There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction

Answers

Answer 1

The probability of selecting two orange marbles with replacement is 36/169.

Data;

Orange= 6Red = 2Green = 4

Probability with replacement

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

[tex]P = \frac{6}{13}[/tex]

After drawn and replaced, the probability of selecting another marble is

[tex]P = \frac{6}{13}[/tex]

And the probability of selecting two orange marbles with replacement is

[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]

The probability of selecting two orange marbles with replacement is 36/169.

Learn more on probability here;

https://brainly.com/question/24756209


Related Questions

Which point on the number line is at 58/100

Answers

Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

Find the diameter of a circle with area 28.3 yd2

Answers

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.



cm³
+ Brainliest

Answers

A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.

Given the following data:

Base area = 23 [tex]cm^2[/tex]

Height = 6 centimeters.

The volume of a rectangular prism.

Mathematically, the volume of a rectangular prism is given by this formula:

[tex]V = B \times H[/tex]

Where:

H is the height.B is the base area.

Substituting the given parameters into the formula, we have;

[tex]V = 23 \times 6[/tex]

V = 138 cubic centimeters.

Read more on rectangular prism here: brainly.com/question/3867601

What is the value of x? (angle bisector problem)

Answers

Answer:

47

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

VT/KT = VY/KY

Substitute the lengths and solve for x:

77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47

Use angle bisector theorem

77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47

(x^2-2x)(2x+3) is equivalent to expression

Answers

Answer:

[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]

Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?

Answers

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?

Answers

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

How to explain the square?

From the diagram, each side is called the side length. Therefore,

Side length of square 4 = a + bSide length of square 5 = a + b

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

Learn more about square on:

https://brainly.com/question/25092270

what is 12x + 11y - 4x -5y

Answers

Answer:

8x+6y

Step-by-step explanation:

Combine like terms:

12x-4x=8x

+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])

Answer:

8x + 6y

Step-by-step explanation:

1) Rearrange terms and combine like terms:

12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y

2.Simplify (aka add/subtract like terms)

12x - 4x +11y - 5y

- 12x - 4x = 8x

- 11y - 5y = 6y

= 8x + 6y

Hence, 8x + 6y is your answer :)

If B (x,y)=(x-3,y+5), what is B(4,7)?

Can anyone help me please

Answers

Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided

Answers

Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

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

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the depth is given by:

D(x) = -x² + 12x + 4.

Which means that the coefficients are a = -1, b = 12, c = 4, hence:

[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]

The scuba diver reaches maximum depth after 6 seconds.

More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967

What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Answers

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

Find the length of the third side. If necessary, round to the nearest tenth. 12 18

Answers

Answer (assuming that the shape is a right triangle):

If looking for the hypotenuse: 21.63

If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42

Step-by-step explanation:

Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.

[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]

Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.

Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).

So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.

[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]

These are our possible answers.

You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answers

After 23 years $125.32 will be matured to $46,683.28.

What is the formula for recurring investment?

The formula for Recurring maturity is given by:

[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

To get more about recurring deposits visit:

https://brainly.com/question/25528036

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2

Answers

Answer:

[tex]10.67\pi[/tex] OR [tex]33.49[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]

Radius = 2

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *\pi*2^3[/tex]

[tex]\frac{4}{3} *\pi*8[/tex]

[tex]10.67\pi[/tex]

OR

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *3.14*2^3[/tex]

[tex]\frac{4}{3} *3.14*8[/tex]

[tex]\frac{4}{3} *25.12[/tex]

[tex]33.49[/tex]

Hope this helps!

Find the average rate of change, in people per year, for the population between the years 1900 and 1920.​

Answers

Step-by-step explanation:

the average change rate of a function f(x) in an interval [x1 .. x2] is

(f(x2) - f(x1)) / (x2 - x1)

in our case that is

(7000 - 2500) / (20 - 0) = 4500 / 20 = 225

the population changed in average by 225 people per year from 1900 to 1920.

Im really stuck please help guys?

Answers

Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps!

If not I am sorry.

If RV=w and SU=w–30, what is the value of w?

Answers

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV , then

SU = [tex]\frac{1}{2}[/tex] RV , so

w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!

Answers

Answer:

4

Step-by-step explanation:

4th one is the answer because 5 is an outlier in the set of data

Answer:

Option 4

Step-by-step explanation:

An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 range

Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.

Answers

A number line is a representation of a graded straight line. The number √128  will lie between 11.3 and 11.4.

What is a number line?

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.

In order to know the location of the √128, we need to write the number  √128 in decimal form, therefore, the value of √128 can be written as,

[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]

Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.

Hence, the number √128  will lie between 11.3 and 11.4.

Learn more about Number Line:

https://brainly.com/question/557284

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

1 1/2 x 4 1/2

2x1=2 2+1=3

3/2

2x4=8 8+1=9

9/2

3/2 x 9/2=

3x9=45

2x2=4

45/4

help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.

Answers

Answer:

  6.03 years

Step-by-step explanation:

The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...

  r(x) = 60000(0.75^x)

The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...

  h(x) = 20000(0.90^x)

__

We want to find x such that h(x) > r(x).

  20000(0.90^x) > 60000(0.75^x)

  0.90^x > 3(0.75^x) . . . . . . . divide by 20000

  (0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x

  x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)

  x > 6.025685

It will take about 6.03 years for the Honda to be worth more.

y+2x=2 find the slope of every line perpendicular to the graph of the equation

Answers

Answer:

[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer it and you get points

Answers

Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

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

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

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

I hope this helps!

-No one

Step-by-step explanation:

89 131 157 this is the answer

Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference

Answers

The circumference of a circle is the same as the perimeter of the circle.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

Find out more on circle at: https://brainly.com/question/24375372

One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls

Answers

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

Solve and Answer correctly the question​

Answers

Distance=250mSpeed=2m/s

Time:-

Distance/Speed250/2125s2min 5s

Time started=6AM

time to reach:-

6+0:02:056:02:05 AM

A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.

The other parameters are [tex]n = 50, \pi = 0.67[/tex].

Then, the bounds of the interval are given as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]

The 83% confidence interval is (0.5789, 0.7611).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

CI = (57.89%, 76.14%)

Step-by-step explanation:

First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.

How much, in total, did Noel spend to cash her three most recent paychecks?

Answers

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

What is a paycheck?

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

How to calculate the amount spent.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: https://brainly.com/question/26174938

Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.

Answers

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.

Answers

The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

What is a scale factor?

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

To get more about dilation visit:

https://brainly.com/question/10253650

Other Questions
Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways. I need help please help me What is the measure of < L If the circle has a diameter of 6 feet about how long is the chalk outline The belief that the chinese king's right to rule came from the gods what do you like or dislike about alice in wonderland 1 Identify a theme, or insight about life, conveyed in The Necklace. Then, explain how the theme is shaped by specific details over the course of the story. Fancy Nails' budgeted revenue is $20 per manicure. The planning budget for June was based on 2,400 manicures. During June, the actual revenue was $49,750 for 2,500 manicures. The revenue variance for June is ______. Kyle goes to the movies with his friends. Each person buys a ticket and two equally priced snacks at the snack bar. Let ticket price be represented by t and the price of the snacks be represented by s. Kyle says the total cost can be represented by the expression 5(t + 2s). Which explanation represents Kyles thinking about how to find the total price?A. Add the price for each item bought by each person. B .Add the total cost of the tickets with the total cost of the snacks for all the people that went to the movie. C .Multiply the ticket total by the snack total. D .Multiply the total spent on tickets plus snacks by the number of people who went to the movie. The radius of a circle is 2 inches. What is the length of a 180 I kinda need help : / Which lists three units of an organ system in order from the simplest to the most complex? (25 POINTS!!!!) HELP A particular lightbulb is designed to consume 40 W when operating on a car's 12-V DC electric power. If you supply that bulb with 12-V AC power from a transformer, how much power will it consume As Egypt came into contact with other societies what did it do? How to find the area of composite figure steps PLEASE HELP ITS TIMEDYour teacher describes a population of fish that live in a coral reef. Some fish are dark orange (the same color as the coral); other fish are nearly white. Human activity has led to the bleaching of the coral reefs, making them very pale in color. Over time, the population of fish will be affected. Which graph represents the type of selection that you expect to occur?A graph has trait value on the horizontal axis and population of individuals on the vertical axis. The original population and population after selection have similar curves, but the original population peaks before the population after selection.A graph has trait value on the horizontal axis and population of individuals on the vertical axis. The population after selection increases, decreases, increases, and then decreases again. The original population increases at the point that the original population drops.A graph has trait value on the horizontal axis and population of individuals on the vertical axis. The original population peaks at the same time as the population after selection but the population after selection peaks higher and at a more rapid speed.A graph has trait value on the horizontal axis and proportion of individuals on the vertical axis. The original population and population after selection have similar curves but the original population is slightly higher at all points. One day, the weather report shows that boston is experiencing a temperature of -27 degrees, while london is experiencing a temperature of 37 degrees. which city is colder? The table below shows part of the operating budget of a small dairy farm for last year. The only expense not listed in the table is maintenance. Food = 1/3 housing = 1/3 medical care = 1/4 .This year,the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical care the same.Again,the remaining portion of the budget will be for maintenance expenses.What is the difference between the fraction of the budget for maintenance this year and last year? Find the radius when the area is 452.16 in^2