Net U.S. energy imports have decreased every year since 2016. Last year’s change in net energy trade (crude oil, natural gas, coal, and petroleum products) in the U.S.—from 3.6 quads of net imports in 2018 to 0.8 quads of net exports in 2019—was the largest change in U.S. energy trade since 1980. How would the current low oil price affect the U.S. crude oil trade (import and export) in 2020? Apply the D-S (demand, supply) model.
In: Economics
A shop sells a chicken pasta dish. The main ingredients are pasta, chicken and sauce. Each chicken pasta dish contains 250grams of pasta and 100gram of chicken. The price of a pack of 500 grams of pasta is normally distributed with mean $1 and variance $0.4. The price of a pack of 200 grams of chicken is normally distributed with mean $2 and variance $0.8. The sauce in each chicken pasta dish costs $0.5.
What distribution does the total cost of one chicken pasta dish follow? [6 Marks]
In: Statistics and Probability
Be sure to answer all parts.
Absorbance values for five standard solutions of a colored
solute were determined at 410 nm with a 1.00−cm
path length, giving the following table of data:
| Solute concentration (M) | A |
| 0.250 | 0.100 |
| 0.500 | 0.200 |
| 0.750 | 0.300 |
| 1.000 | 0.400 |
| 1.250 | 0.500 |
Determine the absorbance values you would expect for
solutions with the following concentrations:
0.4 M
______
0.6 M
______
0.8 M
______
1.1 M
______
Calculate the average molar absorptivity of the
compound.
_____ 1/(M*cm)
In: Chemistry
b) The load connected to a three-phase supply comprises three
similar coils connected in star. If the phase currents are 10A and
the total active power and power factor absorb by the loads are 3kW
and 0.8 lagging, respectively. Find:
i. The magnitude of phase and line voltages
ii. Total apparent power (1 mark)
iii. The impedance of each coil.
c) If the coil in Q3(b) are now connected in delta to the same
three-phase supply, calculate the magnitude of the line currents
and the magnitude of the total apparent power.
[25 marks]
In: Electrical Engineering
1. The COVID-19 crisis has led to unprecedented fiscal measures. Use the IS-LM curves as well as the AD-AS curves to show the impacts of Congress and President Trump’s stimulus relief actions. Be sure to label all axes and curves. In one or more paragraphs explain what should happen when we assume the MPC is 0.8 and both spending and tax measures are taken to heal the economy. Also, discuss the impact on all variables and economic agents. Be sure to indicate the direction of movement for all variables. (30 points)
In: Economics
1. The daily rainfall in Dublin (measured in millimeters) is modelled using a gamma distribution with parameters α = 0.8 and β = 0.4.
(d) Use the central limit theorem to approximate the probability that the annual rainfall exceeds 800mm (write down the analytical formula and the code used to calculate the cdf value).
(e) Compare the approximate value obtained with the exact counterpart (include the R code used to calculate the cdf value).
(f) Use R to produce a graphical representation that compares the true and approximate densities (include both the code and plot).
In: Statistics and Probability
Researchers are interested in whether having an older sibling provides people a model for stable relationships in adolescence. They gather random samples of people with either older siblings or not and measure the number of relationships they have as teenagers. For individuals with no older siblings (N=16), they find an average of 5 relationships (s=1.4) For individuals with older siblings (N=20), they find an average of 3.5 relationships (s=0.8). Test the null hypothesis that the number of adolescent relationships is equal between those with an older sibling and those without (alpha=0.05).
In: Statistics and Probability
Carbon monoxide gas (CO) contained within a piston– cylinder
assembly undergoes three processes in series:
Process 1–2: Expansion from p1 = 4.5 bar, V1
= 0.8 m3 to V2 = 1.4 m3, during
which the pressure-volume relationship is pV = constant.
Process 2–3: Constant-volume heating from state 2 to state 3, where
p3 = 4.5 bar.
Process 3–1: Constant-pressure compression to the initial
state.
Evaluate the overall work, in kJ and graph
In: Mechanical Engineering
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 195.2-cm and a standard
deviation of 0.8-cm. For shipment, 22 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is less than 195.1-cm.
P(M < 195.1-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.
In: Statistics and Probability
Thadeus Corp has gross payroll of $330,000 for the month ended June 2019. Of the $330,000, $50,000 exceeds the Social Security limit of $140,000, and $250,000 exceeds the FUTA and SUTA limits of $7,000. Thadeus withholds $65,000 in federal income tax and $19,000 in state income tax. Using the following tax rates: Social security 6.2%, Medicare 1.45%, FUTA 0.8%, and SUTA 1.6%; what is Thadeus' PAYROLL TAX EXPENSE for the month ended June 2019?
Select one:
$108,065
$22,313
$22,205
$15,385
$24,065
In: Accounting