In the game of Keno, if six spots are marked, the player wins if four or more of their spots are selected. Find the probability that four winning spots will be selected. (Round your answer to eight decimal places)


Outcome Probability
6 winning spots ________
5 winning spots ________
4 winning spots ________
3 winning spots _________

Answers

Answer 1

Answer:

(A) 1.00000000

(B) 0.83333333

(C) 0.66666667

(D) 0.50000000

Step-by-step explanation:

RULE OF THE GAME:

If 6 spots are marked, a player wins if 4 or more of their spots are among the 6.

QUESTION:

Find the probabilities of having the following numbers of winning spots out of 6.

(A) 6 winning spots

6/6 = 1   In 8 decimal places, 1.00000000

(B) 5 winning spots

5/6 = 0.83333333

(C) 4 winning spots

4/6 = 0.66666667

(D) 3 winning spots

3/6 = 1/2 = 0.50000000

Answer 2

The outcome probability will be:

(a) 1.00000000

(b) 0.83333333

(c) 0.66666667

(d) 0.50000000

Probability

According to the question,

Total spots = 6

Selected spots = 4 or more

(a) Here are 6 winning spots, then

= [tex]\frac{6}{6}[/tex]

= 1 or,

1.00000000

(b) Here are 5 winning spots, then

= [tex]\frac{5}{6}[/tex] or,

= 0.83333333

(c) Here are 4 winning spots, then

= [tex]\frac{4}{6}[/tex] or,

= 0.66666667

(d) Here are 3 winning spots, then

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex] or,

= 0.50000000

Thus the response above is correct.

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The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torchThe pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch

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Answer:

: The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torch The pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch

Step-by-step explanation:

Find the Value of X.

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Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation?

The outer core has a higher temperature and more pressure than the inner core
The outer core has a lower temperature and lower pressure than the inner core
The inner core has a lower temperature and higher pressure than the outer core
The inner core has a higher temperature and lower pressure than the outer core

Answers

Answer:

Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation? The outer core has a higher temperature and more pressure than the inner core.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Hypotenuse a =?; b =40; c=50

Answers

a² = b² + c²

a² = 40² + 50²

a² = 1600 + 2500

a² = 4100

a = √4100

a = 64.03

PLEASSSSEEE SOMEONEE HELPPP ILL DO ANYTHING

Answers

Answer:

[tex]m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 1)

Point (4, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{4-0}[/tex]Subtract:                       [tex]m=\frac{1}{4}[/tex]

A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is
selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable X represent the amount won from the selection of the chip, and let the random variable W
represent the total amount won, where W= X - 15. What is the mean of W?
$10.50
B
$4.50
-$4.50
D
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E
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Answers

Answer:

C. -$4.50

Step-by-step explanation:

To find the mean of W we must first find the mean of X. So, 10/20*5+4/20*10+6/20*20=10.5

Then because mean is impacted by transformations, the mean of W=the mean of X-15=10.5-15=-$4.50

Here we need to find the expected value of the given probabilistic game.

The correct option is B: -$4.50

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

For an event with outcomes {x₁, x₂, ...}, each one with probability {p₁, p₂, ...}, the expected value is defined as:

[tex]EV = x_1*p_1 + x_2*p_2 + ...[/tex]

Here the outcomes are:

x₁ = winning $5.

This happens if a red chip is selected, and there are 10 red chips in a bag of 20 chips, so the probability is:

p₁ = 10/20 = 1/2

x₂ = winning $10

This happens if a blue chip is selected, and there are 4 blue chips out of 20 chips, so the probability is:

p₂ = 4/20 = 1/5

x₃ = winning $20

This happens if a yellow chip is selected, and there are 6 of these in a total of 20, then the probability is:

p₃ = 6/20 = 3/10

Now we can compute the expected value:

[tex]EV = \$ 5*(1/2) + \$ 10*(1/5) + \$ 20*(3/10) = \$ 10.50[/tex]

Now if you also take in mind that you need to pay $15.00 to play, we will see that the mean of W, the amount that you won, is:

W = $10.50 - $15.00 = -$4.50

Which means that in average, you lose $4.50

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Answer:

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Answer: Yeah...Life Goes On, life goes on

Step-by-step explanation:

Please answer this question (the photo attached)! I will give brainliest to the correct answer!

Answers

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Answers

Answer:

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Step-by-step explanation:

First plug in -10 for x, which would look like this: 734 + (-215 * (-10) ) =

Then, first you calculate everything in the parenthesis, which is (-215) * (-10)

and the equation would look like this after you multiply: 734 + 2150 =

If you noticed the number turned out positive after we multiplied, that is because - number times a - number would always be positive, just like if you divide - number by a - number your answer would be positive.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

k=140

Step-by-step explanation:

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180-40=140

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

x = -1

Step-by-step explanation:

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Answer:

X=-1

Step-by-step explanation:

3x-15=-18

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Answers

Answer:

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Step 2: Now that we have b, we can determine the equation of the line.

[tex]y = \frac{1}{6}x -1[/tex]

I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.

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Answer:

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Cassie bought a new sweater

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Answer:

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Step-by-step explanation:

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Answer:

663 I thank

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

The answer is B.) The second graph

Step-by-step explanation:

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Answers

Answer:

-15

Step-by-step explanation:

-5 x -3 x -1

15(you cancell out the negitive)

15 x -1

-15

Step-by-step explanation:

=bcx

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Answers

Answer:

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B.) Move point C two units to the right.
C.) Move point B one and one-half units to the left.
D.) Move point A one unit to the right.

Answers

Answer:

C

Step-by-step explanation:

By moving point B 1.5 units to the right, you create an icoselles triangle, which has just one line of symmetry

The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to
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A. 36Pi
B. 108pi
C. 360pi
D. None of these

Answers

Answer:

108π cm^3/min

Step-by-step explanation:

At a time of t min, let the height be h cm

The volume of a cylinder;

V = π r^2 h

  = 36π h

differentiating both sides with respect to t;

dV/dt = 36π dh/dt

but dh/dt = 3 cm/min

dV/dt = 36π(3) = 108π cm^3/min


A man buys furniture that has a list price of $255. He is allowed a discount of 12%
but must pay a sales tax of 3% on the cost. Which of the following is the amount he
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(A) $217.67
(B) $231.13 (C) $224.40 (D) $232.50 (E)
none of these.

Answers

Answer:

Option B. $231.13 is the correct answer.

Step-by-step explanation:

Given that

Listed price of furniture = P = $255

Discount = d = 12%

Sales tax = s = 3%

First of all, we have to find the discounted price by calculating the discount first

So,

[tex]Discount = 12\%\ of\ P\\= 0.12*255\\= 30.6[/tex]

Discounted Price:

[tex]= Listed\ Price - Discount\\= 255 - 30.6\\= 224.4[/tex]

The sales tax will be calculated on the discounted price

So,

[tex]Sales\ tax = 3\%\ of\ Discounted\ price\\= 0.03 * 224.4\\= 6.732[/tex]

Now,

[tex]Final\ price\ of\ furniture = Discounted\ price + Sales\ tax\\= 224.4 + 6.732\\=231.132[/tex]

He will actually pay $231.132 for the furniture.

Hence,

Option B. $231.13 is the correct answer.

2.
A line passes through the points (5, 4)
and (-5,0).
(a) Write an equation of the line in
slope-intercept form.

Answers

Slope (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in any point
4 = 2/5(5) + b
4 = 2 + b, b= 2
Final equation: y = 2/5x + 2
Here’s the answer w steps :)

1/5 (5x +12) =18 solve for x

Answers

Answer:

I think its 1

Step-by-step explanation:

If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.

A= _______ cm2

Answers

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

Solve the equation. 10p -5= - 6+2p​

Answers

Answer:

STEPS :

10p -5= - 6+2p

Arrange similar algebra given there ... which is 'p' here , Now ;

10p -5= - 6+2p

or, 10p -2p = -6+5

( NOTE : Moving to opposite side , + becomes - and - becomes + )

10p -2p = -6+5

8p = - 1

p = - 1 / 8

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

You balance the equation by getting rid of the variable on one side and then you get rid of the constant on the other then solve from there

10-5=-6+2p

10p-5-2p=-6+2p-2p

8p-5+5-6+5

8p=-1

[tex]\frac{8p}{8}=\frac{-1}{8}[/tex]

p=[tex]\frac{-1}{8}[/tex]

To solve the equation we put -1/8 in the p spot:

10x-1/8-5=-6+2x-1/8

-1.25-5=-6+-0.25

-6.25=-6.25

The equation = -6.25

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