Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:

Given that p=0.18, n=5 , is calculated as:

Hence, the probability of no more than 2 successes in 5 trials is 0.9562
X^2 = 4^2 - (2√3)^2
x^2 = 16 - 12
x^2 = 4
x = 2
answer
x = 2 cm
If the base is 2 and the exponent is the the expression would look like this → 2³. In order to simplify it, you have to multiply the base number by the number of the exponent.
2×2×2=8
Therefore, the simplified expression would be 8.
I hope this helped.
Answer:
True
Step-by-step explanation:
Consider the attached figure. If AB has length 1, then BC has length sin(15°) and CD (the altitude of triangle ABC) has length sin(15°)·cos(15°).
By the double angle formula for sin(α), ...
... sin(2α) = 2sin(α)cos(α)
Rearranging, this gives
... sin(α)·cos(α) = sin(2α)/2
We have
... CD = sin(15°)·cos(15°) = sin(2·15°)/2
... CD = sin(30°)/2 = (1/2)/2 = 1/4
That is, the altitude, CD, is 1/4 the hypotenuse, AB, of triangle ABC.