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

please answer my question

Answers

Answer:

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

what is 2%= in simplest form

Answers

Answer:

.50

Step-by-step explanation:

that's it in a decimal form

Answer:

0.02

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

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pluse taxt =3.00

52.50.50

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82 . 50

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

Help help help help !

Answers

Answer:Its D

Step-by-step explanation:

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:

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

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.

Answers

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

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?​

Answers

What is the question?

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).  

Find h. (system of equations)

Answers

Step-by-step explanation:

xtan45° = (x+600)tan30°

x(tan45°-tan30°) = 600tan30°

x = 819.62m.

Therefore h = xtan45° = x = 819.62m.

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:

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.

6
Express in exponential form.
I will mark you brainliest

Answers

10^3 = 5x is the answer.

Hope this helps!

-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

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

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

WILL MARK BRAINLIEST IF CORRECT! PLS HELP

Answers

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]

On a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance
from Setter Street to Spike Street is 75 kilometers, how far apart should the two streets be on the
map?

Answers

Answer:

1km

Step-by-step explanation:

because ur mom gay

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)

is 3399 a rational number

Answers

yes it is yes yes yes yes it is

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

Answers

Answer:

4.000

Step-by-step explanation:

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 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

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

Answers

It would probably be W<6

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°

✔️m<A = 180 - (100 + 35) (sum of triangle)

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

Can u help me with my math

Answers

Answer:

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

Step-by-step explanation:

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:

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

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