There’s a 75% chance that everyone in the group is a girl
Answer:
0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A San Francisco-based tech firm is able to keep 80% of its new employees after one year.
This means that 
Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year
This is P(X = 2) when n = 2. So


0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Answer:
14
Step-by-step explanation:
168/ 12
Answer:
After 8 hour there will be 317.64 pounds of algae.
y-intercept: (0, 50)
Step-by-step explanation:
At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.
Exponential growth is modeled by the following equation:
y = x0*(1 + r)^t
where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:
100 = 50*(1 + r)^3
2 = (1 + r)^3
ln(2) = 3*ln(1 + r)
r = exp(ln(2)/3) - 1
r = 0.26
This result can be checked as follows
y = 50*(1 + 0.26)^6 = 200
After 8 hours:
y = 50*(1 + 0.26)^8 = 317.64
The y-intercept corresponds to t = 0
y = 50*(1 + 0.26)^0 = 50
Answer:
*Me explaining Which of the following accurately shows the range of the function defined below* There you go.
Step-by-step explanation: