At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 101 keypads is analyzed. Find the probability that the proportion of the sample keypads that pass inspection is between 0.75 and 0.87.

Answers

Answer 1

The z-score for the 0.75 proportion is -1.95.

What is z-score?

The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.

The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

In a set with mean X and standard deviation μ, the z score of a measure X is given by:

Z=(X-μ)/σ

In this problem, we have that:

n=100,p=0.82

So,μ=E(X)=np=100×0.82=82

Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841

For Finding the probability that less than 75 in the sample keypads pass inspection.

Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.

=>z= (74.5-82)/3.841

=>z= - 7.5/3.841

=>z= - 1.95 has a p-value to 0.

Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95

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Related Questions

6) What is the value of digit 7 in 0.057 *.///what is the answer _____________________
7/10
0.07
7/1000

Answers

Answer:

7/1000 thousandths for place value

It costs $45 for 9 baseballs. How much would it cost to buy two baseballs?

Answers

Answer: It would cost $10 for 2 baseballs

Step-by-step explanation:

1.) You take 45 and divide it by 9 to find the cost of 1 baseball

2.) You then take the cost of a baseball and multiply it by 2

A picnic cooler contains 5 lemon-lime sodas, 8 colas, 2 diet colas, and 6 root beers. The likelihood of randomly selecting a diet cola instead of a root beer would be described as...



A certain

B impossible

C likely

D unlikely

Just tell me i dont want the link pls

Answers

C likely I think,,,,,,,

The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data?

Answers

Answer:

Step-by-step explanation:

data protection act

The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.

What are the different levels scales of measurement?

Nominal, Ordinal, Interval, and Ratio are defined as the four fundamental levels of measurement scales that are used to capture data in the form of surveys and questionnaires .

1. Nominal : Nominal scale is a naming scale, where variables are simply “named” or labeled, with no specific order.

2. Ordinal : Ordinal scale has all its variables in a specific order, beyond just naming them.

3. Interval : Interval scale offers labels, order, as well as, a specific interval between each of its variable options.

4. Ratio : Ratio scale bears all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.

According to the question

The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data :

As per different levels scales of measurement :

It will be measured by Ratio  

As ratio is only which will bear the scale all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.

Hence, the data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.

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A line passes through the origin (−1, 1) and (4, n). Find the value of n.

Answers

The line y = - x has a coordinate value of (4, - 4) passing through the origin.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the origin, (−1, 1) and (4, n).

So, The slope of the line is,

m = (1 - 0)/(- 1 - 0).

m = - 1.

Now,

1 = -1(-1) + b.

b = 0.

y = - x.

At x = 4,

y = - 4.

So, The point (4, n) is (4, - 4).

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What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi

Answers

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

If you need to measure the length of a run of pipe from a house to the water main on the street using metric system, which of the following units would you likely use? A. Centimeters, B. Kilometers, C. Metics D. Millimeters

Answers

Answer:

C.  meters

Step-by-step explanation:

Use the diagram to find the indicated angle measures. Please do 1, 2, and 3. Please need ASAP!!!!!!!!!!!!!!! 30 POINTS

Answers

The measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given m∠B= 57 degrees

m∠c= 51 degrees

segment AD bisects m∠BAC

then  m∠ADC we need to find.

As AD is perpendicular to BC, the angle of  m∠ADC is 90 degrees.

Given m∠B= 66 degrees

m∠BAD=34 degrees

Now we need to find m∠DAC

m∠DAC will be 34 degrees

Hence, the measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

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I need the answer for this please ASAP i give you 30 points after you answer it correctly

Answers

Answer:

Sum of all the interior angles = 900°

Each angle ≅  128.57° (rounded to the nearest hundredth)

Step-by-step explanation:

The sum of the interior angles of a polygon can easily be found by using the following formula...

Sum of all the interior angles = 180°(n - 2)  

In that formula "n" equals the number of sides a polygon has so in our case

n = 7

So now we know that the sum of all angels equals...

180°(n - 2) = 180° (7 - 2) = 180° (5) = 900°

From here we can easily find the measure of each angle since there is a rule that states that in a regular polygon all angles are equal to each other, so we just have to divide the sum of all interior angles by the number of interior angles, and so we get...

900° / 7 ≅ 128.57 (rounded to the nearest hundredth).

The perimieter of parallelogram ABCD is 86cm. AD is 4cm more than twice AB. Find the length of BC.

Answers

Answer: 30

Step-by-step explanation: i’m not sure but my hw says it’s right

PLEASE HELP

Consider the two circles shown


To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.


What are the values of t and s

Answers

Answer:

t is 13

scale factor is 7/4

¿????¿?????¿?????????????

1 2/8 - 4 3/6

Answers

Answer:

-3.25, or in fraction form, -3 1/4

Step-by-step explanation:

Hope this helps!

Answer:

-3.25

Step-by-step explanation:

20 points!!! What does the perimeter of this figure consist of?

Answers

C
The correct answer is c I am pretty sure

Can anyone pls help I need the answer quickly

Answers

Therefore , in response to the given problem of triangle, we can state that the triangles ECD and PQR

Describe the triangle.

A triangle is a polygon since it has four segments and three vertices. It is one of the basic geometric forms. The title given to that of a triangle with the vertex A, B, and C is Triangle ABC. A unique planes and trapezoid in Geometric forms are discovered once the three criteria are not collinear. Quadrilateral and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where its three sides converge. 180 degrees is the result of multiplying three triangle angles.

Here,

=> EC = PQ (equal side)

=> CD = PR  (equal side)

=> ED = QR (equal side)

as a result, the SSS property compares both triangles.

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PLS HELP ILL MARK BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

Help pleaseeee…
Referring to the figure, find the area of thetrapezoid shown.

Answers

Answer:

Hello! answer: 90

Step-by-step explanation:

I split the trapezoid into 2 then did base × height ÷ by 2 cause the way I split it it made 2 triangles

10 × 12 = 120 10 × 6 = 60 120 + 60 = 180 180 ÷ 2 = 90 therefore 90 is our area Hope that HELPS!

Find the vertex of the function given below.
y = x^2 - 4x + 1

A. (2,-3)
B. (-2, 13)
C. (4,1)
D. (1,5)

Answers

Answer:

Your answer is B (2,-3)

Solve each of the following equations. Show its solution set on a number line. Check your
answers.
5x =3

Answers

Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

(5*(3/5))=3

5*3 = 15

15/5=3

answer answer answer answer answer

The expression 2x – 3 represents

Answers

Answer:

two times some value subtracted by 3

Step-by-step explanation:

Simplify 32q^9r^4 / 4q^3r

Answers

Step-by-step explanation:

the answer is 8q^6r^3 and here are the steps in pic.

Answer:

8q^6r^3

Step-by-step explanation:

As powers in denominator are subtracted from powers of numerator.

8 q^9-3 r^4-1

8q^6r^3.

Exponential Functions

Which of the following points lies on the graph of the function y = 3x?

a. (1, 0) c. (3, 1)
b. (2, 9) d. (0,3)

Please select the best answer from choices provided

Answers

Answer:

B. (2, 9)

Step-by-step explanation:

I calculated it logically

Convert the angle to radians. Leave as a multiple of Pi. 810 degrees

Answers

Answer:

4.5π radians

Step-by-step explanation:

We know that:

1° = π/180 radians

Then

810° = 810*π/180 = 4.5π radians

Answer:

4.5π radians

Step-by-step explanation:

oh shoot its wrong guys srry

What is the equation of the line that passes through the point (-1,-5) and has a
slope of -3?

Answers

Answer:

y=-3x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-3(x-(-1))

y+5=-3(x+1)

y=-3x-3-5

y=-3x-8

Solve for x: 3x + 2 < 14 and 2 x-5> -11.

Answers

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

What is expressions or values?

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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Find the standard deviation of the following data. Round to the nearest hundredth 124, 89, 114, 89, 108, 62, 65

Free brainlist help plz

Answers

Answer:

62,65,89,114,124 im not really sure but examples may vaey depend to lessons and factors...

Step-by-step explanation:

Does this help?

Find a equivalent expression of 16a - 24 .

Answers

Answer: 8(2a - 3)

Step-by-step explanation:

Answer:

8(2a - 3)

Step-by-step explanation:

(16a - 24) / 8 =

8(2a - 3)

find the distance between the points (4,0) and (-3,4)

Answers

Answer:

8.0622

Step-by-step explanation:

For what value of x does 3^2x = 9^3x-4?
O 1
O 2
O 3
O 4

Answers

the answer x=2 hope it helps :D

The value of x is 2 so x=2

the lengh of a triangle is 16 meters and the width is 3 meters. find the area. give your answer without units

Answers

Answer:

24

Step-by-step explanation:

1/2 bh

16x3/2=24

Find the value of x that makes the quadrilateral a parallelogram?

Answers

Answer:

5

Step-by-step explanation:

since the sides of parallelogram are parallel

then 3X+3 = 4X-2 (they are equal because they are alternating angles )

3X+3 = 4X-2 subtract 3X from both sides

3 = X-2. add 2 to both sides

X= 5

Answer:

x = 5

Step-by-step explanation:

As the diagonals of a parallelogram bisect each other (divide into two equal parts):

[tex]\implies 2x+1=x+6[/tex]

[tex]\implies 4x-2=3x+3[/tex]

Solve the first equation for x:

[tex]\implies 2x+1-1=x+6-1[/tex]

[tex]\implies 2x=x+5[/tex]

[tex]\implies 2x-x=x+5-x[/tex]

[tex]\implies x=5[/tex]

Solve the second equation for x:

[tex]\implies 4x-2+2=3x+3+2[/tex]

[tex]\implies 4x=3x+5[/tex]

[tex]\implies 4x-3x=3x+5-3x[/tex]

[tex]\implies x=5[/tex]

Therefore, the value of x that makes the quadrilateral a parallelogram is:

x = 5
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