Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A <u>and then</u> event B, we multiply.
1/2 x 13/51 = 13/102
Answer:
f(x) = (x + 10)(x + 4)(x - 1)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a and x = b, then
the factors are (x - a) and (x - b)
The polynomial is then the product of the factors
f(x) = (x - a)(x - b)
Here the zeros are x = - 10, x = - 4 and x = 1, thus the factors are
(x - (- 10)), (x - (- 4)) and (x - 1), that is
(x + 10), (x + 4) and (x - 1)
f(x) = (x + 10)(x + 4)(x - 1)
Answer:
E. -8, -29
Step-by-step explanation:
a-b=21
5a -2b =18
Take the first equation and solve for a by adding b to each side
a-b=21
a-b+b=21+b
a = 21+b
Now substitute a=21+b into the second equation
5a -2b =18
5(21+b) -2b =18
Distribute the 5
105 +5b-2b =18
Combine like terms
105 +3b =18
Subtract 105 from each side
105-105 +3b = 18-105
3b = -87
Divide each side by 3
3b/3 =-87/3
b = -29
if b = -29, we can substitute it into a =21+b
a = 21-29
a = -8
Answer:
true
Step-by-step explanation:
join a, b, c the attach the value A to C=9, B to C=7, and B to A=16
Answer:
140
Step-by-step explanation:
14 * 10 = 140
