If numerous large random samples or repetitions of the same size are taken from a population, the frequency curve made from proportions from the various samples will have what approximate shape?.

Answers

Answer 1

Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Hence, the shape of the frequency curve will be approximately normal.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213


Related Questions

What is the solution to the system of equations?
y=2/3x+3
y = -2

Answers

Answer:

and

Step-by-step explanation:

we have

-----> equation A

------> equation B

we know that

The solution of the system of equations is equal to the intersection point of both graphs

Using a graphing tool  

see the attached figure

There are two intersection points

Therefore

The system of equations has two solutions

The solutions of the system of equations are the points  and

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?

Answers

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

Volume of a sphere

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

Volume of a cube

The box is a cube. Therefore,

volume = L³

where

L = length

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

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Starting at an initial height of 364 feet, an object is projected
upward at 60 feet per second. In how many seconds will it
reach the ground? I’m

Answers

Step-by-step explanation:

4.5 s, 324 ft

Explanation:

The object is projected upward with an initial velocity of

v_0 = 144 ft/sv

0

=144ft/s

The equation that describes its height at time t is

s(t) = -16t^2 + 144 ts(t)=−16t

2

+144t (1)

where t, the time, is measured in seconds.

In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):

v(t) = s'(t) = -32t +144v(t)=s

(t)=−32t+144 (2)

At the maximum heigth, the vertical velocity is zero:

v(t) = 0

Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:

\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}

0=−32t+144

t=

32

144

=4.5s

And by substituting this value into eq.(1), we also find the maximum height:

s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)

2

+144(4.5)=324ft

used this way i even don't know sorry:))

Which of the following lists 3/6, 112, 15/18 in order from least to greatest?

Answers

Answer:

3/6 ⇒ 9/12⇒ 15/18

Step-by-step explanation:

To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..

3/6 = 0.5

15/18 = 0.83333333333

9/12= 0.75

Hence from least to greatest:

0.5,0.75, 0.83333333333

Also know as:

3/6,9/12,15/18

~lenvy~

Answer:

Order 3/6, 9/12, and 15/18 from least to greatest.

Keep in mind, there are multiple ways into finding the answer to this question.

First, we must simplify these fractions as much as possible then find a possible common denominator.

3/6 simplifies to 1/2

9/12 simplifies to 3/4

15/18 simplifies to 5/6

Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).

If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;

1/2 x 6/6 = 6/12

3/4 x 3/3 = 9/12

5/6 x 2/2 = 10/12.

So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).

These are already ordered from least to greatest.

So therefore, this'll be ordered;

3/6, 9/12, and 15/18.

7. An arched window has dimensions as
shown at the right. Consider the top of the
window to be a semicircle. How much plastic
covering is needed to cover the window,
following the outline of the window?

Answers

The amount of plastic covering needed to cover the window is 25.71.

How much plastic covering is needed?

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

Please find attached an image of the window. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

how do I simplify this expression
3x+4+2x+7

Answers

Step-by-step explanation:

3x + 4 + 2x +7

= 3x + 2x + 4 + 7

= 5x + 11

What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim

Answers

Answer:

LOWER UPFRONT COSTS

Step-by-step explanation:

you're welcome ;)

Evaluate the following expression: (2,3)-3(1,1). Enter your answer as a vector

Answers

Answer:

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The given expression can be solved as shown below.

(2,3) - 3(1,1)

Multiply 3 in the second vector,

= (2,3) - (3,3)

Subtracting vectors

= (2-3, 3-3)

= (-1, 0)

Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ5

Find the 53rd multiple of 62, if the 54th multiple is 3348.

Answers

Answer:

[tex]\displaystyle 3286[/tex]

Explanation:

Just multiply 62 and 53 to get 3286.

I am joyous to assist you at any time.

What is the value of In e^4
a 0
b 1
c 2
d 4

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

b= c= Please help asap

Answers

b= 20°
and c = 160°

b is equal to the given angle, b = 20°

c is 180 - 20 = 160°

On average, Evie’s chicken lays 3 eggs every 15 days. At this rate, how many days will it take Evie’s chicken to lay 45 eggs?

Answers

Answer:

43 ffhfhfhfhfhfhchchchchchc

Answer:

It will take 225 days for Evie's chicken to lay 45 eggs

Step-by-step explanation:

Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31

Answers

The new account balance by deposit of $378.42 will be $3014.83.

What is addition?

When anything is increased in the already existing quantity then it is termed the addition.

Now it is given in the question that

Selma deposited an amount of = $378.42

Account balance =$2636.41

Now the new balance will be = New amount + Previous balance

[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]

Thus new account balance by deposit of $378.42 will be $3014.83.

To know more about addition follow

https://brainly.com/question/24536701

Answer:

Step-by-step explanation:

c

Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x

Answers

option b is correct, (b)6x+8

A rectangular garden is 15.m long and 10m broad. find its perimeter and area.​

Answers

Answer:

The perimeter is 50.

The area is 150.

Step-by-step explanation:

To calculate perimeter, add the length and width, then multiply the sum by 2.

( 15+10=25. 25*2=50 )

To calculate area, multiply the length and width.

( 15*10=150 )

Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?

Answers

Answer to Q one: $0.25
Answer to Q two: $44

Answer:

its cost 25 cents

in so will cost 275 cent so 2.75

Step-by-step explanation:

Find m< A
Round to the nearest degree

Answers

Answer:

a bit more than 48°

Step-by-step explanation:

We use the law of cosines for this.

The theorem is an extension of pythagoras' theorem, working for all triangles. In our case

[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]

Let's replace all the values we have and find whatever is left.

[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]

Write the log equation as an exponential equation. You do not need to solve for x.
In (3x + 2) = 3x

Answers

[tex]\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2[/tex]

15 points possible!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

The answer would be 195 Strikeouts

Step-by-step explanation:

You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.

Let's analyze the data

Three players got 15 strikeouts

Five players got 16 strikeouts

Two players got 17 strikeouts

Two players got 18 strikeouts

Now lets solve:

      Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18

                                                     = 15 + 80 + 34 +36

                                                     = 95 + 70 = 165

Hope that helps!

The perimeter of the triangular park shown on the right is 15x+2 . What is the missing​ length? The other two lengths are 5x-1 and 4x+4

Answers

Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1

Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?​

Answers

The answer is
24 devidid by 4 is 6

y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B ​

Answers

Given the exponential function y = f(x), a is the initial value and it will fall to a value of B

What is an exponential function?

An exponential function is given by:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B

Find out more on exponential function at: https://brainly.com/question/12940982

Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?

Answers

Answer:

Your answer would be:
3,384 books are left in the library

If each patron has 6 books, and there are 564 patrons:

564 x 6 = 3,384 books left

In conclusion, there are 3,384 books left in the library.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Draw a number line to represent the street sign below

Answers

Its kind of like how it is on a car to tell how fast your going i hoped this helped!

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

See below.

Step-by-step explanation:

The answer would be 2 3/4.

The third tick represents 3/4, and this is between 2 and 3.

-hope it helps

Answer:

My guess is 2 3/4

Step-by-step explanation:

Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.

How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible

Answers

2 flavors and 4 scoops


total different possibilities = 2^4 = 16


answer: 16

which trig ratio
determine which trig ratio to use to solve for x

Answers

Answer:

sin = opp / hyp

cos = Adj / hyp

tan = opp / adj


7. cos 41 = x / 86

8. sin x = 5/13

9. cos x = 9/37

10. tan 61 = x/28

11. sin 41 = x/65

12. tan x = 79/84

Step-by-step explanation:

Find the GCF for the set of numbers.

18, 36, and 60

Answers

Step-by-step explanation:

Factors of 36 are {1,2,3,4,6,9,12,18,36}

.

Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

Common factors are }1,2,3,4,6,12} .

greatest Common Factor is 12 .


What is the relationship between the difference in
the means and the MADs?

Answers

Answer:

Its the second one in the photo

Step-by-step explanation:

it's the second because when I clicked it I got it right.

I need it as a linear function thank you

Answers

[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]

now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]

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