Answer: 0.1 or 1/10
Step-by-step explanation:






Cross, cancel common factor


Answer:
500^1/3
Step-by-step explanation:
Since it is a cube root, the exponent is 1/3.
The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:

Simplify

The probability that the ball does not land on a red slot is calculated as:


Simplify

<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula

Where:


So, we have:



Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
Log(2)/log(1.064) ≈ 11.17 . . . . hours
_____
The population can be given by
p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n