Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:
3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
Answer:
128 ft / second.
Step-by-step explanation:
It's acceleration is due to gravity and is 32 ft s^-2.
To find the velocity when it hits the ground we use the equation of motion
v^2 = u^2 + 2gs where u = initial velocity, g = acceleration , s = distance.
v^2 = 0^2 + 2 * 32 * 256
v^2 = 16384
v = 128 ft s^-1.
Answer:
there is a 1 to 15 relationship between miles and gallons
Step-by-step explanation:
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
_____
Some define the triangle inequality using < rather than ≤. Be careful here.
Answer:
4x²√4√6√x⁶√x
Step-by-step explanation:
4x²√(24x⁷)
The above expression can be simplified as follow:
4x²√(24x⁷)
Recall
√(MN) = √M × √N = √M√N
Thus,
4x²√(24x⁷) = 4x²√24√x⁷
But:
√24 = √(4×6) = √4√6
√x⁷ = √x⁶√x
Thus,
4x²√24√x⁷ = 4x²√4√6√x⁶√x
Therefore,
4x²√(24x⁷) = 4x²√4√6√x⁶√x
