There and Back Julian biked a 24 km trip to Guelph. On his way there, his average speed was 12 km/h. On his way home, he stopped
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Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule (rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer:
Part A:
The probability that all of the balls selected are white:
Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:
Step-by-step explanation:
A is the event all balls are white.
D_i is the dice outcome.
Sine the die is fair:
for i∈{1,2,3,4,5,6}
In case of 10 black and 5 white balls:
Part A:
The probability that all of the balls selected are white:
Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:
We have to find
The data required is calculated above: