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Answer:
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3
The two events are mutually exclusive
Step-by-step explanation:
we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.
In our case this will be;
24/36 = 2/3
<u>Answer:</u>
A. y = -2 - cos(x-π)
<u>Explanation:</u>
<u>The general form of the trig equation is:</u>
y = A sin (Bx + C) + D
where:
A is the amplitude
is the period
is the phase shift
D is the vertical shift
<u>Now, let's check the choices:</u>
<u>A. y = -2 - cos(x-π)</u>
Therefore, the function has a phase shift of π
<u>B. y = 3 cos(4x)</u>
Therefore, the function has no phase shift
<u>C. y = tan(2x)</u>
Therefore, the function has no phase shift
<u>D. y = 1 + sin(x)</u>
Therefore, the function has no phase shift
<u>Based on the above,</u> the correct answer is A
Hope this helps :)