Answer: The required probability is 9.09%.
Step-by-step explanation: Given that a jar contains 6 blue, 4 red, and 2 green marbles.
We are to find the probability that three blue marbles are drawn with out replacement.
Total number of marbles = 6 + 4 + 2 = 12.
After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.
Therefore, the probability of drawing three blue marbles without replacement is given by
Thus, the required probability is 9.09%.
Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
2/7x - 2/5x = 8
multiply both sides by 35
= 10x - 14x = 280
combine 10x and 14x
= -4x = 280
divide both sides by -4
x= -70
<h3>
Answer: 5/51</h3>
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Explanation:
We have 6 green out of 6+6+6 = 18 total
The probability of getting green is 6/18 = 1/3.
After selecting that green jelly bean and not putting it back, we have 6-1 = 5 green out of 18-1 = 17 total.
The probability of selecting another green is 5/17.
Multiply the two fractions 1/3 and 5/17
(1/3)*(5/17) = (1*5)/(3*17) = 5/51
The probability of selecting two greens in a row is 5/51 where we do not put the first selection back. We also do not replace the green jelly bean with some other identical copy.
Note: 5/51 = 0.098039 approximately
Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.