the average of 15 pupils in a room is 11. if a man of 27 years enter the room. what will be the new average age?​

Answer:

47.

Step-by-step explanation:

1) the rule:

[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]

where a;b are 0 and 12, f(x)=x²-1.

2) according to the rule above:

[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]

Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

To find:-

Solution:-

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

✰ Given Information :-

⠀

A cylinder with following dimensions :

⠀

✰ To Find :-

⠀

⠀

✰ Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star[/tex]

⠀

Where,

⠀

✰ Solution :-

⠀

Putting the values in the formula, we get,

⠀

[tex] \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ [/tex]

⠀

Thus, the volume of the cylinder is 141.3 cm³.

⠀

[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]

Step-by-step explanation:

As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

[tex] \: [/tex]

We know,

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\[/tex]

Where,

[tex] \: [/tex]

Now, we will substitute the given values in the formula :

[tex] \: [/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\[/tex]

Note :

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

Answer:

7

Step-by-step explanation:

Equation: (3*8-3)/3

Step 1: (24-3)/3

Step 2: 21/3

Step 3: 7

Order of operations is used in this equation. You simplify the terms in the parentheses before the other terms in the equation. According to the order of operations (parentheses, exponents, multiplication, division, addition, and subtraction, you do the multiplication before the subtraction in the parentheses. Then you subtract your three from your multiplication result (twenty-four). This leaves you with 21. Finally, you divide twenty-one by three. This gets you seven.

Answer:

The answer is D

Step-by-step explanation:

(7/x² × x²)+(1/3×x²)+(x+2/x × x²)

(7 + x/3 + x²+2x) times 3 to eliminate the 3 under x/3

so u will get 21+x+3x²+6x

Final answer = 3x²+7x+21

Answer:

Step-by-step explanation: the meter is a unit of value in the US customary system

Answer: The gram is a unit of mass in the metric system

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

Answer:

  D.  A travels 90 miles more

Step-by-step explanation:

The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)

The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.

__

Already on 5 gallons of gas, Car A has traveled 30 miles farther. The only sensible answer choice is ...

  D.  Car A travelled 90 miles more than Car B [when 15 gallons are used].

Answer:

Step-by-step explanation:

You can get 10 with a pair of dice with:
4 + 6, 6 + 4, 5 + 5

out of a possibile 36 results

There are 52 cards in a standard deck of cards. Reds make up half of them (hearts and diamonds) , meaning theres a 50/50 chance of pulling red

10/36 * 1/2 = 5/36 chance of throwing 10 + pulling red

Answer:

15.6204994

Step-by-step explanation:

[tex]15.6204994^{2} = 244\\so\\\sqrt{244} = 15.6204994[/tex]

hope this helps!

The actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.

For instance, the scale of the drawing of the original aquarium is ¹/16.  This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.

Scale drawing = ¹/16 of the original aquarium

Length of the colored face = 2¹/₄ inches

The actual length of the colored face = 36 inches (2¹/₄ inches x 16)

Thus, the actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

Learn more about measurements at https://brainly.com/question/24842282

Answer:

C) 63°

Step-by-step explanation:

Just add the numbers up together to get your solution

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Answer:

the distributions are different

Answer:

(a) check the first one, and the second one

(b) check the last one

Step-by-step explanation:

This is quite easy actually.

3x+24 = 3 * x + 3 * 8

3(x+8) using distribute property.

3x + 24

You cannot simplify 3x+24 any further

And 3(8x+1) just doesn't work

since it's multiplying

The "*" is an X sign

The first, second, and third are not correct

But the last one is.

Answer:

B = A + 3

Step-by-step explanation:

Let B be the length of Garden B and A the length of Garden A.

We are told that B = A + 3

We can use this equation to find the length of Garden B.

Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

Answer:

3/16

Step-by-step explanation:

The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16

Answer:

8/3

Step-by-step explanation:

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

If you want to learn more about perimeters, you can read:

https://brainly.com/question/24571594

Answer:

This will be option D

Replace the k with -1/2 and f(x) with x^2

this will look like -1/2*x^2

plug this into a graphing website such as Desmos

The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ7

Answer:

the common factors for both are 1,2,3,6

Answer:

1/2 or 0.5 :)

Step-by-step explanation:

We can divide to see lower forns :)

14/28 = 7/14 = 1/2

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

2 pages every 7 seconds, divide by the common denominator which is 7 to get the answer

Answer:

  184 5/7 pages

Step-by-step explanation:

There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...

  1/7 × 1293 pages = 184 5/7 pages

Madeline will need to read 184 5/7 pages each day in order to finish.

Answer:

B. Pentagon

Step-by-step explanation:

A Pentagon is a polygon with 5 sides like this one.

Hope that helps!

Answer:

The number of Zeros (roots) is

-3 and -10

Step-by-step explanation:

x^2 + 19x = 6x - 30

Answer:

[tex]x= \dfrac 72, ~~y= -2[/tex]

Step by step explanation:

[tex]4x+5y=4~~~...(i)\\\\2x-y=9~~~...(ii)\\\\\text{Multiply eq (ii) by 2 to isolate x:}\\\\4x-2y=18~~~.....(iii)\\\\(iii)-(i):\\\\4x-2y-4x-5y=18-4\\\\\implies -7y=14\\\\\implies y = -\dfrac{14}7 = -2\\\\\text{Substitute}~ y=-2~ \text{in equation (iii):}\\\\4x-2(-2) = 18\\\\\implies 4x +4 = 18\\\\\implies 4x = 18-4\\\\\implies 4x = 14\\\\\implies x = \dfrac{14}4 = \dfrac 72\\\\\text{Hence}~ (x,y) =\left(\dfrac 72 , -2 \right)[/tex]

Step-by-step explanation:

4x+5y=4 (equation 1)

2x-y=9 (equation2)

solving equation 1 and 2 and multiplying equation 2 by 2

4x+5y=4

4x-2y=18

- + -

________

7y= -14

y= -2

putting the value of y in equation 2

2x-y=9

2x+2=9

2x=7

x=3.5

=============================================================

Reason:

There are 20 ways to pick the first person, 19 for the next, and 18 for the last. We count down by one each time we fill up a slot since we cannot reselect any person more than once.

If order mattered, then we'd have 20*19*18 = 6840 permutations.

However, order does not matter because no member has a special seat or role. The individual members don't matter and instead it's all about the group.

Notice that for any group of 3 people, there are 3*2*1 = 6 ways to arrange such individuals. We have to divide by 6 to go from 6840 permutations to 6840/6 = 1140 combinations.

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

Here's a more formulaic approach using the nCr combination formula.

Plug in n = 20 and r = 3

[tex]n C r = \frac{n!}{r!(n-r)!}\\\\20 C 3 = \frac{20!}{3!*(20-3)!}\\\\20 C 3 = \frac{20!}{3!*17!}\\\\20 C 3 = \frac{20*19*18*17!}{3!*17!}\\\\ 20 C 3 = \frac{20*19*18}{3!}\\\\ 20 C 3 = \frac{20*19*18}{3*2*1}\\\\ 20 C 3 = \frac{6840}{6}\\\\ 20 C 3 = 1140\\\\[/tex]