Answer:
D). (1, 0)
Step-by-step explanation:
The parabola opens to the right, so the focus will be to the right of the vertex at (0, 0). The only answer choice with a positive x-value is D.
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The equation of a parabola with vertex (0, 0) can be written as
y^2 = 4px
where p is the distance from the vertex to the focus. Here, that distance is 1.
Answer:
1:3
Lowest possible simplification.
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
Answer:
Graph 3
Step-by-step explanation:
Square root 156.25 to get the values of the sides of the square. You will get 12.5m for each side.
Now that you have the side values, use Pythagoras' Theorem to solve for the diagonal. Let's call the diagonal x,
c^2 = a^2 + b^2
x^2 = 12.5^2 + 12.5^2
= 312.5
Square root both sides to get x,
x = 17.68m (2 d.p)
HOPE THIS HELPED! Ask me if there is anything you don't understand from this working :D
