Answer:-tan (50) -tan (0) - tan (50) tan (0)
Step-by-step explanation:
any expression divided by one stays the same; simplify the expression using the symmetry of trigonometric functions.
Answer: 1700.00
Step-by-step explanation: Maybe, maybe not.
Answer:

Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:

Which has the following solution:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that
. We use this to find r.







So the equation that will estimate the population of the community in t years is:

Answer:
a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.
Step-by-step explanation:
For a) b) and c) we will use the empirical rule, so, we can observe the image shown below
a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%
b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%
c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.
d) The z-score related to 208 is
= (208-196.99)/7.12 = 1.5 and the z-score related to 185 is
= (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.