In a study of author productivity, a large number of authors were classified according to the number of articles they had published during a certain period. The results were presented in the accompanying frequency distribution:

Number of papers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Frequency 708 204 127 50 33 28 19 19 6 7 6 7 4 4 5 3 3

Required:
Construct a histogram corresponding to this frequency distribution.

Answer:

314.2 cm³

Step-by-step explanation:

Volume of a cone [tex] = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

The volume of the cone

[tex] = \frac{1}{3} \times \pi \times {5}^{2} \times 12[/tex]

[tex]= 314.15926...[/tex]

= 314.2 cm³ (rounded to the nearest tenth)

Answer: 314

Step-by-step explanation:

Answer:

[tex]y = \frac{384}{9}[/tex]

Step-by-step explanation:

Given

[tex]y\ \alpha\ x^2[/tex] --- direct variation

[tex](x,y) = (3,24)[/tex]

Required

y when x = 4

[tex]y\ \alpha\ x^2[/tex]

Express as an equation

[tex]y = kx^2[/tex]

Substitute: [tex](x,y) = (3,24)[/tex]

[tex]24 = k*3^2[/tex]

[tex]24 = k*9[/tex]

Solve for k

[tex]k = \frac{24}{9}[/tex]

To solve for y when x = 4, we have:

[tex]y = kx^2[/tex]

[tex]y = \frac{24}{9} * 4^2[/tex]

[tex]y = \frac{24}{9} * 16[/tex]

[tex]y = \frac{24 * 16}{9}[/tex]

[tex]y = \frac{384}{9}[/tex]

Answer:

2496 cm sq.

Step-by-step explanation:

Length equals 52cm and Perimeter is 200cm.

Area = Length x Breadth (or Width).

To find the area we have to first find the breadth.

2 x (Length + Breadth) = Perimeter.

Substituting what's given in the question, we get:-

2 x ( 52 + Breadth) = 200

52 + Breadth = [tex]\frac{200}{2}[/tex]

52 + Breadth = 100

Breadth = 100 - 52

Breadth = 48cm.

So, Area equals-------->

Length x Breadth

= 52 x 48

Area = 2496 cm sq.

Answer:

[tex]n \leqslant 4[/tex]

Step-by-step explanation:

[tex] - 3n - 5 \geqslant - 17[/tex]

[tex] - 3n \geqslant - 12[/tex]

[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]

[tex]n \leqslant 4[/tex]

Answer:

B

Step-by-step explanation:

y-intercept is where x is zero, so we must look at where the y-iterceot is crossed

9514 1404 393

Answer:

  -6, -5, -4, -3

Step-by-step explanation:

Integers greater than -7 include ... -6, -5, -4, ....

Integers less than or equal to -3 include ... -3, -4, -5, ....

The set of integers in the range -7 < n ≤ -3 is ...

  {-6, -5, -4, -3}

Answer:

Every day Dajuan will paint 14.5 square feet of the wall.

Step-by-step explanation:

Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:

((14.5 x 10) x 0.4) / 4 = X

(145 x 0.4) / 4 = X

58/4 = X

14.5 = X

Therefore, every day Dajuan will paint 14.5 square feet of the wall.

Answer:

the answer should be B becaise just multiply and then round up that is what I got good luck

Answer:

Students 1 & 4

Step-by-step explanation:

An expression has NO equal sign, EQUATIONS have equals.

2 & 3 have equals which makes then equations.

~R3V0

Answer:

C. 162.5 sq ft.

Step-by-step explanation:

Given the following data;

S.A of smaller cylinder, S1 = 65 ft²

Ratio = 2:5 = 2 + 5 = 7

Let the total surface area be x.

S1 = 2/7 * x = 65

S1 = 2x = 65 * 7

S1 = 2x = 455

x = 455/2

x = 227.5 ft²

To find the surface area of the larger cylinder;

S2 = 5/7 * 227.5

S2 = 1137.5/7

S2 = 162.5 ft²

Answer:

Life insurance

Step-by-step explanation:

The rest are governm taxes

Answer:

Average low temp. = 6.  The fourth number is 9.

Step-by-step explanation:

To find the average of 7 low temperatures, add them and divide the sum by 7.

Average low temp. = (5 + 8 + 6 + 5 + 10 + 7 + 1) / 7 = 42 / 7 = 6

The mean is the average.  Call the missing number  x.

There are four numbers, three of which are given.  Add all the number, including the unknown  x, then divide the sum by 4.  The result is 7 (given in the problem).

[tex]\frac{5+7+7+x}{4}=7\\\frac{19+x}{4}=7\\19+x=28\\x=9[/tex]

Answer:

C

Step-by-step explanation:

The answer is c because when 2, -1 is plugged into the equation, you get

.5(2) - 2(-1) >/= 3

when solved -

1 + 2 >/= 3 -

3 >/= 3

and this is in the solution set because three is equal than or greater to three

Answer:

[tex] - \frac{2}{4 } = - \frac{16}{32} [/tex]

[tex] - \frac{6}{8} = - \frac{24}{32} [/tex]

[tex] - \frac{13}{32} = [/tex]

remains the same

Answer:

options pls. or any image.......................................

The distance between two points is √29 unit.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

We have the points (-2, 3) and (3, 1).

Using Distance formula

= √(1-3)² + (3 - (-2))²

= √ (-2)² + (5)²

= √ 4 + 25

= √29 unit

Thus, the distance between two points is √29 unit.

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Answer: The mode is 12

Step-by-step explanation: It is the most common number in the data set.

Answer:

Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e  i hope that helps :)

The surface area of the figure will be equal to 1326 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that:-

The surface area will be calculated as:

SA = 2 { LW + LH + WH )

SA = 2 { ( 9 x 12) + (15 x 22 ) + (15 x 9 )}

SA = 1326 square meters.

Therefore the surface area of the figure will be equal to 1326 square meters.

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Answer:

y = 2/3x + 5

Step-by-step explanation:

Hope this helps! :)

Answer:

Natalie is 13 years old, while Fred is 28 years old.

Step-by-step explanation:

Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:

N + F = 41

3N + F = 67

(67 - 41) / 2 = N

26/2 = N

13 = N

13 x 3 + F = 67

39 + F = 67

F = 67 - 39

F = 28

28 + 13 = 41

Therefore, Natalie is 13 years old, while Fred is 28 years old.

Answer:

216 cubic inches

Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.

What is a cube?

A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.

Given, length of the each side of Jena's small jewelry box = 2 inches.

Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.

Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.

Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.

Hence, the difference = (140 - 8) inches³ = 132 inches³.

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Answer:

Option A.

Step-by-step explanation:

Function f:

For x between -1 and 2, the values of f(x) increase, which means that f(x) is increasing.

Function g:

[tex]g(x) = -18(\frac{1}{3})^x + 2[/tex]

Between -1 and 2:

[tex]g(-1) = -18(\frac{1}{3})^{-1} + 2 = -18*3 + 2 = -54 + 2 = -52[/tex]

[tex]g(0) = -18(\frac{1}{3})^{0} + 2 = -18*1 + 2 = -18 + 2 = -16[/tex]

[tex]g(1) = -18(\frac{1}{3})^{1} + 2 = -18*\frac{1}{3} + 2 = -6 + 2 = -4[/tex]

[tex]g(2) = -18(\frac{1}{3})^{2} + 2 = -18*\frac{1}{9} + 2 = -2 + 2 = 0[/tex]

Both are increasing.

However, g starts with a lower value, and finishes with a higher value, which means that function g increases at a faster average rate, and the correct answer is given by option A.

The Answer Is 18

Order Of Operation laws says that you must do the parentheses first, 45x2.

45x2=90

The next thing you must do is divide 90 by 10 since division is before addition.

90/10=9

Now combine like terms.

9+9=18

Answer:

A

Step-by-step explanation:

Answer: 11.2$

Step-by-step explanation:

Answer:

56  hardwood     80  pine bark

Step-by-step explanation:

H = hardwood    B= pine bark

B +H = 136

B = (136-H)

4.25 H + 3.75 (136-H) = 538

4.25H + 510 - 3.75H = 538

0.5 H = 28

1H = 56   (56 Hardwood)

136-56= 80  

56x 4.25 + 80 x 3.75 = 538

$238 + $300 = $538

Answer:

Hello!

Here are the coordinates and a picture example!

Original coordinates: -3, -5

New coordinates: 3, -5

Hope that helps!