A bag contains 10 w h i t e marbles, 5 g r e e n marbles, 6 y e l l o w marbles. If two different marbles are drawn from the bag , what is the probability of drawing a w h i t e marble then a y e l l o w marble?

Answers

Answer 1
Answer:

Answer:

1/7

Step-by-step explanation:

If a bag contains 10 white marbles, 5 green marbles, 6 yellow marbles and two marbles are drawn at random, the probability of picking a white marble and then a yellow marble means a white marble was picked first and then followed by yellow marble.

Note that the white marble that was picked first was not replaced. This is a probability question without replacement.

Probability of an event = possible outcome of event/Total outcome of event

Total outcome = total number of marbles = 10+5+6 = 21marbles

If a white marble is selected first, the probability of selecting a white marble will be 10/21.

Since the white ball wasn't replaced, the new total number of marbles will become 21-1 = 20marbles

If yellow marble was then selected out of this 20 marbles remaining, the probability of selecting the yellow marble will be 6/20 {since there are 6yellow marbles}

The probability of drawing a white marble and then a yellow marble will then give us;

10/21×6/20

= 60/420

= 6/42

= 1/7(in its simplified form)


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WILL GIVE BRAINLYEST AND 30 POINTS Which of the followeing can be qritten as a fraction of integers? CHECK ALL THAT APPLY 25, square root of 14, -1.25, square root 16, pi, 0.6

Please help, the question says what statement best describes the placement of the lines Carson Drew​

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Answer:

Only line A is a well-placed line of best fit.

Step-by-step explanation:

I did this on Plato and got it correct.

Which of the following is a polyhedron? Check all that apply.A. Prism
B. Pyramid
C. Cone
D. Polygon

Answers

A polyhedron is three dimensional solid that only has flat faces. It contains vertices and straight edges. From the choices, the solids that would be considered as polyhedron are prism and pyramid. A cone cannot be considered as such since it containsa round surface. A polygon is a two dimensional shape thus it does not satisfy the condition of a polyhedron.

The Prism and Pyramid is a typical example of polyhedron. That is optionA and B.

The polyhedron

A polyhedron is any solid that has a three dimensional shape with all its sides flat. It is made up of different polygons that join together.

These polyhedron are made up of three parts:

  • The face: They are the flat surfaces

  • The edge: The region where two flat surfaces meet

  • The vertex: The point of intersection of the edges of the polyhedron.

Examples of polyhedron are the Prism and Pyramid. The prisms have flat faces and is made up of rectangles while the pyramids is made up of triangles and different polygons.

Therefore, the Prism and Pyramid is a typical example of polyhedron.

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4.1 Unit RatesFind each unit rate. Round to the nearest hundredth, if nece
1. $140 for 18 ft?

Answers

Answer: 17.5

Step-by-step explanation:

Suppose 8 quarts of a solution that is 45% anti-freeze is mixed with 12 quarts of a solution that is 33% anti-freeze. How many quarts of antifreeze are in the resulting measures? What percentage of the resulting mixture is anti-freeze?

Answers

Answer:

7.56 quarts of antifreeze in the resulting mixture, and 37.8% of the resulting mixture is antifreeze.

Step-by-step explanation:

8 * .45= 3.6 quarts antifreeze

12 * .33= 3.96 quarts antifreeze

3.6 + 3.96= 7.56 quarts of antifreeze in the resulting mixture

7.56 quarts/ 20 quarts (12 + 8) * 100= 37.8%

Final answer:

In the combined solution, there are 7.56 quarts of anti-freeze, which equals 37.8% of the total solution.

Explanation:

To solve this problem, we first need to calculate how many quarts of anti-freeze are in each solution, then add them together.

First, we have 8 quarts of a solution that is 45% anti-freeze. To find how many quarts of the solution is anti-freeze, we multiply the total amount by the percentage: 8 quarts * 0.45 = 3.6 quarts anti-freeze.

Next, we have 12 quarts of a solution that is 33% anti-freeze. Doing the same calculation as before, 12 quarts * 0.33 = 3.96 quarts anti-freeze.

Now, to find the total quarts of anti-freeze in the combined solution, we simply add the two amounts together: 3.6 quarts + 3.96 quarts = 7.56 quarts.

The total amount of solution is 8 quarts (from the first solution) + 12 quarts (from the second) = 20 quarts.

To find the percent of anti-freeze in the final solution, we divide the total amount of anti-freeze by the total amount of solution: (7.56 quarts / 20 quarts) * 100 = 37.8%. Therefore, the resulting mixture is 37.8% anti-freeze.

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What is the x-and y-intercept of the graph 4x -5y =40??

Answers

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

4x-5y=40

To identify the y-intercept, we will need to format the equation in the form y=mx+b. We can start by subtracting 4x from both sides of the equation:

-5y=-4x+40

Divide both sides of the equation by the coefficient of y, which is -5:

y=(-4)/(-5) x - 8

The b is representative of the y-intercept in y=mx+b.

Identify b in the equation y=(-4)/(-5) x - 8:

b=-8

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the y in the equation y=(-4)/(-5) x - 8 with a zero:

0=(-4)/(-5) x - 8

Add 8 to both sides of the equation:

8=(-4)/(-5) x

You can go ahead and divide -4 by -5 to get rid of the fraction:

8=0.8x

Divide both sides of the equation by the coefficient of x, which is 0.8:

10=x

Therefore, our x-intercept is 10.

Solve the equation 15.6 + (-1.8) =

Answers

The solution to the equation 15.6 + (-1.8) is 13.8.

The equation to solve is 15.6 + (-1.8).

First, add the two numbers: 15.6 + (-1.8) = 13.8.

The result is 13.8.

In this equation, you're adding a positive value (15.6) and a negative value (-1.8), which results in a smaller positive value. When you add a positive number and a negative number, you can think of it as moving to the right on the number line (positive direction) but not as far as you would if you were only considering the positive value.

So, the solution to the equation 15.6 + (-1.8) is 13.8.

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Since +(-) becomes (-) we can write the given problem as

15.6-1.8

Subtraction gives us 13.8

:)