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.
Answer:
(8,150)
Step-by-step explanation:
Polar form is in,
(r,theta).
To find r, apply pythagorean theorem using both coordinates to find r.
To find theta, since we know the opposite and adjacent side, apply the tangent function.
Apply inverse tan function
Since the degrees have to be in between 0 and 360. Add 180 to -30.
So the answer is
(8,150).
Answer:
114.59155
Step-by-step explanation:
Ok so direct variation is y=xk
invers is y=k/x
it seems to be that x is on top
therefor
y=x times 1/3
y=xk
direct variation
Well, we would first have to write an equation. Let's start with letter (a). We will put in the variable (x) for the number of children there were, because we don't know how many there were. So... IF we knew how many children there were, what would we do to find out how much pie each child got? Of course, we would divide! Soooo....
6 (mangos) divided by x (the number of children) = 5/6
Now, we solve for x!
So, our first step in the equation 6/x=5/6 would be to multiply, because multiplication is the opposite of division! So, just let me see if I can work this.....
6/x(×)5/6
So, we now can cross multiply and get...
5x=36 (Because 5 time x is 5x and 6 times 6 is 36)
Now, we divide!
So, 5x/5 cancels out and we get just plain little x. 36/5 gives us.....
Improper Fraction Form: 36
Mixed Number Form: 7 1/5
Decimal Form: 7.2
And that's your answer! I really hope this helps! ^_^
