# 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?

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)

## Related Questions

Suppose that, from measurements in a microscope, you determine that a certain layer of graphene covers an area of 1.60μm2. Convert this to square meters.

1.60×10^-12 m^2

Step-by-step explanation:

The prefix μ stands for "micro-", which means 10^-6. So, 1 micro-meter is ...

1 μm = 10^-6 m

A square micrometer is then ...

(1 μm)^2 = (10^-6 m)^2 = 10^-12 m^2

1.6 of them is ...

1.6 μm^2 = 1.6×10^-12 m^2

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. What are the z-scores for a woman 6 feet tall and a man 5'10" tall? (You may round your answers to two decimal places) z-scores for a woman 6 feet tall: z-scores for a man 5'10" tall:

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e.

Since ,

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e.

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Zoning activityIf you wanted to build a new house, or add an addition to the house you own, where would you go to get permission? What codes would you have to follow?

To build a new house or add an addition to an existing house, you would need to get permission from your local zoning and planning department, or a similar local government office. You would need to follow building codes, zoning codes, and possibly environmental regulations.

### Explanation:

If you wanted to build a new house or add an addition to the house you own, you would generally need to go to your local zoning and planning department or a similar local government office. These local departments enforce regulations and laws related to land and property use, including residential construction.

As for the codes you would need to follow, these typically include building codes, zoning codes, and sometimes environmental regulations.

Building codes pertain to the actual construction of the structure, ensuring that it is safe and meets certain standards. Zoning codes, on the other hand, govern what types of buildings and uses are allowed in certain areas. Environmental regulations may apply if the construction could affect local ecosystems.

Additionally, if you live in a neighbourhood with a homeowners association (HOA), you may also have to follow their guidelines and get their approval too.

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5.Eight feet of plastic tubing costs $4.08. If you only have$8.16 to spend, how much plastic tubing
can you afford?
Cho

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

A 20-foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? Round the answer to the nearest tenth.A. 21.5
B. 18.3
C. 15.7
D. 19.1

I keep getting 18.3 as my answer, but I feel like I'm doing something wrong. Can somebody please explain and show me how to do this correctly? I don't think I'm doing it right :(