Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)

∵ P(A) = $\frac{3}{14}$

∵ P(B) = $\frac{1}{5}$

∴ P(A) . P(B) = $\frac{3}{14}$ × $\frac{1}{5}$

∴ P(A) . P(B) = $\frac{3(1)}{14(5)}$

∴ P(A) . P(B) = $\frac{3}{70}$

∵ P(A and B) = $\frac{3}{65}$

∵ P(A) . P(B) = $\frac{3}{70}$

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

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5 0

4 years ago

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,

Firlakuza [10]

The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
Tan(α)=Opposite leg/Adjacent leg

α=30°
Opposite leg=x
Adjacent leg=200 feet

When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

Tan(α)=Opposite leg/Adjacent leg
Tan(30°)=x/200

You must clear "x":

x=200xTan(30°)

Therefore, the value of "x" is:

x=115 feet
<span>
How high above the ground the is the helicopter?

The answer is: 115 feet</span>

4 0

3 years ago

Please help!!!!!!!!!!!!!!!!

riadik2000 [5.3K]

Write f(x) / g(x) = 1 / ((x+1)(x-2)).

It's easy to see that x cannot be -1 and 2;
So all real numbers exclude -1 and 2, which matches the second choice.

6 0

3 years ago