You are looking over your grades in a class
and want to calculate your average score per
lesson.
Your lesson scores are: 75, 85, 90, 90, 100,
75, 80, 100, 90.
What is the mean? Round to the nearest %.

The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.

Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.

Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.

The winning strategy of B is described by 3 rules which are;

Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.

In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.

Read more about probability at; https://brainly.com/question/24756209

#SPJ2

Answer:

[tex]x > \frac{105}{2}[/tex]

Step-by-step explanation:

Let's say that the number is [tex]x[/tex].

He doubles the number and then subtracts five to get the number to be [tex]2x - 5[/tex]. If the result cannot be less than 100, then we can write the inequality [tex]2x - 5[/tex] > [tex]100[/tex]. Now, solving for x, we get [tex]x > \frac{105}{2}[/tex].

Answer:

Step-by-step explanation:

let K be the cost of a knife

    S Ben the cost of a spoon

The statement “a knife is four times the cost of a spoon”

means  K = 4S

means  S = (1÷4)K

the statement “12 spoons and 16 knives cost £105.64”

means  12S + 16K = 105.64

⇔ 12(1÷4)K + 16K = 105.64

⇔ 3K + 16K = 105.64

⇔ 19K = 105.64

⇔ K = 105,64÷19

       = £5.56

Answer:

The last option

Step-by-step explanation:

You take the middle 2 numbers, add them up, and divide by 2.

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

Answer:

B

Step-by-step explanation:

Answer:

[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].

With this in mind, we can integrate:

∫[tex]x^2 - 2x + 4[/tex]

= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].

We can also check our answer by differentiating our answer:

[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]

so we are correct!

hope this helped!

Answer: yes

Step-by-step explanation:

it’s the 41st term

Answer:

She has not got enough spice for 6 weeks.

Step-by-step explanation:

Remark

0.35 kg = 0.35 * 1000 grams / kg = 350 grams.

Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.

Answer:

85 44/100

Step-by-step explanation:

I think this is the corect anser

Answer:

8 2/5

7 1/2 times 12 divided by 100 = 0.9

7 1/2 + 0.9 = 8.4

as a mixed number it would be 8 2/5

Step-by-step explanation:

Answer:

3x^2 [squared] + 20x + 32 (If your factoring)

Step-by-step explanation:

3x X x = 3x^2

3× X 4 = 12x

8 X x = 8x

8 X 4 = 32

Answer:

a. 35, 34

b. 25, 18

Step-by-step explanation:

Answer:

its 5/7

Step-by-step explanation:

no of marbles that r not orange = 30

no of total marbles = 42

probability = 30/42

= 15/21

= 5/7

I hope my answer is helpful

Answer:

It would be 70

Step-by-step explanation:

hope this helped :)

Answer:

-18a⁸

Step-by-step explanation:

-2a²(-3a³)²
-2a²*9a⁶ (Opening the square)
-18a⁸

Answer:   The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                  48.08 in³ ---------------- $1.99

                        15  in³ ----------------  x

                         x = (15 x 1.99)/48.08

                         x = 29.85/48.08

                         x = $0.62

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Answer:

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

Answer:

[tex]29i[/tex]

Step-by-step explanation:

From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]

= [tex]29i[/tex]

hope this helped! :)

Answer:

See below

Step-by-step explanation:

She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.

Answer:

x= -30

Step-by-step explanation:

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

Answer:

Below in bold.

Step-by-step explanation:

Circumference = π * diameter

= π * 7

= 20.99 cm to nearest hundredth.

Radius of the circle = 1/2 * diameter = 7/2

= 3.5cm.

Area = π r^2

= π * 3.5^2

= 38.48 cm^2 to nearest hundredth.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

            ◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

We're asked to find the circle's circumference, which can be found using the formula below:-

[tex]\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}[/tex]

Where:-

As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-

↬ [tex]\sf{C=\pi (7)}[/tex]

On simplification,

   ↬ [tex]\sf{C=7*3.14}[/tex]

Remember, 3.14 is pi.

On further simplification,

            ↬  C=21.98 cm.

So we conclude that the circumference of the given circle is:-

      C=21.98 cm.

Now, how about the area?

[tex]\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}[/tex]

Where:-

Notice that we only have the diameter and not the radius.

We can easily find the radius by dividing the diameter by 2:-

3.5

So the radius is 3.5.

Substitute the value of r into the formula, which results in:-

         ↬ [tex]\sf{A=\pi (3.5)^2}[/tex]

On simplification,

On further simplification,

A=12.25•3.14 (3.14 is pi)

On further simplification,

A=38.465 cm²

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

Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

Solving

Answer:

  12600 cm³

Step-by-step explanation:

The volume of a prism is the product of its base area and height:

  V = Bh

__

For your prism, this product is ...

  V = (630 cm²)(20 cm) = 12600 cm³

The volume of the box is 12600 cm³.

Answer:

I'm not too sure but I think It's 34

Step-by-step explanation:

Rusty in that particular area of math