Select ALL the correct answers.
Which of the following situations are fair?

Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt.
To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted.

Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5. Otherwise, he loses $1.
Jack and Mia both want the last cookie and neither will agree to share by splitting it. They ask a stranger passing by to flip a coin to decide who gets the cookie.

Ryan designs a game where a prize wheel is split into five equal sections. Four sections are red and one is green. If the wheel is spun and lands on a red section, the players loses $1. If the wheel lands on green section, the player wins $5.

Jericho designs a game for a school carnival. The game consists of a box of 50 colored balls; 35 are violet, 10 are orange, and 5 are yellow. The player has to choose one ball from the box. The player wins $5 if it is a yellow ball, otherwise, the player wins nothing.

Answer:

(0, -1)

Step-by-step explanation:

hope this helps :)

Answer:

Median = 6.1875

Mean = 6.375

Step-by-step explanation:

Given the data:

8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2

Arranging in ascending order :

3 1/8, 4 1/2, 5 1/4, 5 3/4, 6 5/8, 6 5/8, 8 1/2, 10 5/8

Median = 1/2(n + 1)th term

n = 8

1/2 (9) th term

= 4.5th term

(5 3/4 + 6 5/8) / 2

= 6.1875

Mean = Σx / n

Mean = 51 / 8

Mean = 6.375

Answer:

4/3<x<7

Step-by-step explanation:

Given the inequalities

3 < 3 x − 1 < 2 x + 6

Add 1 to all sides

3+1 < 3x-1+1<2x+6+1

4 < 3x < 2x + 7

Split

4 < 3x

3x > 4

x > 4/3

4/3 <x

Also

3x < 2x + 7

3x-2x < 7

x <7

Combine

4/3<x<7

Hence the required solution is 4/3<x<7

Answer:

Step-by-step explanation:

14

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

7=3x-63

add 63 to both sides

70=3x

divide by 3

x=23.33

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x - 3) = (x - 1) + 7

Step 2: Solve for x

Answer:

Step-by-step explanation:

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

Answer:

72 oz.

Step-by-step explanation:

12 oz times 6 duhhhh

Answer:

1

the equation (x-4)^2-17=8 has two solutions because it is in a quadratic form.

(x-4)^2-17=8

x²-8x+16-17-8=0

x²-8x-9=0

Doing middle term factorization

x²-9x+x-9=0

x(x-9)+1(x-9)=0

(x-9)(x+1)=0

either

x=9

x=9or

x=9orx=-1

2.

x^2+4x+3=0:

Doing middle term factorization

x²+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

either

x=-3

or

x=-1

Josh’s solution is incorrect because he missed x=-3.

3.

x^2-6x+7=0

By using quadratic equation formula:

Comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=7

Now

we have

x=[tex] \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

x=[tex] \frac{ 6± \sqrt{ {-6}^{2} - 4*1*7} }{2} [/tex]

x=[tex] \frac{ 6±2\sqrt{ 2}}{2} [/tex]

x=[tex] { 3±\sqrt{ 2}} [/tex]

Taking positive

x=[tex] { 3+\sqrt{ 2}} [/tex]

taking negative

x=[tex] { 3-\sqrt{ 2}} [/tex]

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

Answer:

Step-by-step explanation:

Volume of the cone:

Substitute values and solve for r:

Answer:

The answer should be 18.

Answer:

0.15 Gallons

Step-by-step explanation:

9/10 = 0.9 (Conversion)

0.9 ÷ 6 = 0.15

Answer:

256 fluid onces

Step-by-step explanation:

Hope this helps!!!

Answer: 1810 yards

Step-by-step explanation:

Given

Thomas ran 2 miles and Maria runs 50 yards more than half as far as Thomas

We know, 1 mile is equal to 1760 yards

So, Thomas run [tex]2\times 1760=3520\ \text{yards}[/tex]

half of its distance is 1760 yards

So, the distance covered by Maria is 1760+50=1810 yards

Answer:

168

Step-by-step explanation:

Answer:

c=38

Step-by-step explanation:

Substitute 6 for r and -2 for t in the formula given

c=rt^(2)-3t+8

c=6*(-2)^2-3*(-2)+8

c=6*4-3*-2+8

c=24+6+8

Answer:

Right triangle

Step-by-step explanation:

becuase it is

Answer:

right triangle

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation:

8 + 5 = 13 or 10

(Just substitute values)

Have a great day.

Answer:

ABC = 50 degree.

Step-by-step explanation:

You add the bisect angles together to get the whole angle (ABC)

(8x - 7)+(6x+1)

(8(4)-7)+(6(4)+1)

(32-7)+(24+1)

25+25 = 50

Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

Answer:

Average velocity = 1

Step-by-step explanation:

f(3) = 3² - 3(3) + 4 = 4

f(1) = 1² - 3(1) + 4 = 2

[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]

Answer:

Step-by-step explanation:

15/3 = x/4

if you multiply you get 3x= 4*15.

4 times 15 is 60, then divide by 3 to get 20

Arun can walk 20 km in 4 hours.

Answer:

20 km.

Step-by-step explanation:

First, divide 15 by 3 to find out how many kilometers Arun can walk in a single hour.

15/3=5

To find out how far he can walk in 4 hours, multiply 4 by the number of kilometers he can walk in an hour, which is 5.

4x5=20

Therefore, Arun can walk 20 km in 4 hours.

Hope this helps you out and have a great day (^人^)

Maybe fast or quick?

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = [tex]\frac{1}{2}(AD+BC)[/tex]

By using expression for the length of a segment between two points,

Length of a segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between two points A(-5, -6) and D(3, 2),

AD = [tex]\sqrt{(3+5)^2+(2+6)^2}[/tex]

AD = [tex]\sqrt{64+64}[/tex]

AD = [tex]\sqrt{128}[/tex]

AD = [tex]8\sqrt{2}[/tex]

Distance between B(-6, -2) and C(-4, 0)

BC = [tex]\sqrt{(-6+4)^2+(-2-0)^2}[/tex]

BC = [tex]\sqrt{8}[/tex]

BC = [tex]2\sqrt{2}[/tex]

Therefore, m(YZ) = [tex]\frac{1}{2}(8\sqrt{2}+2\sqrt{2})[/tex]

                             = [tex]\frac{1}{2} (10\sqrt{2})[/tex]

                             = [tex]5\sqrt{2}[/tex]

Option C will be the answer.

The length of the midsegment YZ is [tex]5\sqrt 2[/tex]

The coordinates are given as:

A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Start by calculating distance AD and CB using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AD = \sqrt{(3 +5)^2 + (2 +6)^2} = \sqrt{128}[/tex]

[tex]CB = \sqrt{(-6 +4)^2 + (-2 -0)^2} = \sqrt{8}[/tex]

The length of the midsegment is then calculated as:

[tex]YZ = \frac 12 * (AD + CB)[/tex]

This gives

[tex]YZ = \frac 12 * (\sqrt{128} + \sqrt 8)[/tex]

Simplify

[tex]YZ = \frac 12 * (8\sqrt{2} + 2\sqrt 2)[/tex]

[tex]YZ = \frac 12 * (10\sqrt 2)[/tex]

Simplify

[tex]YZ = 5\sqrt 2[/tex]

Hence, the length of the midsegment YZ is [tex]5\sqrt 2[/tex]

Read more about midsegments at:

https://brainly.com/question/7423948

Answer:

14

Step-by-step explanation:

49÷7=7

7×2=14

have a good day!

Answer:

D. 64 should be the answer

Step-by-step explanation:

length x width x height

4 x 4 x 4

4^2

64

Answer:

Step-by-step explanation:

Linear Function