Answer:
1 / 2
Step-by-step explanation:
- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2
- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.
- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2
3x² -x+4=0
We can use quadratic formula
a=3, b= -1, c=4
Answer: 12.32 for 5 day week or 8.8 for a seven day week
Step-by-step explanation:
2.2 x 28 = 61.6
61.6 divided by 5 is 12.32
divide by seven if its a full week and the answer is 8.8
Hey there!
x^2 + 4x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + 4x - 12 = 12 - 12
SIMPLIFY IT
x^2 + 4x - 12 = 0
FACTOR the LEFT SIDE of your EQUATION
(x - 2)(x + 6) = 0
• EQUATION #1: x - 2 = 0
OR
• EQUATION #2: x + 6 = 0
SIMPLIFY IT
• EQUATION #1 answer: x = 2
OR
• EQUATION #2 answer: x = -6
OVERALL ANSWER: x = 2 or x = -6
YOUR ANSWER: x = 2 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The volume of a cone with respect to its diameter is:
V=(hπd^2)/12 solving this for d we have:
d=√[(12V)/(hπ)], we are given that V=128π and h=5 so
d=√(1536π)/(5π)
d=√(1536/5)
d=√307.2 cm
d≈17.53 cm (to nearest hundredth)
