Two teams, a and b, are about to play a game. previous records show that a has an 80% chance of winning, while b has a 20% of winning. spectators can either choose to buy regular tickets or special tickets. a spectator with a special ticket will receive a refund of $2 if team a wins and a refund of $5 if team b wins. how much extra, minimally, should the special ticket cost to cover the expected value of the refunds offered?

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:

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:

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:

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

Keep the first fraction the same

Change the division symbol into a multiplication symbol

Swap the numerator and the denominator of the second fraction

Example:

[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2

- Kan Academy Advance

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:

see attached picture for details

a = BOA + COD

b = BOD

c = 150

d = BOA + COD

Step-by-step explanation:

see attached picture with color coded answers

The conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.

Here the given angle in radian is [tex]\dfrac{7\pi}{4}[/tex]

Angle in degrees is converted by multiplying it with [tex]\dfrac{180}{\pi}[/tex].

So the angle in degrees will be:-

[tex]=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}[/tex]

[tex]=\dfrac{7\times 180}{4}[/tex]

Angle=315°

Therefore the conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

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Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

Answer:

It would be 70

Step-by-step explanation:

hope this helped :)

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:

[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:

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:

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:

a. 35, 34

b. 25, 18

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Since it's given that these are similar triangles then the measure of angles are equal

2y - 40 = y + 10 transfer like terms to the same side of equation

2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)

y = 50

Answer:

x= -30

Step-by-step explanation:

The total weight of water and a full tank in the nearest pound is 16328 lb.

Volume of a hemisphere = (2/3) x (n) x (r^3)

3.14 x 5³ x 2/3 = 261.67 ft³

Weight = volume x weight per cubic foot

261.67 ft³ x 62.4 = 16328 lb

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Answer:

B

Step-by-step explanation:

Answer:

The last option

Step-by-step explanation:

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

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:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 10m = 393.7in

b = 6in

h = 7in

Substitute

A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches

Hence the given area of the trapezoid is 1398.9 square inches

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Answer:

The correct answer is 56. This is correct on e d g e .

Step-by-step explanation:

We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam

Answer:

Angle H is 133

Step-by-step explanation:

(h-48)+95=180

solve it and you will get 133

Answer:

133°

Step-by-step explanation:

from the diagram,

(h- 48)° +95°= 180° ( angles on a straight line)

h-48+95 = 180°

h+47 = 180

collect like terms

h = 180-47= 133°

Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

Solving

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!