Answer:
.
Step-by-step explanation:
Given the statement
If 
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).
The correct answer is: [C]: " -4 (-2x² - 3x + 4) " .
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Explanation:
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8x² + 12x - 16 ; factors into:
-4 (-2x² - 3x + 4) ; which is: Answer choice: [C].
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Answer:
x=125
Step-by-step explanation:
∠PAT=180° - ∠ATP - ∠APT
∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°
3x + 3 + 4x + 4 + 173-7x = 180
⇔x = 125
