Answer:
1596.2 ft/m
Step-by-step explanation:
<u>Data</u>
- height of water, h = 11 ft
- acceleration of gravity, g = 32.17 ft/s²
Given that 60 seconds are equivalent to 1 minute:
g = 32.17 ft/s² * 60² s²/1 min² = 115812 ft/min²
From Bernoulli's theorem:
velocity = √(2gh)
velocity = √(2*115812*11)
velocity = 1596.2 ft/m
H(h(x)) means to use the entire function h(x) as the x value in the function h(x)..
h(h(x)) = (x²+1)² + 1
= (x²+1)(x²+1) + 1
= (x^4 + x² + x² + 1) + 1
= x^4 + 2x² + 2
g(h(x)) means to use the entire function h(x) as the x value in the function g(x)..
g(h(x)) = 3(x² + 1)
= 3x² + 3
g(h(x))
Answer:
Step-by-step explanation:
Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k
In this case we have the event
“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.
Then we have 2 possible events, either the computer is right or not.
Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function
This gives the probability that k computers are wrong at the same time.
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck, i tried to give you the right answer so if its wrong then its the system!
Step-by-step explanation:
A nice riddle, mathematical riddle.
Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.
The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.
Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.
On polling day, the vote count came out as follows (in point counts)
Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS
So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.
Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.