An airliner flies against the wind on one leg of its round trip in 4.5 hours. It flies back to its starting point, with the wind in 4 hours. If the average speed of the wind is 15 miles per hour, what is the speed of the airliner in still air?
The rate of the airliner in still air is _____ _____
In: Math
An airplane is approaching point A along a straight line and at a constant altitude h. At 10:00 am, the angle of elevation of the airplane is 20° and at 10:01 it is 60°. What is the altitude h of the airplane if the speed of the airplane is constant and equal to 600 miles/hour? (round answer to 2 decimal places).
In: Math
As of the writing of this text, EPA standards limit atmospheric ozone levels in urban environments to 84 ppb. How many moles of ozone would there be in the air above Los Angeles County (area about 4000 square miles; consider a height of 100 m above the ground) if ozone was at this concentration?
In: Chemistry
Consider a portfolio with $3,697 invested in Asset A and $4,421 invested in Asset B with the following returns and probabilities. What is the rate of return on the portfolio pay when a LOSS occurs? (round the the nearest whole percentage ##%, include a negative sign if appropriate )
State
Probability Asset A Asset B
WIN 0.7 24% 39%
TIE 0.2 7% 6%
LOSS 0.1 -3% -9%
In: Finance
Consider a portfolio with $3,697 invested in Asset A and $4,421 invested in Asset B with the following returns and probabilities. What is the rate of return on the portfolio pay when a LOSS occurs? (round the the nearest whole percentage ##%, include a negative sign if appropriate )
| State | Probability | Asset A | Asset B |
| WIN | 0.7 | 24% | 39% |
| TIE | 0.2 | 7% | 6% |
| LOSS | 0.1 | -3% | -9% |
_______
In: Finance
A researcher claims that more than 30 percent of students of WPU use reading glasses. A consumer agency wants to test this claim. The agency takes a random sample of 120 students and finds that 60 of them use reading glasses. If the agency conducts hypothesis testing, which would be the computed p-value for the test?
4.7
4.8
0.2
0.7
None of the above
In: Statistics and Probability
If x is a binomial random variable, compute p(x) for each of the following cases:
(a) n=3,x=2,p=0.9 p(x)=
(b) n=6,x=5,p=0.5 p(x)=
(c) n=3,x=3,p=0.2 p(x)=
(d) n=3,x=0,p=0.7 p(x)=
In: Statistics and Probability
Consider the following 2016 data for Newark Hospital (in millions of dollars)
| Simple Budget | Flexible Budget | Actual Results | |
| Revenues | $4.7 | $4.8 | $4.5 |
| Costs | 4.1 | 4.1 | 4.2 |
| Profit | 0.6 | 0.7 | 0.3 |
a. Calculate and interpret the two profit variances
b. Calculate and interpret the two revenue variances.
c. Calculate and interpret the two cost variances.
d. how are the variances related
Answer a-d.
In: Finance
Question2:
A manager use his company profit time series for one goods to calculate forecast for upcoming years. He use
F1 = Moving Average Method for 3 years
F2 = Weight Moving Average for 3 years
F3 = Exponential Smoothing Method with α = 0.2
F4 = Exponential Smoothing Method with α = 0.7
His calculation represent in the following table. Gide the manager to chose the better method by calculate MAD and MES for each method
|
t |
y |
F1=MA(3) |
F2=WMA(3) |
F3=exp(0.2) |
F4=exp(0.7) |
|
1 |
58 |
- |
- |
- |
- |
|
2 |
46 |
- |
- |
58.0 |
58.0 |
|
3 |
55 |
- |
- |
55.6 |
49.6 |
|
4 |
39 |
53.0 |
53.5 |
55.5 |
53.4 |
|
5 |
42 |
46.7 |
42.9 |
52.2 |
43.3 |
|
6 |
63 |
45.3 |
42.7 |
50.1 |
42.4 |
|
7 |
54 |
48.0 |
56.4 |
52.7 |
56.8 |
|
8 |
55 |
53.0 |
54.6 |
53.0 |
54.8 |
|
9 |
61 |
57.3 |
55.6 |
53.4 |
55.0 |
|
10 |
52 |
56.7 |
59.1 |
54.9 |
59.2 |
|
11 |
- |
56.0 |
54.1 |
54.3 |
54.2 |
In: Statistics and Probability
X1 is a binomial random variable with n = 100 and p = 0.8, while X2 is a binomial random variable with n = 100 and p = 0.2. The variables are independent. The profit measure is given by P = X1 / X2. Run N = 10 simulations of X1 and X2 to simulate the distribution of P, and then find both the variance and the semi-variance.
In: Statistics and Probability