There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?

Answers

Answer 1

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44


Related Questions

32pts and BRAINLIEST FOR BST ANSWER!!
Use sigma notation to represent the sum of the first seven terms of the following sequence: −4, −6, −8, …

the summation from n equals one to 7 of quantity negative 2 minus 2 times n
the summation from n equals one to 7 of quantity negative 4 plus 2 times n
the summation from n equals one to 7 of quantity negative 2 minus 4 times n
the summation from n equals one to 7 of quantity negative 2 plus 2 times n

Answers

Answer:

B

Step-by-step explanation:

B cause

Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a=  First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Sn =

Sn =

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answers

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

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What is the area of the triangle shown below?

Answers

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.

Answers

Answer:

1. 135 2. 16.875

Step-by-step explanation:

1. 5 x 4.5 x 6 = 135

2. 2.5 x 2.25 x 3 = 16.875

Which fraction is greater than 3/5

4/6

6/12

3/8

4/10

Answers

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

"Five less than three times a number is greater than two-thirds of that number."
Which inequality matches the given statement?
A. 3n-5>2/3n
B. 5-3n>2/3n
C. 3n-5<2/3n
D. 5-3n<2/3n

Answers

Answer:

A.

Step-by-step explanation:

The inequality matches the given statement  3n-5>2/3n.

What is the inequality?

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is b equal to

"Five less than three times a number is greater than two-thirds of that number.

3n-5>2/3n

Hence, the inequality matches the given statement  3n-5>2/3n.

Learn more about inequality here;

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Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?

Answers

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Evaluate the expression when x=2.3, y= -1.6, and z= -4.

x-y+z​

Answers

Answer:

-.01

Step-by-step explanation:

X - Y + Z

2.3 - (-1.6) + (-4)

2.3 + 1.6 - 4

-0.1

I hope this is helpful!!!!!!! :)

Answer:

-0.1

Hope this helped :)

5 + w + 21
What is the answer helped me please

Answers

Answer:

w+5=7

Step-by-step explanation:

Which of the following describe a simple event?

Answers

Answer: B

Step-by-step explanation:

The table shows the elevation in feet at the peaks of several mountains.


Mountain Elevation (feet)
Mt. Aspen 20,199.5
Snow Crest 28,882.31
Mt. Bethune 22,934.71
Parker Peak 14,987.42


Snow Crest is 11,873.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson.


The equation to find the elevation of Mt. Wilson is - x =
The elevation of Mt. Wilson is feet.

Answers

Answer:

X = Y - 11873.21

X = 17009.1 feet

Step-by-step explanation:

Let x represent the elevation of Mt. Wilson. And

Y = Mt snow Crest.

Since Snow Crest is 11,873.21 feet higher than Mt. Wilson, the equation will be

X = Y - 11873.21

Where Y = 28,882.31

Substitute Y into the equation

X = 28882.31 - 11873.21

X = 17009.1 feet.

14 subtracted from the difference of x and 3

Answers

Answer:

3 is the answer. lol lol

Answer:

3

Step-by-step explanation:

The difference of x and 3

Difference means subtract, so we subtract 3 from x

x-3

14 subtracted from

14 is subtracted from the difference of x and 3, so

(x-3)-14

Therefore, the correct choice is 3: (x-3)-14

find the length of the unknown side round your answer to the nearest 10th

Answers

Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Find the distance between the pair of points
(7, -2) and (11,-2)
(-5,2) and (-5,4)
(8,-10) and (5, -10)

Pls answer fast I REALLY NEED THE ANSWERS :)

Answers

4 units, 2 units, and 3 units (I believe)
4 units, 2 units, and 3 units :)

For the most part the Supreme Court has ______ jurisdiction. The authority to see if a mistake was made in a case. ok so i accidentally put math great goin me

Answers

Answer:

Original

Step-by-step explanation:

f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n - 1)
f(3) =?

Answers

Answer:

3

Step-by-step explanation:

To find f(3) we just need to plug in 3 wherever we see an n

f(3) = f(3 - 2) + f(3 - 1)

f(3) = f(1) + f(2)

Since f(1) and f(2) are given, we can plug in the respective values

f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3

Answer:

3

Step-by-step explanation:

I just did it on Khan

help me plz ill mark u brailiest

Answers

Answer:

The product of 21 and 18

Step-by-step explanation:

When you multiply the word is product

The product of 21 and 18

Answer:

the answer is H

Step-by-step explanation:

I need help please. I WILL GIVE BRAINLY!!!!

Answers

Answer:

1.

The amount of time could be related to the battery charge by equation:

y = ax + b

a = 16% per 30 min = 32% per hour

b = 10%

=> y = 32x + 10

2.

In term of charging time, the rate of charging is 32% per hour

Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.

Answers

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Find the reference angle of 14 pie over 11

Answers

Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

How many triangles exist with the given angle measures?

Answers

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)

Answers

Answer:

B: (2,2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

this table shows values represented by an exponential function. What is the average rate of change for the function for the interval from x=2 to x=4?

Answers

Answer:

B

Step-by-step explanation:

2= 9

4= 64

64-9=55

If you subtract that

You will get 55

Answer:

the correct answer is 27.5

Step-by-step explanation:

Point A is at (-3,-5) and point B is at (2,5).
What is the midpoint of line segment AB?

Answers

Answer:

Step-by-step explanation:

The answer would be -1, 0

The first numbers represent the A axis, so -3-2 = -1

The 2nd number represents the B axis, so 5-5=0

The midpoint of the line segment is (-1/2, 0).

What is midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

A = (-3, -5) = (a, b)

B = (2, 5) = (c, d)

The midpoint of AB is (x, y).

x = (a + c)/2

x = (-3 + 2)/2

x = -1/2

y = (b + d) / 2

y = (-5 + 5)/2

y = 0/2

y = 0

(x, y) = (-1/2, 0)

Thus,

The midpoint is (-1/2, 0).

Learn more about midpoints of a line segments here:

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if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14​

Answers

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

which store will she purchase the rug from

Answers

store a: 10% of 45 is 4.5 45-4.5=40.5- can’t get this one with or without tax bc she only has $40 to spend
store b: 45-10=35 35+6% tax= 37.10- can afford with tax and would have $2.93 left over
the correct answer would be c

Select each point on the line y = -2x + 1. Select ALL the correct points

A (3, 18)
B (3, -5)
C (-3, -12)
D (0, 1)
E (-1, 8)
F (-2, 5)

Answers

Answer:

D, B, and F.

Step-by-step explanation:

Points D, B, and F lie on the line when graphed.

What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?

Answers

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

i have alot of work to dk sk if anyone could help pleas​

Answers

All in the attachment :)

and don't complain about my drawing skills ;)

what is the answer to 7+6y >19 ?

Answers

Answer:

[tex]y>2[/tex]

[tex]\{y\in \mathbb{R}|y>2\}[/tex]

The interval notation is: [tex](2, \infty)[/tex]

Step-by-step explanation:

[tex]7+6y>19[/tex]

[tex]6y>12[/tex]

[tex]y>2[/tex]

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