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Norma-Jean [14]
2 years ago
11

A bag contains nine yellow marbles and nine red marbles. You randomly select two marbles from the bag. What is the probability t

hat both marbles are yellow when you do not replace each marble before selecting the next marble? Write your answer as a decimal rounded to the nearest thousandth.
The probability that both marbles are yellow is about
Mathematics
1 answer:
77julia77 [94]2 years ago
4 0
<h3>Answer:   0.235</h3>

======================================================

Explanation:

9 yellow

9 red

9+9 = 18 total

If you select a marble at random, the chances of it being yellow are 9/18.

If you selected another marble at random, without replacing the first marble, then 8/17 is the probability of getting another yellow marble. I subtracted 1 from the numerator and denominator of 9/18 to go to 8/17.

We multiply the two results

(9/18)*(8/17) = 0.235 approximately

There's roughly a 23.5% chance of getting two yellow in a row, where we don't replace the first marble selected.

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tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

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