 90 e^{-0.0678 * x}\\[/tex]

x = 10.22 years

Therefore the half life of the radioactive substance is 10.22 years.

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The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minutes). The remaining credit after 22 minutes is $36.70, and the remaining credit after 52 mintues is $32.20. What is the remaining credit after 85 mintues of calls?

Answers

After 85 minutes of calls, there are $27.25 left on the card.

What is the remaining credit after 85 minutes of calls?

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

[tex]a = \frac{32.2 - 36.7}{52 -22} = -0.15[/tex]

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

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Covert 3/7into a percent

Answers

Answer:

42.86%

Step-by-step explanation:

Our percent fraction is 42.857142857143/100, which means that 37 as a percentage is 42.86%

Here we are going to show you step by step how to convert the fraction 3/7 to a percentage.

In the fraction 3/7, 3 is the numerator and 7 is the denominator.

First, we are going to divide the numerator by the denominator. Therefore, we are going to divide 3 by 7.

3 ÷ 7 = 0.428571

A percentage shows a number as a proportion of one hundred.

Now we are going to multiply 0.72 by 100 to get the percentage.

0.428571 x 100 = 42.86

Therefore, the answer to 3/7 percent is

42.86%

Note: If necessary, we round to the nearest hundred.

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

In the diagram below, all the measurements are given correct to the nearest cm.
Not drawn
to scale
28 cm
15 cm
21 cm
42 cm
Calculate the greatest possible area of the shaded region.
+
P

Answers

Answer: 462 square cm

Step-by-step explanation:

The area of the shaded region is the difference between the areas of the two rectangles.

Larger Rectangle: (42)(21)

Smaller Rectangle: (28)(15)

Area of shaded: (42)(21)-(28)(15)=462 square cm

Given the first degree function f(x) = 2x +3, what is the value of f(10)?
a) 23
b) 25
c) 30
d) 50​

Answers

Answer:

a

Step-by-step explanation:

substitute x = 10 into f(x) , that is

f(10) = 2(10) + 3 = 20 + 3 = 23

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\boxed{\underline{\huge{\tt{\orange{\: \: a)23 \: \: }}}}}[/tex]

[tex]\large \bold {SOLUTION}[/tex]

Given the first-degree function:

[tex]\Large\begin{array}{c}\rm f(x)=2x+3\end{array}[/tex]

We were asked to determine the value of f(10), so, to find its value, just replace the 10 where there is x in the function, see:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(x)=2x+3\\\\ \rm f(10)=2\cdot 10+3\end{array}\end{gathered}[/tex]

You see, we put that dot there, which indicates multiplication, because when a number is next to a letter it indicates that it is multiplying, thus:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(10)=2\cdot 10+3\\\\ \rm f(10)=20+3\\\\ \red{\boxed{\rm f(10)=23}}\checkmark\end{array}\end{gathered}[/tex]

Hence, the value of f(10) in this function is equal to 23.

An elephant went 119 km moving 42 km/h how many hours did the journey take?
2 1/6
2 1/2
2 5/6

Answers

Answer:

1 HR ---> 42 km

? .----> 119 km

119 * 1/42

2.833

Answer:

[tex]\boxed {2 \frac{5}{6}}[/tex]

Step-by-step explanation:

Formula used :

[tex]\boxed {Time = \frac{Distance}{Speed}}[/tex]

Solving :

Time = 119/42

Time = 17/6

Time = 2 5/6 hours

The polynomial f(x) has degree 3. Choose each statement that could describe all zeros of f.

Answers

The true statements are

(a) -one zero with multiplicity 3(d) -one zero with multiplicity 1 and one zero with multiplicity 2(l) -Three zeros with multiplicity 1

Missing information in the question

-one zero with multiplicity 3

-one zero with multiplicity 4

-one zero with multiplicity 5

-one zero with multiplicity 1 and one zero with multiplicity 2

-one zero with multiplicity 1 and one zero with multiplicity 3

-one zero with multiplicity 2 and two zeros with multiplicity 1

-one zero with multiplicity 2 and three zeros with multiplicity 1

-Two zeros with multiplicity 2

-Two zero with multiplicity 2 and two zeros with multiplicity 1

-Two zero with multiplicity 2 and three zeros with multiplicity 1

-Two zero with multiplicity 1

-Three zeros with multiplicity 1

-Four zeros with multiplicity 1

-Five zeros with multiplicity 1

How to determine the true statements?

The function is given as:

f(x)

And it has a degree of 3

This means that

The total multiplicity of the zeros of the function is 3 It cannot have more than three zeros i.e. it can have 1, 2 or 3 zeros

Using the above highlight as a guide, the true statements are (a), (d),and (l)

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As part of a weight loss plan, Levi’s average Calories consumed per day, denoted by c, subject to a maximum of 15 calories, is measured to calculate the amount of weight he will lose. If he is losing weight consistently, what is the domain of the function?

a. c < 0
b. c > 0
c. 0 ≤ c ≤ 15
d. 0 < c ≤ 15

Answers

Using it's concept, it is found that the domain of the function is given as follows:

d. 0 < c ≤ 15

What is the domain of a function?

The domain is the set that contains all possible input values for the function.

He is losing weight consistently, hence c > 0, and the maximum amount is of 15 calories, hence c ≤ 15 and the domain is given by:

d. 0 < c ≤ 15

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Calculate this logarithmic expression

Answers

The solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]

How to solve the logarithmic expression?

The expression is given as:

[tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex]

Apply the product law of logarithm

[tex]\log_2[(17 -\sqrt{19}) *(17 +\sqrt{19})]\\[/tex]

Apply the difference of two squares

[tex]\log_2[(17^2 -(\sqrt{19})^2][/tex]

Evaluate the squares

[tex]\log_2[(289 -19][/tex]

Evaluate the difference

[tex]\log_2[270][/tex]

Hence, the solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]

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what is the answer to the question?

Answers

Using logic concepts, the correct statement is given by:

[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.

What are the events in this problem?

The events are:

Event P: Henry is wearing a red shirt.Event Q: Henry is wearing khaki shirts.

The statement is:

Henri is wearing a red or blue shirt today with jeans.

A red or blue shirt can be represent by p or not p, that is:

[tex](p \vee \neg p)[/tex]

Jeans is not khaki, hence the second part is:

[tex]\neg q[/tex]

Combining the statements, we have that the expression is:

[tex](p \vee \neg p) \wedge \neg q[/tex]

Since p and q are true, [tex]\neg q[/tex] is false, and the entire statement is false. Hence the correct option is:

[tex](p \vee \neg p) \wedge \neg q[/tex]. FALSE.

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Help me with this piecewise function!

Answers

Answer:

According to the given function, the value of h(-1) is -1, h(-0.5) is 0 and h(1) is 1.

Step-by-step explanation:

The given function says that:

If the range of the values of x is x∈(-2,-1], then the value of the function is -1.

If the range of the values of x is x∈(-1,0], then the value of the function is 0.

If the range of the values of x is x∈(0,1], then the value of the function is 1.

If the range of the values of x is x∈(1,2], then the value of the function is 2.

In the first case, we have x = -1. This satisfies the first condition. So accordingly, the value that the function will give is -1.

In the second case, we have x = -0.5. This satisfies the second condition. So accordingly, the value that the function will give is 0.

In the third case, we have x = 1. This satisfies the third condition. So accordingly, the value that the function will give is 1.

So, h(-1) = -1, h(-0.5) = 0 and h(1) = 1.

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Complete the following table using the equation: Y = negative 2 x Squared x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (0, 0), and goes through (1, 2). Graph B On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 1), has a vertex at (0, 0), and goes through (1, negative 1). a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B Please select the best answer from the choices provided A B C D

Answers

The Graph B  best represents a parabola , Option D has the correct data points and so is the right answer.

What is a function ?

A function is a mathematical way of representing relation between two variables.

The function given is

y = 2x²

For x = - 2, y = -2(- 2)² = -8

For x = - 1, y = -2(- 1)² = -2

For x = 0, y = -2(0)² = 0

For x = 1, y = -2(1)² = -2

For x = 2, y = -2(2)² = -8

the  table of x-y will be:

x  - 2    - 1    0    1    2

y    -8     -2   0  -2   -8

The graph is attached with the answer.

The parabola opens downward and has the data points as mentioned above .

Therefore Option D is the correct answer.

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Answer:

Step-by-step explanation:

Complete the following table using the equation: y = 2 x squared

x

-2

-1

0

1

2

y

       

         

Plot the points on a graph and determine which graph best represents the equation.

Graph A

On a coordinate plane, a parabola opens up and goes through (1, 3), has a vertex at (0, 0), and goes through (1, 3).

Graph B

On a coordinate plane, a parabola opens down and goes through (negative 1, negative 2), has a vertex at (0, 0), and goes through (1, negative 2).

a.

8, 2, 0, 2, 8; Graph A

b.

-8, -2, 0, -2, -8; Graph A

c.

8, 2, 0, 2, 8; Graph B

d.

-8, -2, 0, -2, -8; Graph B

 

Please select the best answer from the choices provided

A

B

C

D

   answer is '' a '  got it right

What is the domain of the radical function shown on the graph y = -√x-2-4

Answers

Answer:

all real numbers

Step-by-step explanation:

the answer is all real numbers.

we know this since if you plug in any value for x we will get a real number.

hope this helps

The image of a point K(1,2) after translation is K¹ (-1,2). what is the coordinate of the point R whose image is R¹ (-3,3) after undergoing the same translation. ​

Answers

Sorry big bro people do this a lot 24

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?

It increases the mean value of the prizes.
It decreases the mean value of the prizes.
It increases the median value of the prizes.
It decreases the median value of the prizes.

Answers

A mean is an arithmetic average of a set of observations. The correct option is A.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Since the median is the middle value of the given data set, therefore, the median will not be changed for the given data set. But since the mean is the arithmetic average, therefore, the $100 gift will increase the mean value of the prizes.

Hence, the correct option is A.

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Answer:

this is the anwser

this

54-90.27-90.22-90.87-90

Answers

Answer: -307.36 I think

Step-by-step explanation:

A vehicle purchased for $20,700 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase.

Answers

The approximate value of the vehicle 15 years after purchase is $11,221.19.

What is the approximate value of the vehicle 15 years after purchase?

Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.

Value of the car = purchase price x (1 - rate of decline)^number of years

20,700 x (1 - 0.04)^15 = $11,221.19

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find arc length
x=t^(3)-2t
y=t^(2)-3
-2>t<2

Answers

Answer:

72

Step-by-step explanation:

I got it right .......

Choose the correct graph of the following condition. {(x, y) : x - y6}

Answers

The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

What is a graph?

A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.

In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

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Please answer the question down below!

Answers

Answer:

144°

Step-by-step explanation:

regular decagon = all side equal and all angles congruent, so your answer is 144°

which expression is equivalent to...​

Answers

Answer:

[tex]\frac{y^{12} }{5}[/tex]

Step-by-step explanation:

1) Cancel [tex]x^5[/tex].

[tex]\frac{9y^{16} }{45y^4}[/tex]

2) Take out the constants.

[tex]\frac{9}{45} \times\frac{y^{16} }{y^4}[/tex]

3) Simplify [tex]\frac{9}{45}[/tex] to [tex]\frac{1}{5}[/tex].

[tex]\frac{1}{5} \times\frac{y^{16} }{y^4}[/tex]

4) Simplify.

[tex]\frac{y^{16} }{5y^4}[/tex]

5) Use Quotient Rule: Use Quotient Rule: [tex]\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}[/tex].

[tex]\frac{{y}^{16-4}}{5}[/tex]

6)  Simplify [tex]16-4[/tex] to [tex]12[/tex].

[tex]\frac{y^{12} }{5}[/tex]

simplify: (-291) × 134​

Answers

Answer:

-38,994

Step-by-step explanation:

-291*134

=-38,994

Answer:

-38,994

Step-by-step explanation:

(-291) × 134

Apply PEMDAS.

Remember,

- × - = +- × 1 = -

Solution:

Evaluating,we obtain

(-291) × 134-38,994

Sarah and her friends split a bag of candy evenly. They each ate 13 pieces of candy and there are 2 pieces leftover. How many pieces of candy were originally in the bag?

Answers

Answer:

54

Step-by-step explanation:

⇒ 1 + 3 = 4

⇒ 4 * 13 = 52

⇒ 52 + 2 = 54 (Basic Operation)

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