A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 530 college students showed that ​21% of them​ had, or intended​ to, cheat on examinations. Find the​ 95% confidence interval for the population proportion. Round to four decimal places.

Answers

Answer 1

Answer:

(0.1753 ; 0.2447)

Step-by-step explanation:

Using the relation :

Confidence interval :

p ± margin of error

p = 0.21

1 - p = 0.79

n = 530

Zcritical at 95% confidence level = 1.96

Margin of Error : Zcritical * sqrt[(p(1-p))/n]

1.96 * sqrt[(0.21(0.79))/530]

1.96 * 0.0176923 = 0.0346769

Margin of Error = 0.0346769

Lower boundary = 0.21 - 0.0347 = 0.1753

Upper boundary = 0.21 + 0.0347 = 0.2447

Confidence interval :

(0.1753 ; 0.2447)


Related Questions

plsssss help links will be reported!

Answers

Answer:

airplane A

Step-by-step explanation:

please helpppppp i will mark you braliest

Answers

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

Answer is 0.3

have a great day!

Helpp plzz with the one on the top I will mark brainliest

Answers

Answer:Its D i hope

Step-by-step explanation:

B
6x+7
3x+c
2x-1

What is the value of c in degrees

Answers

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

  <A=2*15-1

  <A=30-1

  <A=29

   

PLEASE HELP!! DUE SOON!!!
Find the surface area of the sphere (I can't upload the pic but I'll give the radius).
Radius 7 m
A. 56π m²
B. 784π m²
C. 392π m²
D. 196π m²

Answers

Answer:

D

Step-by-step explanation:

This is because the formula is 4×pi×r^2

So 4×pi×7^2

(7^2=49) now plug that in: 4×pi×49

Combine like terms: 4×49=196

Plug that into the equation: 196pi

Suppose that a certain movie earns $3,000,000 in ticket sales. If 60% goes to the movie studio and 40% goes to theatres: Movie studios will get $ of the total revenue Theatres will get $ of the total revenue.

Answers

Movie studios will get $1,800,000
$3,000,000 x 60%= $1,800,000

Theaters will get $1,200,000
$3,000,000 x 40%= $1,200,000

Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost per item of making x items.

Answers

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

The production level that will minimize the average cost per item of making x items is  x = 12

How to obtain the minimum value of a function?

To find the minimum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, the function in consideration is: [tex]c(x) = x^3 - 24x^2 + 30000x[/tex]

This is cost function for x items' manufacturing.

The average cost per item would be c(x) / x

This gives us a function a(x) as:

[tex]a(x) = c(x)/x = x^2 -24x + 30000[/tex]

For finding  the minimum of a(x), getting its first two derivatives as:

[tex]a'(x) = 2x - 24\\a''(x) = 2 > 0[/tex]

Equating first rate to 0,

[tex]a'(x) = 2x - 24 = 0[/tex] critical point.

Since second rate is positive, the point x = 12 is point of minima, and since only one critical point is there, it is the point on which a(x) is minimum.

Thus, the production level that will minimize the average cost per item of making x items is  x = 12

Learn more about minima and maxima of a function here:

https://brainly.com/question/13333267

In a first aid kit, the ratio of large bandages to small bandages is 1 to 6. Based on this ratio, how many small bandages are in a kit of 140 bandages?

Answers

-1113638484 slamszkkdnend

At a birthday party, the ratio of pizza slices to kids is 3:2. At a larger party there are 30 kids. If the ratio of pizza slices to kids stays the same, how many pizza slices will be needed?

Answers

Answer:

90:60

Step-by-step explanation:

3x30= 90

2x30= 60

A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?

Answers

Answer:

1.6% of customers

Step-by-step explanation:

On a snow day, Owen created two snowmen in his backyard. Snowman A was built to
a height of 60 inches and Snowman B was built to a height of 42 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by 6 inches per hour and Snowman B's height decreased by 3
inches per hour. Let A represent the height of Snowman At hours after sunrise and
let B represent the height of Snowman Bt hours after sunrise. Graph each function
and determine the interval of time, t, when Snowman A is taller than Snowman B

Answers

Answer:

The equations for each function:

A(t) = 60 - 6tB(t) = 42 - 3t

The lines plotted, see attached

The point at which both the snowmen have same height:

60 - 6t = 42 - 3t6t - 3t = 60 - 423t = 18t = 6

The required interval is

t = [0, 6)

You started hiking at 31.3 feet below sea level. At the end of your hike, you were at 56.2 feet above sea level. How many feet did you climb?

Answers

Answer:

24.9

Step-by-step explanation:

56.2-31.3=24.9

For anybody who has had this question
0 and 5 :(

Answers

Answer:

Yes, the answer is (0,5) because that is where the lines intercect on the graph.

A ball is thrown into the air with an upward velocity of 28ft/s. Its height h in feet after t seconds is given by the function h = -16t^2 + 28t + 8

Answers

Answer:

In bold below.

Step-by-step explanation:

Find derivative which gives the velocity:

V = h' = -32t + 28

At maxm height V = 0 so

-32t + 28 = 0

Time to reach maxm height t = -28/-32 = 0.875 seconds.

So maxm height

= -16(0.875)^2 + 28*0.875 + 8

= 20.25 ft.

Given the function y = -5x + 4, what is the range of the function if the domain is {-2, 0, 5}?

Answers

Answer:

90 hours

Step-by-step explanation:

{14, 4, -21}  is the range of the function if the domain is {-2, 0, 5}

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the range of the function, we need to plug each value in the domain into the given function and see what output (y-value) we get.

When x = -2:

y = -5(-2) + 4 = 14

When x = 0:

y = -5(0) + 4 = 4

When x = 5:

y = -5(5) + 4 = -21

So the range of the function is {14, 4, -21}.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ3

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

The answer is B, 25%.

There are 16 students total, and 4 scored above a 90 so you divide 4 by 16 which gives you 0.25, which is 25%

Answer:

B. 25%

Step-by-step explanation:

Total 16 students

4 scored above 90

so 4/16= 0.25

Answer: 25%

plz mark me as brainliest.

HELP PLEASE 15 POINTS

Answers

Answer:

b

Step-by-step explanation:

Given that Δ DEF and Δ ACB are congruent then corresponding angles are congruent.

ACB and DEF , that is ∠ B and ∠ F are corresponding

Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?

Answers

Answer:

The percentage represented is 37.5%

An expression is shown. 2(3/5x+3) - (2/3x-1) create an equivalent expression without parenthesis

Answers

Answer:

6/5x -2/3x + 4

Step-by-step explanation:

Simplify the equation

6/5x + 3 -2/3x + 1

6/5x -2/3x + 4

not simplified all the way, but is just exquivalent

Answer 1 13/15x + 5 if simplified or 28/15x + 5 non-simplified

Step-by-step explanation:

2(3/5x+3) = 6/5x + 6 (also can simplfy to 1 1/5x +6)

6/5x + 2/3 = 18/15 + 10/15 = 28/15x ( also can to 1 13/15x)

6-1=5

Zapisz w postaci jednej potęgi (zapisz obliczenia):

32 * 83 : 42 =

0,0014 *0,012 : 0,13 =

(53 * 252)4 =

27 * 253 *83 * 510 =

211 * 67 : 37 =



Zapisz w postaci notacji wykładniczej i odwrotnie:

403000000 =

2,4 * 109 =

0,00000509 =

5,015 * 10-5 =

Answers

Answer:

1. 62,3

2. 0,000129230769

3. 53424

4. 257027760

5. 382,081081

6. ?

7. 261,6

8. ?

9. 45,15

Identify the figure. Then state how many bases, faces, edges, and vertices there are.
Name:
Bases:
Faces:
Edges:
Vertices:

Answers

Answer:

name: pentagonal pyramid

bases: one

faces: 5

edges: 10

vertices: 6

Step-by-step explanation:


Roll a standard number cube. Then pick a marble out of a bag.
A Dependent, the roll will not affect the marble selection.
B. Dependent, the roll will affect the marble selection.
C. Independent; the roll will not affect the marble selection.
D. Independent; the roll will affect the marble selection.

Answers

Answer:

C

Step-by-step explanation:

Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a1 and d. If a sequence is geometric, find a1 and r. 1/6,1/12,1/24

Answers

Answer:

a1 = 1/6

r = 1/2

Step-by-step explanation:

Given the sequence

1/6,1/12,1/24

The sequence is a geometric sequence since they have a common ratio

r = 1/12÷1/6 = 1/24 ÷ 1/12

r = 1/12 * 6/1 = 1/24 * 12/1

r = 1/2

Since a1 is the first term, hence a1 is 1/6 and common ratio r is 1/2

6(x+4)+1= What is the answer to this great math problem

Answers

6x + 24 + 1 = 6x + 25

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

(d) Time T, in minutes, for a train journey of
a hours b minutes​

Answers

Answer:

you didnt give a clear question

Step-by-step explanation:

wth

What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work

Answers

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

A cylindrical cookie jar has a volume of 904.23 cubic inches. It is 8 inches tall. What is the radius of the cookie jar? Round your answer to the nearest inch.​

Answers

Answer:

Answer:

r = 6 in

Step-by-step explanation:

The volume of a cylinder of radius r and height or length h is

V = πr²h.

Here, we need to solve for the radius; we get:

     V

------------- = r²

     πh

                                       904.23 in³

This works out to    r² = ----------------- = 35.97 in²

                                            π(8 in)

Finally, take the square root of this result to find the radius, r:

r = √35.97 in² = 6 inches

Evan took 3 hours to bicycle to his
grandmother's house, a total of 24
kilometers. What was his speed in km/hr?

Answers

Answer:

8km/h

Step-by-step explanation:

24/3

8

Hope it helps!

Answer:

To convert 24 km/s to km/h use direct conversion formula below.

24 km/s = 86393.088552916 km/h.

You also can convert 24 Kilometers/Second to other Speed (popular) units.

Step-by-step explanation:

goo gle

Pov your just scrolling and seeing all these hard problems that your brain cant do.

Answers

Answer:

LOL this is just facts

Answer:

lol so true

Step-by-step explanation:

In a 30% off sale, the price of an item is reduced by £27.

What is the original cost of the item?

Answers

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

Other Questions
Why do parents have to take away stuff, cus its annoying, and I almost got my taken away from me forever, and they did that for no reason. Work out the value of xThe diagram is not drawn to scale. What is the solution to this system of equations?x + y = 6{ x = y +20 (3, 3)o (4, 2)O (2, 4)O (6, 4 Was new technology necessary for theIndustrial Revolution? Explain. How was the Bill of Rights added to the Constitution? A sign on a barrel of nuts in a supermarket says that it contains 30% cashews, 30% hazelnuts, and 40% peanuts by weight. You mix up the nuts and scoop out 18 pounds. When you weigh the nuts, you find that you have 5 pounds of cashews, 4 pounds of hazelnuts, and 9 pounds of peanuts. Is there evidence to doubt the supermarket's claim NO LINKS, OR ILL REPORT Max loves fishing. He and his family chartered a fishing boat that left Florida and travel towards the Bahama Islands at an average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but an average speed of 14 km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before the cruise ship caught up? What is the precise term that denotes both this particular form of artwork and technique used to create it If the variable overhead efficiency variance is $500 unfavorable and the variable overhead spending variance is $100 favorable, the journal entry will include a: _________a. Debit to variable overhead efficiency varianceb. Credit to variable overhead efficiency variancec. Debit to variable overhead spending varianced. Credit to variable overhead spending variance testWhat types of networks allowed for the exchange of goods and ideas between our early foragingancestors?Choose 1 answer:Village networksMetropolitan networksLanguage networksCultural networks What prevented the US government from enforcing the law under the Articles of Confederation? could use some help you know lads? Which of the following is a true statement about the magnetic field between two magnets?A. The south pole of one magnet is attracted to both poles of the other magnet.B. The north pole of one magnet is attracted to the north pole of the other magnet.C. The south pole of one magnet is attracted to the south pole of the other magnet.D. The south pole of one magnet is attracted to the north pole of the other magnet. A water pipe takes 45 minutes to fill atank. How many water tanks it would fill in6 hours.Math what was the important outcome of the US Supreme Court's decision in Miranda vs Arizona Which of the following contributed to the development of South Korea, Taiwan, and Singapore?arable landexport economymild climates Fill in the blanks please help! Pure substances areA. alloys and can be represented by one chemical symbol.B. elements and can be represented by one chemical symbol.C. mixtures and can be represented by two or more chemical symbols.D. solutions and can be represented by two or more chemical symbols. The median income for a sample of people from Chicago is about $60,000 and themedian income for a sample of people from Kansas City is about $46,000, butresearchers have determined there is not a meaningful difference in the medians.Explain why the researchers might be correct. What happens to the molecules within a gas when the gas condenses?A. They gain energy.B. They lose energy.C. They drift apart.D. They move faster.