Mathematics High School

Suppose it costs ​$15 to roll a pair of dice. you get paid 2 dollars times the sum of the numbers that appear on the dice. what is the expected payoff of the​ game? is it a fair​ game?

Answers

Answer 1
no. it is not a fair game because each roll is worth $15 and no matter what u roll, you won't get $15 or more so you'll just be losing money every time u roll
Answer 2

We can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is it costs ​$15 to roll a pair of dice and you get paid 2 dollars times the sum of the numbers that appear on the dice.

Assume that you get x and y value on dice 1 and dice 2 respectively. Then the equation representing the money recieved by a individual will be -

2(x + y)

The game will be fair if -

2(x + y) > 15

Now, for the sum of (x + y) = 7, the player will not have any profit. However, from (x + y) = 8, the players will start making profits. So, we can say it is a fair game, if your luck is not bad so far.

Therefore, we can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

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Related Questions

Find the diameter of a circle whose equation is x2+(y−2)2=100x2+(y−2)2=100.

400

20

10

100

Answers

In this question r^2 = 100

Take the square root of 100
sqrt(r^2) = sqrt(100)
r = 10

But you want the diameter.
d = 2 * r
d = 20

B answer.

How to find the area of a triangle with a base of 32ft

Answers

Well to find the area of any figure you must first have knowledge on the formula. The formula for a triangle is 1/2 x b x h. Since you have the base 32, multiply that by 1/2 which will give you 16. Then you have to multiply 16 by the height. I'm not sure what the height is because you never gave me one but hopefully this helped! God bless :)

what is the product? -9x(5-2x) 18x2 -45x -18x2-45x -18x-45 18-45x

Answers

Answer: A.

Step-by-step explanation:

The product of equation is 18x² - 45x.

What is linear equation?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given equation -9x(5 - 2x)

product  = -9x(5) - (-9x)(2x)

= -45x + 18x²

= 18x² - 45x

Hence the product is 18x² - 45x.

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Haley sings for $1,000 an hour. Her rate increases by 50% after midnight. If she sings one
night from 8:30 pm until 1:00 am, how much should she be paid?
a) $4500 b) $5000 c) $5500 d) $6000

Answers

The Answer is B) 5000$

How can you prove a triangle is a right triangle? select one:a. use the distance formula to see if at least two sides are congruent.b. use the slope formula to see if any sides are perpendicular.c. use the distance formula to see if all three sides are congruent.d. use the slope formula to see if any sides are parallel?

Answers

B.
__________________

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles right triangle.

Answers

Answer:

Step-by-step explanation:

What is the area of the triangular base? 8 square feet

What is the length of edge DF? 4 feet

Answer:

What is the area of the triangular base?

 8 square feet

What is the length of edge DF?

4 feet

Step-by-step explanation:

just did the quiz on EDG

What is the 12th term of the sequence? 3, −9, 27, −81, 243, ...

531441
−531441
177147
−177147

Answers

The answer would be B. -531,441.

There are 2 ways you can find this.

A. You can find this by starting with 3, and multiply -3 then multiply -3 to each product after that 11 times. Or...

B. Simply find 3 to the 12th power. Then add a negative since each even term (term 2, 4, 6, etc) are negative.

I hope this helps!

Anna and Ryelin together have 895 songs downloaded. Ryelin has 177 more songs downloaded than Anna. How many songs do each of them have?

Answers

Let,
x = number of songs downloaded by Anna
y = number of songs downloaded by Ryelin

Then,
x + y = 895 ----- (1)

But, it is also indicated that,
y = x+177

Substituting for y in (1);
x+(x+177) = 895
2x + 177 = 895
2x = 895-177 = 718
x = 718/2 = 359 songs
y = x+177 = 359+177 = 536 songs

∴ Songs downloaded by Anna = 359 songs
   Songs downloaded by Ryelin = 536 songs

A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer?

547.1 mm2
972.6 mm2
60.8 mm2
243.3 mm2

Answers

Answer: [tex]243.3\ mm^2[/tex]

Step-by-step explanation:

Given: The diameter of smaller circle = 13.2 mm

Then the radius of smaller circle r =[tex]\frac{13.2}{2}=6.6\ mm[/tex]

Also, the radius of larger circle R= [tex]6.6+4.4=11.0\ mm[/tex]

Now, the area of the washer is given by :-

[tex]\text{Area of washer=Area of larger circle-Area of smaller circle}\\\\\Rightarrow\\text{Area of washer}=\pi R^2-\p r^2\\\\\Rightarrow\\text{Area of washer}=\pi(R^2-r^2)\\\\\Rightarrow\\text{Area of washer}=(3.14159265359)((11.0)^2-(6.6)^2)\\\\\Rightarrow\\text{Area of washer}=243.284935094\approx243.3\ mm^2[/tex]

Final answer:

The area of the washer is 0 mm2.

Explanation:

To find the area of the washer, we first need to find the area of the larger circle and the area of the smaller circle. The formula for the area of a circle is A = πr^2.

The larger circle has a diameter of 13.2 mm, so the radius is half of that, which is 6.6 mm. Plugging this value into the formula, the area of the larger circle is approximately 136.78 mm2.

The smaller circle has a diameter of 13.2 mm, so the radius is again 6.6 mm. Using the same formula, the area of the smaller circle is also approximately 136.78 mm2.

To find the area of the washer, we subtract the area of the smaller circle from the area of the larger circle: 136.78 mm2 - 136.78 mm2 = 0 mm2. Rounded to the nearest tenth, the area of the washer is 0 mm2.

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The lateral area of a cone is 555 \pi cm^2 and the radius is 15.1 what is the slant height?

Answers

we know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm

the answer is
the slant height is 36.75 cm

98 POINTS AND BRAINLIEST!!!!!!!!!!!

Answers

p(x) = (r-c)(x)
p(x) = r(x) - c(x)
p(x) = [ r(x) ] - [ c(x) ]
p(x) = [18x] - [5x+20]
p(x) = 18x - 5x - 20
p(x) = 13x - 20

Answer is choice A

Hello!

I believe the answer is A) p(x) = 13x -20.

I hope it helps!

It takes 60 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed

Answers

Hello!

You divide the amount of space planted by the weight of seeds it took

10 / 60 = 0.6

It takes 0.6 pounds of seeds to plant 1 acre of land

Hope this helps!

How do you complete the square of x^2-14x+33=0?

Answers

x² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.

Subtract 33 from both sides
x² - 14x = - 33

Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides

x² - 14x + 49 = - 33 + 49

Combine the constants and factor the trinomial
(x - 7)² = 16

Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4

You have to place a plus-minus statement because (- 4)² and 4² both equal 16. 

Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11

Final answer:

To complete the square for the equation x^2-14x+33=0, the constant 33 is moved to the other side, and the number needed to make the left side a perfect square trinomial, 49, is added to both sides, resulting in factoring and solving (x - 7)^2 = 16 to find x = 11 and x = 3.

Explanation:

To complete the square for the equation x^2-14x+33=0, you need to form a perfect square trinomial on the left side of the equation. First, you'll move the constant term to the right side:

x^2 - 14x = -33

Next, find the value that completes the square for the x-terms. This value is obtained by taking half of the coefficient of x (which is -14 in this case) and squaring it, giving us (-7)^2 = 49.

Add 49 to both sides of the equation:

x^2 - 14x + 49 = -33 + 49

x^2 - 14x + 49 = 16

Now, the left side of the equation is a perfect square trinomial, and can be factored into:

(x - 7)^2 = 16

To solve for x, take the square root of both sides:

x - 7 = [tex]\sqrt{16}[/tex]

x - 7 = +- 4

Finally, solve for x by adding 7 to both sides:

x = 7 +- 4

x = 11 or x = 3

solve the equation
3x-3= -18

Answers

Alright! So the first step to solving 3x-3=-18 is isolating the variable. In other words, you want to make sure x is all by itself on one side of the equal sign.

3x-3=-18
   +3   +3  Remember: What you do to one side, you have to do to the other.
3x = -15

Now divide by the coefficient (the number in front of x).

(3x)/3 = (-15)/3
x = -5

The solution of the  equation 3x-3= -18 is  -5.

The  algebraic expressions which are separated by an equal symbol  in between them and with the same value is called is an equation

Example = 5x + 5 = 12

here, x is a variable and 5 and 12 are constants.

Given equation;

3x-3= -18

To find the value of x add 3 to both side, we get

3x = -18 +3

we get

3x = -15

divide both side by 3 we get

[tex]x = \dfrac{-15}{3}[/tex]

Convert in into the lowest form we get,

x = -5

The solution of the  equation 3x-3= -18 is  -5

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What value of c makes the trinomial below a perfect square x2 + 7x + c?

Answers

we have that
x² + 7x + c
Group terms that contain the same variable
(x² + 7x )+ c
Complete the square. Remember to balance the equation 
(x² + 7x+3.5² )+ c-3.5²

Rewrite as perfect squares

(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25

the answer is
the value of c must be 12.25

Answer:49/4

Step-by-step explanation:

please help me figure out this probability problem!!!

Answers

10 + 5 + 1 = 16 - all balls
The probability that the first ball is red: [tex]P(R)=\dfrac{10}{16}=\dfrac{5}{8}[/tex]
The probability that the second ball is black: [tex]P(B)=\dfrac{1}{15}[/tex]
Together:[tex]P(R)\cdot P(B)=\dfrac{5}{8}\cdot\dfrac{1}{15}=\dfrac{1}{24}[/tex]

10 + 5 + 1 is 16. There are 10 red balls, and there are 16 balls altogether. If you’re asking for a fraction, it would be 10/16. 10/16 as a simplified fraction is 5/8. The probability that the first ball is red is 5/8. There is one black ball, and 16 altogether. If you’re asking for a fraction, it would be 1/16. 1/16 can’t be simplified anymore because it is already in its lowest terms. So the probability of drawing out a black ball is 1/16.
So your answers are....

First ball being red: 5/8

Second ball being black: 1/16

Hoped this helped. Have a nice day!

Which expression is equivalent to x3 – 7x – 6?

Answers

The zeros of the function are -2, -1, and 3.
The function is f(x) = (x + 2)(x + 1)(x - 3)
Answer is D.

Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an average of 12 paintings. What is the average number of paintings made by children at the art camp? Enter your answer in the box.

Answers

The 7 out of ten adds up to 56 the last 3 add up to 36 which equals 92 divided by ten is 9.2 average....

How many times larger is 4 x 1016 than 5 x 108?

Answers

4 × 1,016 = 4,064

5 × 108 = 540

4,064 ÷ 540 = 7.5

Answer = 7.5

~Aamira~

Hope this helped☺☺

HELP ME PLEASE I DONT UNDERSTAND THIS PROBLEM!!!!! Worth 20PT
a ball is thrown with a slingshot at a velocity of 100 ft/sec at an angle 21 above the ground from a height of 5ft approximately how long does it take for the ball to hit the ground? acceleration due to gravity is 32 ft/s^2

Answers

It takes approximately 6.3 seconds to hit the ground.

We use the equation h(t)=-1/2gt²+v₀t+h₀ to set this up.  g is the acceleration due to gravity, v₀ is the initial velocity and h₀ is the initial height:
h(t) = -1/2(32)t² + 100t + 5
h(t) = -16t² + 100t + 5

We will use the quadratic formula to solve this:
[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\=\frac{-100\pm\sqrt{100^2-4(-16)(5)}}{2(-16)} \\ \\=\frac{-100\pm\sqrt{10000--320}}{-32} \\ \\=\frac{-100\pm\sqrt{10320}}{-32} \\ \\=\frac{-100\pm101.59}{-32} \\ \\=\frac{-100+101.59}{-32}\text{ or }\frac{-100-101.59}{-32} \\ \\=\frac{1.59}{-32}\text{ or }\frac{-201.59}{-32} \\ \\=-0.05\text{ or }6.3[/tex]

Since a negative amount of time makes no sense, the answer is 6.3.

Answer:

D) 2.37 seconds

Step-by-step explanation:

Took the test and got it wrong.

Help me please & thank ya

Answers

Answer is C: Step 3, because a number has been added only to one side of the equation.

Hope this helps.

What is true about side AB and side AD?

Answers

Side AB and side AD are perpendicular because they cross at a ninety degree angle, and the sides are also the same length. 

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?



Answers

Final answer:

To divide 2y² + 8 by 2y + 4, use long division to find the quotient and remainder.

Explanation:

To divide 2y² + 8 by 2y + 4, we can use long division. Here are the steps:

Divide the first term of the dividend by the first term of the divisor, which gives us y.

Multiply the entire divisor by y to get 2y² + 4y.

Subtract 2y² + 4y from the dividend 2y² + 8 to get 4.

Next, divide 4 by 2y + 4, which gives us 2.

Finally, we have a remainder of 0.

Therefore, the quotient is y + 2 and the remainder is 0.

For which angle is secant undefined?
30°
45°
180°
270°

Answers

180
The secant is undefined at angle values that represent 1/4 and 3/4 of a full circle. At these angles, the triangle geometrically vanishes into a simple line segment on the Y axis. The value of the triangle's adjacent side is zero and division by zero is undefined.

Answer:

the answer is 180 degrees

Step-by-step explanation:

i used my head and my google maths

A 3 inch wide border is wrapped around a rectangular prism. the length of the rectangular prism is 8 inches longer than its width. the surface area covered by the border is 383 square inches. what is the width of the rectangular prism? answer in units of inches.

Answers

It might be 4 but I could be 1 actually it 100,334

Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation would she use to find the difference?

Answers

Sharon would subtract the amount that she stacked from Diane to figure out the difference.

Hope this helped :D

Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 /34 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?

Answers

10 2/4, hope it helps!

Answer:

[tex]10\frac{1}{2}\text{ pounds}[/tex]

Step-by-step explanation:

Given,

For a recipe,

Cindy needs tomatoes = [tex]4\frac{3}{4}[/tex] pounds,

While, Giovanni needs tomatoes = [tex]5\frac{3}{4}[/tex] pounds,

If they make both recipes,

Then, total tomatoes they need = [tex]4\frac{3}{4}+5\frac{3}{4}[/tex]

[tex]=\frac{19}{4}+\frac{23}{4}[/tex]

[tex]=\frac{42}{4}[/tex]

[tex]=10\frac{2}{4}[/tex]

[tex]=10\frac{1}{2}\text{ pounds}[/tex]


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answers

x = -3 / -12 = 1/4 Answer

Answer:   1/4

don't forget to rate and thank plz.

A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?

Answers

all you have to do it do 60 - 35 = 25 dollars because they want to know if the original price would be 60 dollars and they wanna know the anwser if you took away 35 dollars. so then you just subtract

Solve the equation using square roots. 3x2 – 27 = 0

Answers

Hi there!
The answers are x = 3 and x = -3.

[tex]3 {x}^{2} - 27 = 0[/tex]
Add 27.

[tex]3 {x}^{2} = 27[/tex]
Divide by 3.

[tex] {x}^{2} = 9[/tex]
Take the root and the negative root.

[tex]x = \sqrt{9} = 3 \: \: or \: \: x = - \sqrt{9} = - 3[/tex]
Therefore, the answers are x = 3 and x = -3.

~ Hope this helps you!

The value of X  are x = 3 and x = -3. using square root.

What is square root?

A square root can be regarded as a factor of a number in the sense that when that number is multiplied by itself, it gives the original number.

3x²– 27 = 0

⇒3x²= 27

⇒x²= 27/3

⇒x² = 9

⇒x = sqrt(9)

⇒ x =±3

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