To find the midway point of 2 numbers, we find their sum and divide that by 2. For this, we add -24 and 36 ( which amounts to 12) and divide that by 2, meaning that midpoint B is 12/2=6
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.
Complimentary means they add up to 90
x is the angle we're looking for
x + 89 = 90
Subtract 81
x = 90 - 89
x = 1
A is the correct answer.
Let d=discriminant. The the rule is:
d>0, there are two real solutions
d=0, there is one real solution
d<0, there is no real solutions (but there are two imaginary solutions)
So if it is positive, there are two real solutions.