Answer:
169.6 m³
Step-by-step explanation:
the volume = 3.14 × 3² × 6
= 3.14 × 54 = 169.6 m³
Answer:

Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:

Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:

In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:

So:

F(m)=4m(3m-2)
f(m)=12(m^2)-8m
f(-3.3)=12(-3.3^2)-8(-3.3)
f(-3.3)=12(10.89)-(-26.4)
f(-3.3)=130.68+26.4
f(-3.3)=157.08
Work = (force) x (distance)
= (200 lb) x (10 ft) = 2,000 ft-lbs .