Answer:
V=5.333cubit unit
Step-by-step explanation:
this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1
The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z
The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below
V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:
Answer:
He has driven 16 miles so far
Step-by-step explanation:
The unknown in your equation is the total length of Trey's drive, which we will call "x".
From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":
3/4(x) = 12
multiply both sides of the equation by 4/3 to isolate "x":
(4/3)(3/4)(x) = (12)(4/3)
therefore
x = (12)(4)/(3) = 16
Answer:
<em>P=0.0000037</em>
<em>P=0.00037%</em>
Step-by-step explanation:
<u>Probability</u>
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is

Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is

Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is

Finally, the probability of getting the remaining ace out of the 49 cards is:

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:


P=0.0000037
P=0.00037%