9 quarters...................
Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.
For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

It is provided that events <em>A</em> and <em>B </em>are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:

Thus, the value of P (A ∩ B) is 0.25.
Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.
Use the Law of Sines to find the value of a, as follows:
sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883
a =
Answer:
C. (1, -3)
Step-by-step explanation:
Plug in the x to get the y in the equation. The point must fit the formula.
Plug in C. (1, -3), in which x = 1, y = -3:
(-3) = 2(1) - 5
Simplify:
(-3) = 2(1) - 5
-3 = 2 - 5
-3 = -3 (True).
C is your answer.
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