Answer:
(B) 0.0588
Step-by-step explanation:
The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:
Because the deck has 52 cards and 13 of them are diamonds.
Then, if the first card was diamonds, the probability that the second card is also diamond is:
Because now, we just have 51 cards and 12 of them are diamonds.
Therefore, the probability that both cards are diamonds is calculated as a multiplication between 
and 
. This is:
Answer:
288
Step-by-step explanation:
a = 9
b = -1
c = -8
b^2 * -4 * ( a * c )
Just filing in the numbers given above:
-1^2 * -4 * ( 9 * -8 )
1 * -4 * ( -72)
1 * + 288 = 288
Answer:
I think it's B
Step-by-step explanation:
Since that is the opposite like it says
The slope is represented by m and the y-intercept is represented by b in the equation
y = mx + b. The slope-intercept form for this would be y = -2/3x + 4.
h(t) = -16t² + 50t + 5
The maximum height is the y vertex of this parabola.
Vertex = (-b/2a, -Δ/4a)
The y vertex is -Δ/4a
So,
The maxium height is -Δ/4a
Δ = b² - 4.a.c
Δ = 50² - 4.(-16).5
Δ = 2500 + 320
Δ = 2820
H = -2820/4.(-16)
H = -2820/-64
H = 2820/64
H = 44.0625
So, the maxium height the ball will reach is 44.0625
