First, let's count:
there are 26 possible outcomes for E1 (black card)
there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)
there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)
the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):
P(E1 and E2) = 18/52 (34.6%)
And as asked:
P(E1) = 26/52 = 1/2 (50%)
P(E2) = 36/52 = 9/13 (69.2%)
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.
Step-by-step explanation:
Answer:
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Solution:
<u>We know that:</u>

<em>Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.</em>

<u>Cancel out the "2" by dividing it by 18.</u>

<u>Simplify the multiplication.</u>
