Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32

Calculate The Mean Given The Frequency TableClassFrequency0-92410-192020-2932

Answers

Answer 1

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.


Related Questions

if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answers

Answer:

work is shown and pictured

can someone please help with this
tan x = 7/14

Answers

Answer:

x=0.5

Step-by-step explanation:

7 is half of 14, so for x to be equal to 7/14 it's also equal to 0.5

Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.

Answers

Answer:

The correct answers is:

The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions

Step-by-step explanation:

Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.

We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.

Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week

Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above

Answers

Answer:

668

Step-by-step explanation:

She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer

Answer:

668

Explanation:

To solve this problem, add 539 and 129 meters together.

539 + 129 = 668

Therefore, 668 represents Anita's change in altitude.

What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP

Answers

Answer:

[tex]42cm^2[/tex]

Step-by-step explanation:

Well there are 6 faces on a cube and if each face is 7, the total should be 42.

The surface area of the cube is A = 42 cm²

What is the surface area of cube?

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the surface area of cube be A

Now , the value of A is

Let the area of one face S = 7 cm²

So , Surface area A = 6a²

On simplifying , we get

A = 6 x 7 cm²

A = 42 cm²

Hence , the surface area is 42 cm²

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x ᵐ / y ᵐ = (y/x) -ᵐ True] False

Answers

Answer:

it is true because when we open the brackets due to negative sign x shiht upwards and y shift downwards with power m

A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)

none of these

260.9 revolutions

8.8 revolutions

1261.3 revolutions

Answers

Answer:

1261.3 rev

Step-by-step explanation:

Circumference of tire: 3.14(4/3)

4.187 ft.

5280/4.187

1261.3

In the function f(x) = x^2 - 2x + 3, what is f(2)?

Answers

The right answer is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Please help me with 1 more question ill give good ratings please!

Answers

Answer:

(4, - 4 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )

PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!

Answers

Answer:

incorrect: y= -1.5x

correct: The slope is 3.

HOPE I HELPED!!!

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(-6-(-2))

m=2/-4

m=-1/2

f is a one-to-one function, and (4,7) is on the graph of f. Write the coordinates of a
known point or the graph of f-1
Format

Answers

Answer:

(7, 4)

Step-by-step explanation:

One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.

If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7)  is on the graph of f(x), therefore (7, 4)  is on the graph of f^-1(x)

please help and answer this for me

Answers

Answer:

Subtract 58 from both sides

Step-by-step explanation:

Find the measurement of the inscribed angle CDB indicated below

Answers

Answer:

∠ CDB = 45°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ CDB = 0.5 × BC = 0.5 × 90° = 45°

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Answers

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

Data

AB = 10BD = 5DE= 12Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

The length of BC is 8 units.

The given figure is image 1.

From the image: AD = AB + BD = 10 + 5 = 15.

From the image triangle ABC and ADE are similar.

So their sides will be in the same ratio.

[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]

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Which expression is equivalent to x^2-10x+24

Answers

Answer:

(x-4)(x-6)

Step-by-step explanation:

By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.

Create a two column proof of each problem. Please help!!

Answers

Step-by-step explanation:

In this way it is proved


The following table shows the probability distribution for a discrete random
variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59

Answers

Answer:

Because the random variable X is discrete, the variance of X is defined as

var(X) = 

where

p =  values of probability as given in the table.

μ = 18.59

Calculate the array (x - μ).

x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]

Calculate the array (x-μ)².

(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]

Calculate the array p*(x-μ)².

p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]

Calculate the variance of X.

var(X) = 23.182

Step-by-step explanation:

Answer: 23.18 (nearest hundredth)

Answer: 18.59

Step-by-step explanation:

A P E X

anyone wanna help with this short chart right quick

Answers

Answer:

should look like this

Step-by-step explanation:

sorry for the messiness was a quick sketch

The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.

Answers

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

First the blue image is translated

Then it is rotated 180° to get the red figure with coordinates (-x, -y)

Two transformation that is equivalent to a reflection

Hence, the two transformations are;

First the blue image with coordinates (x, -y) is translated to get (-x, -y)

Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

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A motorboat travels 50 miles downstream in a river, then turns around and travels back to its starting point. The total trip takes 8 hours. The rate of the current in the river is 2miles per hour. Remembering that distance = rate x time, what is the rate of the motorboat in calm water? HELP NEEDED ASAP
A. 0.31 miles per hour
B. 2.08 miles per hour
C. 12.5 miles per hour
D. 12.8 miles per hour

Answers

Answer:

The speed of the boat in calm water is 12.8 miles per hour.

Step-by-step explanation:

While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.

[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]

For the upstream:

[tex]time_{up} = \frac{50}{x - 2}[/tex]

For the downstream:

[tex]time_{d} = \frac{50}{x + 2}[/tex]

The sum of each of these times must be equal to "8 h", therefore:

[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]

Since the speed can't be negative in this context, the only possible answer is 12.812 mph.

Answer:

12.8

Step-by-step explanation:

Exponential function f is represented by the table.

x 0 1 2 3 4
f(x) 15 7 3 1 0

Function g is an exponential function passing through the points (0,9) and (3,0).

Which statement correctly compares the two functions?

A.
Both functions are decreasing on [0, 3], and function g is decreasing at a faster rate.
B.
Only function g is decreasing on [0, 3], and only function f is positive on that interval.
C.
Only function f is decreasing on [0, 3], and both functions are positive on that interval.
D.
Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.

Answers

Considering the given exponential functions, it is found that the correct statement is:

D. Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.

What is the behavior of each exponential function?For function f, we have that it is decreasing, as it is greater at x = 0 than at x = 4, and it decreases by an average of 3.75 units when the input changes by 1.For function g, we also have that it is decreasing, as as it is greater at x = 0 than at x = 3, and it decreases by an average of 3 units when the input changes by 1.

Hence option D is correct.

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Which statements are true?

Select each correct answer.


All squares are parallelograms.


No trapezoids are parallelograms.


All rectangles are squares.


All rectangles are quadrilaterals.

Answers

Answer:

All squares are parallelograms, and all rectangles are quadrilaterals are both true

Step-by-step explanation:

Answer:

The answer is a and d

a) All squares are parallelograms

d) All rectangles are quadrilaterals

hope i helped!

HELP ASAP!!!! There is a clip below.

Answers

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6

Answers

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

The solution for the system of given linear equations is (-2, 3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

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a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided

Answers

Answer:

Option B.

Step-by-step explanation:

A relation is called a function if there exist unique value of y for each value of x.

In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.

In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.

In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.

In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.

Therefore, the correct option is B.

Answer: B.{(3,9), (7. - 4), (-7,7)}

Step-by-step explanation: got it right on edge

On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x

Answers

Answer:

a reflection of ΔRST across the line y = –x

Step-by-step explanation:

A reflection across the line y = –x transforms point (x, y) into (-y, -x)

After reflecting ΔRST across the line y = –x we get:

R (-1, 3) -> (-3, 1)

S (3,-2) -> (2, -3)

T (1, -4) -> (4, -1)

where S is at the desired vertex

Answer:

The answer is D

Step-by-step explanation:

Have a nice day!

The opposite of the original statement. These statements are also called the inverse of a conditional statement.

Answers

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

Please help I need it done it is my last homework thank you...

Answers

Answer:

98%

Step-by-step explanation:

Percent means out of 100

49/50

Multiply the top and bottom by 2

49*2 = 98

------------

50*2 = 100

98/100

The percent is 98%

_________________________________

Hey!!

Solution,

49/50*100%

=98%

So the right answer is 98%

hope it helps..

Good luck on your assignment

_____________________________

a) write a formula for the perimeter p of the figure.

b) calculate the value of x if p=64​

Answers

Answer:

[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]

The shape on the left is transformed to the shape on the right.
B
A'.
B
с
A
D
C
Which of the following statements describes the transformation?
O ABCD →A'B'C'D'
O A'B'C'D' → ABCD
ABCD→D'A'C'B'
O D'B'C'A → CADB

Answers

Answer:

Step-by-step explanation:

definitely A

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