Answer:
12.84 mg/L
Explanation:
We are given;
Volume of lake; V = 1.1 x 10^(6) m³
decay coefficient; K = 0.10/day = 0.1/(24 × 60 × 60) /s = 0.00000115741 /s
Factory rate: Q_f = 4.3 m³/s
Factory concentration: C_f = 100 mg/L
Stream rate: Q_s = 34 m³/s
Stream Concentration: C_s = 2.3 mg/L
Now, to find the steady state concentration of pollutant in the lake, we will use the formula;
(Q_s•C_s) + (Q_f•C_f) = (Q_f + Q_s)C_L + (KV•C_L)
Where C_L is the steady state concentration of pollutant in the lake.
Thus, making C_L the subject, we have;
C_L = [(Q_s•C_s) + (Q_f•C_f)]/(Q_f + Q_s + K•V)
Plugging in the relevant values gives;
C_L = ((34 × 2.3) + (4.3 × 100))/(4.3 + 34 + (0.00000115741 × 1.1 × 10^(6)))
C_L = 12.84 mg/L
Answer:
874 psi
Explanation:
Given a sample mean (x') = 900,
and a standard error (SE) = 10
At 99% confidence, Z(critical) = 2.58
That gives 99% confidence interval as,
x' ± Z(critical) x SE = 900 ± 2.58 x 10
The value of the lower limit is,
900 - 25.8 = 874.2
≈ 874 psi
Answer:
By running multiple regression with dummy variables
Explanation:
A dummy variable is a variable that takes on the value 1 or 0. Dummy variables are also called binary
variables. Multiple regression expresses a dependent, or response, variable as a linear
function of two or more independent variables. The slope is the change in the response variable. Therefore, we have to run a multiple regression analysis when the variables are measured in the same measurement.The number of dummy variables you will need to capture a categorical variable
will be one less than the number of categories. When there is no obvious order to the categories or when there are three or more categories and differences between them are not all assumed to be equal, such variables need to be coded as dummy variables for inclusion into a regression model.
Business cycle and its growth followed by economic contraction the amount of time it takes a business to produce products in the following way.
Explanation:
The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (GDP) and other macroeconomic variables.
A business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time.
Economists note, however, that complete business cycles vary in length. The duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length.
FACTORS THAT SHAPE BUSINESS CYCLES
Volatility of Investment Spending
- Variations in investment spending is one of the important factors in business cycles. Investment spending is considered the most volatile component of the aggregate or total demand (it varies much more from year to year than the largest component of the aggregate demand, the consumption spending), and empirical studies by economists have revealed that the volatility of the investment component is an important factor in explaining business cycles in the United States.
Momentum
Technological Innovations
Variations in Inventories
Fluctuations in Government Spending
Politically Generated Business Cycles
Monetary Policies
Fluctuations in Exports and Imports
