During an intramural basketball game, Team A scored 14 fewer points than Team B. Together, both teams scored a total of 146 poin
1 answer:
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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%
Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3