A manufacturer tests a certain number of the headsets that are produced each day, with approximately 3% of the headsets found defective.

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a % chance of finding a defective headset.

If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to .

Answers

Answer 1

Answer:

2.5% chance of finding a defective headset

970

Step-by-step explanation:

3% of the headsets found defective.

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,  

easy to find percent 273/280=0.975

multiply by 100

97.5 then get 100-97.5=2.5

2.5% chance of finding a defective headset

ok 1,000 units of empirical probability

so the good ones

1,000/100=1

10= 1 percent

10*97=970

970

Answer 2

Empirical probability is the probability based on past experience

Part A

The percentage chance of finding a defective headset is 2.5%

Part B

The expected empirical probability is approximately 0.03

The reason for arriving at the above values is as follows:

Part A

The known parameters are:

The percentage of the daily headset produced the manufacturer found defective = 3%

The number of headset tested by the manufacturer = 280 units

The number of headsets found without defect = 273 headsets

Method:

Using the formula for percentage, calculate the percentage defect

The percentage chance of finding a defect = [tex]\mathbf{\dfrac{Number \ of \ dfect }{Number \ of \ Headset} \times 100}[/tex]

Where;

dfect = defect

Solution:

The percentage chance of finding a defect = [tex]\dfrac{280 - 273}{280} \times 100 = \mathbf{2.5 \%}[/tex]

The percentage chance of finding a defect = 2.5%

Part B

The known parameters;

The theoretical model of the number of defective headset produced = The stated (description) percentage of defective headset produced = 3% defective

The given number of units tested, n(T) = 1,000 units

Method:

Calculate expected number of defects and empirical probability using formula

Solution:

The expected number of defects, n(D) ≈ 3% of 1,000 = (3/100) × 1,000 = 30

The expected number of defective headset found, n(D) ≈ 30

[tex]The \ 'expected' \ empirical \ probability = P(D) \approx \mathbf{\dfrac{n(D)}{n(T)}}[/tex]

Therefore;

[tex]\mathbf{'Expected' \ empirical \ probability} = P(D) \mathbf{\approx \dfrac{30}{1,000} }= 0.03[/tex]

The expected probability of finding a defect P(D) ≈ 0.03

Learn more about empirical probability here:

https://brainly.com/question/15412351


Related Questions

Find h. (system of equations)

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Step-by-step explanation:

xtan45° = (x+600)tan30°

x(tan45°-tan30°) = 600tan30°

x = 819.62m.

Therefore h = xtan45° = x = 819.62m.

[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]

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It would probably be W<6

Hayley is considering two gym membership plans. The plans are detailed here.

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

Plan 2: $10 for each gym visit

What is a system of equations that represents the costs of the plans?

Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.

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1: y = 3x + 50
2: y = 10x

please answer my question

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Answer:

dogs and birds..........

4÷5679 please paki answer​

Answers

Answer:

4÷5679= 0.000704349357

but i think u want

5679÷ 4 = 1,419.75

Answer:

0.0007(approximately)

Step-by-step explanation:

The lengths of 2 sides of a triangle are 26 and 48. What is the range of possible side lengths for the 3rd side of the triangle?

Answers

Answer:

16

Step-by-step explanation:

If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16

Find the slope of the line that passes through (5,2) and (9,6).

Answers

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

what is the slope for the graph y - 4x =-2 ?

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Answer:

4.000

Step-by-step explanation:

what is 2%= in simplest form

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Answer:

.50

Step-by-step explanation:

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Answer:

0.02

Step-by-step explanation:

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Answer:

B=310 because..well just do the math.

Step-by-step explanation:

Help please I will give Brainliest !!!!1

Answers

Answer:

exactly two factors

Step-by step Explanation:

A prime number is an integer, or whole number, that has only two factors: 1 and itself. Put another way, a prime number can be divided evenly only by 1 and by itself. Prime numbers also must be greater than 1. For example, 3 is a prime number, because 3 cannot be divided evenly by any number except for 1 and 3.

What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56

Answers

The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.

In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.

Representing the given equation is the slope-intercept form y = mx + b, we get:

6x + 4y = - 56,

or, 4y = - 6x - 56,

or, y = (-6/4)x + (-56/4),

or, y = (-3/2)x + (-14),

we get the slope, m is (-3/2), and the y-intercept, b is (-14).

Assuming the slope of the required line to be m₁, we know that m₁*m  = -1, as the two lines are perpendicular to each other.

Thus, m₁*(-3/2) = -1,

or, m₁ = 2/3.

Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

Learn more about perpendicular lines at

https://brainly.com/question/6710896

#SPJ1

Help please! Write the equation for the line.

Answers

Answer:

y=x-3

Step-by-step explanation:

The slope goes up by 1 and the y intercept is -3

8 4/5 ÷ 4 = ?
The principal is equally distributing 8 4/5 cakes on 4 tables for a school party. How many cakes are on each table?

Answers

Answer:

Step-by-step explanation:

8 4/5 divided by 4= 2.2

WILL MARK BRAINLIEST IF CORRECT! PLS HELP

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Answer:

[tex]y^{\frac{2}{5}}[/tex]

Step-by-step explanation:

[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]

[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]

Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.

Answers

Answer:

y= -3x-16

Step-by-step explanation:

slope intercept form is written as y=mx+b.  m is the slope, and b is the y-intercept.  -3=m

we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15.  subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).  

PLEASE HELP ASAP!!!!!!!!
Given the exponential function f(x) = 60(1.07)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.

Exponential growth, 60% increase
Exponential growth, 7% increase
Exponential decay, 7% decrease
Exponential decay, 60% decrease

Answers

Answer:

3rd

Step-by-step explanation:

Answer:

Exponential decay, 7% decrease

Step-by-step explanation:

-7x + 3 = x + 11

what is x

Answers

Answer: x=-1

Step-by-step explanation: hope this helps!

The answer is


X=-1
And hope this helps

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.

Answers

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

[tex]p(t) = -8t + 92[/tex]

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

[tex]0 = -8t + 92[/tex]

[tex]8t = 92[/tex]

Divide both sides by 8

[tex]\frac{8t}{8}=\frac{92}{8}[/tex]

[tex]t=\frac{23}{2}[/tex]

[tex]t = 11.5[/tex] minutes

Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paper

Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.​

Answers

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

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m<A = 180 - 135

m<A = 45°

help ! question 6 . I’ll give brain.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

put me as brainliest

6
Express in exponential form.
I will mark you brainliest

Answers

10^3 = 5x is the answer.

Hope this helps!

Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?

Answers

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

SOMEONE HELP ASAP PLS!!

Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?

Answers

the answer is B / the second option
K(x,y)>K’(-x,y-7)

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

Francis heard that a car radio was on sale for 30% off. If the sale price was $57.75, what was the original price of the raido?

A. $82.50
B. $75.30

Answers

Answer

b

step-by-step explanation:

Answer:

a 82.50

Step-by-step explana

82.50

30.00

pluse taxt =3.00

52.50.50

30.00

82 . 50

Help help help help !

Answers

Answer:Its D

Step-by-step explanation:

pleasee helppp!!!!!! I would be so happy
Abhasra and Perry each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Abhasra spent $152 on 13 daylilies and 10 bunches of ornamental grass. Perry spent $64 on 1 daylily and 6 bunches of omamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?​

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What is the question?

What is m=3 and the line goes through the point (2,4) in point - slope form

Answers

Answer:

y-4=3(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

On a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance
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Answer:

1km

Step-by-step explanation:

because ur mom gay

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