In a bag there are 5 yellow marbles, 7 green marbles, 2 white marbles, and 6 blue marbles. IfT take 3 marbles without replacing them what is the probability of getting 2 white and a blue marble?

Answers

Answer 1

Answer:

1/190

Step-by-step explanation:

To calculate the probability of drawing 2 white marbles and 1 blue marble without replacement, we need to consider the total number of ways to choose 3 marbles out of the total number of marbles in the bag.

The total number of marbles in the bag is 5 + 7 + 2 + 6 = 20.

First, let's calculate the number of ways to choose 2 white marbles out of the 2 available:

Number of ways to choose 2 white marbles = (2 choose 2) = 1

Next, we need to calculate the number of ways to choose 1 blue marble out of the 6 available:

Number of ways to choose 1 blue marble = (6 choose 1) = 6

Now, we can calculate the total number of ways to choose 3 marbles out of the 20 marbles in the bag:

Total number of ways to choose 3 marbles = (20 choose 3) = 1140

Finally, we can calculate the probability by dividing the number of favorable outcomes (2 white marbles and 1 blue marble) by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (1 * 6) / 1140

= 6 / 1140

= 1 / 190


Related Questions

What is a closed line of credit? a. A line of credit with a set maximum credit limit. b. A line of credit with no interest rate. c. A line of credit with a fixed total amount d. A line of credit with a legally mandated repayment schedule​

Answers

A closed line of credit seems to be c, A line of credit with a fixed total amount.

\(If\;it\;helped\;please\;mark\;me\;as\;brainliest!\)

Answer:

c. A line of credit with a fixed total amount

Step-by-step explanation:

More info on closed line of creditA credit limit is established, funds can be used for a variety of purposes, interest is charged normally, and payments may be made at any time. The pool of available credit does not replenish after payments are made. Once you pay off the line of credit in full, the account is closed and cannot be used again.

What is an equation of the line that passes through the point (-4, -6) and is
perpendicular to the line 2x - y = 6?

Answers

Answer:

An equation of the line that passes through the point (-4, -6) and is perpendicular to the line 2x - y = 6 is y = -2x + 10.

Assume the following statements are true:

If an animal is a cat, then it has a tail.

Max is a cat.

What is a valid conclusion?

a. Not all cats have tails.

b. Max has a tail.

c. The animal is not a cat.

d. There is no valid conclusion.

Answers

Answer: max has a tail

Step-by-step explanation:

if all cats have tails and max is a cat then he has a tail

(a) how many paths are there from the point (0, 0) to the point (110, 111) in the plane such that each step either consists of going one unit up or one unit to the right? (b) how many paths are there from (0,0) to (210, 211), where each step consists of going one unit up or one unit to the right, and the path has to go through (110, 111)?

Answers

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!! 5. There are 20 marbles in a bag. Each marble has a different design or color. How many ways can you draw 8 marbles from the jar? ANSWERRRRRRR

Answers

Answer:

20÷ 8 = 2.5

you have to divide 20 by 8 hope it's right

Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...

Answers

Answer:

3/2

Step-by-step explanation:

\(2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}\)

Two numbers have a difference of -72 and a product of -720? What is their sum?

Answers

The answer to the question "difference of -72 and a product of -720?" is -9.

What is the sum of two numbers with a difference of -72 and a product of -720?

To find the sum of the two numbers, we can set up the following equations based on the given information:

Let the two numbers be x and y, where x > y.

x - y = -72 (since the difference between the numbers is -72)

xy = -720 (since the product of the numbers is -720)

We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:

x(x + 72) = -720

Expanding the left-hand side, we get:

x^2 + 72x = -720

Rearranging the equation, we get:

x^2 + 72x + 720 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 1, b = 72, and c = 720. Plugging in these values, we get:

x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))

Simplifying further, we get:

x = (-72 ± √(5184 - 2880)) / 2

x = (-72 ± √2304) / 2

x = (-72 ± 48) / 2

Now we have two possible values for x:

x1 = (-72 + 48) / 2 = -12

x2 = (-72 - 48) / 2 = -60

Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.

Thus, the sum of the two numbers is -9, which is obtained by adding x and y:

-12 + (-48) = -9.

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the sampling distributions used for both matched/related/paired samples and independent samples statistical tests have what value at the center of the distribution for hypothesis testing?

Answers

The sampling distributions are used for statistical tets.

What is sampling distributions?A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a particular statistic based on a random sample. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.The use of sampling distributions in statistics is crucial because they significantly simplify the process of drawing conclusions from statistical data. They specifically enable analytical considerations to be based on a statistic's probability distribution rather than the joint distribution of the data.

Hence,The sampling distributions are used for statistical tets.

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3x + 50 = 5x - 2

Find x

Answers

Answer:

50=2x-2

52=2x

26=x

hope this helps

have a good day :)

Step-by-step explanation:

-5x <2

true false
x=-2 x=-2
x=1 x=1
x=2 x=2
x=-1 x= -1

Answers

The inputs that are solutions for the inequality are:

x = 2

x= 1

For which inputs is the inequality true?

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Q1: Solve the partial differential Equation by finite difference method: 8 Uxx +3Uyy=xy :0≤x≤1:0 ≤ y ≤2 ; h=; h = 1/2; k= u(0,y) = y², u(1,y) = (y-)² u(x, 2) = (x u(x, 2) = (x-1)² u(x,0)=x², IN 2

Answers

To solve the given partial differential equation using the finite difference method, we can approximate the second derivatives with finite difference formulas.

Here's how we can proceed:

Discretize the domain:

Divide the interval [0, 1] into small steps with a spacing of h, and the interval [0, 2] into small steps with a spacing of k. In this case, h = 1/2 and k = 2.

Define the grid:

Create a grid of points (xi, yj) where xi = i * h and yj = j * k for i = 0, 1, ..., 2/h and j = 0, 1, ..., 2/k.

Approximate the derivatives:

Use finite difference formulas to approximate the second derivatives. For the second derivative with respect to x, we can use the central difference formula:

Uxx ≈ (U[i+1][j] - 2U[i][j] + U[i-1][j]) / (h^2)

For the second derivative with respect to y, we can also use the central difference formula:

Uyy ≈ (U[i][j+1] - 2U[i][j] + U[i][j-1]) / (k^2)

Substitute the approximations into the partial differential equation:

Replace Uxx and Uyy in the given equation 8Uxx + 3Uyy = xy with their finite difference approximations.

Solve the resulting system of equations:

Rearrange the equation to isolate U[i][j] on one side and the known values on the other side. Solve the resulting system of equations for each grid point (xi, yj) using appropriate boundary conditions.

Calculate the values of U at each grid point:

Use the solved system of equations to find the values of U at each grid point (xi, yj).

By following these steps, you can obtain the numerical solution to the given partial differential equation using the finite difference method.

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find the base 10 decimal reppresentaion of the binary number 1011000(base 2)

Answers

The binary number 1011000 (base 2) is equivalent to 88 in base 10.

To find the base 10 decimal representation of the binary number 1011000 (base 2), we can use the formula:

\(1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 88\)

Therefore, the binary number 1011000 (base 2) is equivalent to 88 in base 10.

To understand how this conversion works, it is helpful to first understand what these two number systems represent.

Binary is a positional number system that uses two digits: 0 and 1. Each digit represents a different power of 2, with the rightmost digit representing 2^0, the next digit to the left representing 2^1, and so on. Therefore, the binary number 1011000 (base 2) can be interpreted as:

\(1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0\)

To convert this binary number to base 10 (decimal), we simply evaluate this expression:

\(1 * 2^6 = 64\)

\(0 * 2^5 = 0\)

\(1 * 2^4 = 16\)

\(1 * 2^3 = 8\)

\(0 * 2^2 = 0\)

\(0 * 2^1 = 0\)

\(0 * 2^0 = 0\)

Adding these values together, we get:

64 + 0 + 16 + 8 + 0 + 0 + 0 = 88

Therefore, the binary number 1011000 (base 2) is equivalent to 88 in base 10.

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ANSWERR THISSS ASAPPPPP
(21points)

ANSWERR THISSS ASAPPPPP(21points)

Answers

Answer:

the answer is C......

Step-by-step explanation:

!!!!!!!!!!!

The triangle below will be reflected across the line x = 5, then translated to
the left 12 units to form an image. A reflection over which line would result
in the same image?

Answers

Reflecting over the y-axis and then translating to the right 10 units

Step-by-step explanation:

Reflection over the line x=5 gives you the transformation ...

 (x, y) ⇒ (2·5 -x, y) = (-x +10, y)

This is precisely the same transformation you get by reflection over the y-axis:

 (x, y) ⇒ (-x, y)

followed by translation to the right 10 units:

 (-x, y) ⇒ (-x +10, y)

__

Reflection over x=5 is the same as reflection over y and translation right 10.

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Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.

A letter is randomly chosen from the alphabet.

Answer 1:

A. Infinite

B. Finite

Answer 2:

A. Discrete

B. Continuous

Answers

Answer:

Answer 1

Because the alphabet can end,it is not unlimited

8. WHAT IS THE FOLLOWING TIME IN SPANISH?
1:40

Answers

Answer:

Veinte para las dos

Step-by-step explanation:

twenty till 2

hope it helps!

Through (-3,-5), Perpendicular to y = -x-5 in point slope and slope intercept form

Answers

Step-by-step explanation:

I really hope this helps :)

Through (-3,-5), Perpendicular to y = -x-5 in point slope and slope intercept form

What is the answer?
2/x+2 + 1/x+3

Answers

Step-by-step explanation:

2/x+2+1/x+3

2+2+1+3

=8

x+x

=2x

8/2x

Two divided by eight is 4

So the answer is

x=4

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

y=6x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
y=6x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
y=x+6; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.​

Answers

Answer:

y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

What is 36 divided by 1.5 in long division

Answers

Answer: 24

To calculate with long division when the divisor is a decimal, add zeroes in both the dividend and divisor. This means you get 360 ÷ 15.

From here, just do normal calculation and you get 24 as your answer.

sarah is photocopying a letter. the original letter was 5 inches wide and 9 inches long. the new copy is 15 inches wide.how long is the new copy of the picture

Answers

The length of the new letter is 27 inches.

What is proportion?

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given that, Sarah is photocopying a letter. the original letter was 5 inches wide and 9 inches long. the new copy is 15 inches wide, we are asked to find how long is the new copy of the picture,

Since, there is a photocopying, therefore, dimensions of the both the letter will be proportionally equal,

Let the length of the new letter be x,

Therefore, establishing the proportions,

5 / 9 = 15 / x

1 / 9 = 3 / x

x = 27

Hence, the length of the new letter is 27 inches.

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Find the distance between the pair of points. Round to the nearest tenth (ONE decimal place).

(-4, 5) and (4, 0)

Answers

Without rounding it is 9.433981 if you include rounding to the nearest tenths it should be 9.4. Hope this helps:)

Question 11
1 pts
The value of x is 10 more than 5 times the value
of y. The sum of the two numbers is 4. Write
two equations and graph to find the values of x.
and y.

Answers

Answer:

Step-by-step explanation:

x= 5y+10

x+y=4

4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?​

Answers

6, 12 slices will be tiny a pizza has 8 slices in total, and 6 will add to its size

Write the equation of the line in fully simplified slope-intercept form.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = 1/2 x + 6

Step-by-step explanation:

Points move up 1, over 2 and the line intercepts at (0,6)

Answer:

y= 1/2x+6

Step-by-step explanation:

Samuel is remodeling his basement. One part of the planning involves the flooring. He
knows that he would like both carpet and hardwood but isn't sure how much of each he will
use. The most amount of flooring area he can cover is 2000 square feet. The carpet is $4.50
per square foot, and the hardwood is $8.25 per square foot. Both prices include labor costs.
Samuel has budgeted $10,000 for the flooring.
Write a system of inequalities to represent the maximum amount of flooring needed and
the maximum amount of money Samuel wants to spend.

Answers

A system of inequality to represent the maximum amount of flooring needed is c + h ≥ 2000.

A system of inequality to represent the maximum amount of money wants to spend is 4.50c + 8.25h ≥ 10,000.

How to write and solve this inequality?

In order to solve this word problem, we would assign variables to the number of square feet of carpet and the number of square feet of hardwood for the given flooring area, and then translate the word problem into an algebraic inequality as follows:

Let the variable c represent the number of square feet of carpet.Let the variable h represent the number of square feet of hardwood.

For the maximum amount of flooring needed, we have:

c + h ≥ 2000

For the maximum amount of money, we have:

4.50c + 8.25h ≥ 10,000.

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2/3 (x-9) -5 = 1/3x + 3
Step by step explanation please

Answers

Answer:

x = 42

Step-by-step explanation:

2/3(x - 9) - 5 = 1/3x + 3

2/3x - 6 - 5 = 1/3x + 3

2/3x - 11 = 1/3x + 3

1/3x = 14

(3/1)1/3x = 14(3/1)

x = 42

Volumen: V±δV= 25.32 cm 3
±

V=(5.340)(3.448)(1.295)=25.32 cm 3
V=1×w×h

C What is the standard deviation of V ?

Answers

The standard deviation of V is ±0.00 cm3.

The given expression for the volume, V±δV= 25.32 cm3±, represents the volume V with an associated uncertainty δV. To calculate the value of V, we multiply three given dimensions: width (w), height (h), and C, resulting in V=1×w×h​C=25.32 cm3.

To find the standard deviation of V, we need to consider the uncertainty δV. However, in the given question, no specific value or range is provided for δV. As a result, we cannot determine the standard deviation of V accurately. Hence, the standard deviation of V is ±0.00 cm3.

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Question in picture below will mark brainliest.

Thanks :)

Question in picture below will mark brainliest.Thanks :)

Answers

Answer:

Step-by-step explanation:

Question in picture below will mark brainliest.Thanks :)

Rudy and Teresa are members of the Austin Rockets Bike Club.
On Saturday, Teresa led a 26.6 mile ride, and Rudy served as the
"sweep." (A sweep is a rider who rides behind the slowest riders and
is responsible for ensuring that there is help for any
rider who has
bike or physical trouble during the ride.) Teresa's group, which had
18 riders in it, finished the ride with an average of about 16 miles
per
hour. Rudy finished with the three slowest riders, and they
averaged about 12.5 miles
per hour. Both groups started the ride at
9:30 a.m. At what time did each of the groups finish? Give times in
hours:minutes:seconds. Example: 9:42:18 a.m.

Answers

The time that Rudy finished the race was 11:10: 10 am.

The time that Teresa's group finished the race was 10:50:08 am.

What time did the groups finish the race?

The formula that can be used to determine the time is Time = distance / average speed

Teresa's group = 26.6 / 16 = 1.6625 = 1 hour 40 minutes 10 seconds = 11:10: 10 am

Rudy's group = 16.6 / 12.5 = 1.328 = 1 hour 20 minutes 8 seconds = 10:50:08 am

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