what is the surface area of the cylinder below?

the parameters we are estimating using the OLS method must be themselves linear

What are the Gauss Markov assumptions?

Gauss Markov Assumptions

Linearity: the parameters we are estimating using the OLS method must be themselves linear. Random: our data must have been randomly sampled from the population. Non-Collinearity: the regressors being calculated aren't perfectly correlated with each other.

What are the properties of Gauss Markov Theorem?

The Gauss-Markov theorem states that if your linear regression model satisfies the first six classical assumptions, then ordinary least squares (OLS) regression produces unbiased estimates that have the smallest variance of all possible linear estimators.

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:

Country Average monthly salary   Standard deviation  Original currency

the Czech Republic   $1,059            $158.80             koruna

Latvia                           $790      $118.60                    lat

Korea                       $2,245            $673.60                  won

Romania                          $646          $96.80            leu

the United States          $4,141         $1,242.20        dollar

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.

a) highest z score

b) lowest z score

c) z score closest to zero

Answer:

a) highest z score

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Step-by-step explanation:

Let us calculate z-score corresponding to each country.

The z-score is given by

\($ z = \frac{x-\mu}{\sigma } } $\)

Czech Republic:

μ = $1,059

σ =  $158.80

\(z = \frac{1500-1059}{158.80 } } \\\\z = 2.77\)

Latvia:

μ = $790

σ =  $118.60

\(z = \frac{1500-790}{118.60 } } \\\\z = 5.98\)

Korea:

μ = $2,245

σ =  $673.60

\(z = \frac{1500-2245}{673.60 } } \\\\z = -1.10\)

Romania:

μ = $646

σ =  $96.80

\(z = \frac{1500-646}{96.80 } } \\\\z = 8.82\)

United States:

μ = $4,141

σ =  $1,242.20

\(z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12\)

Country                                  z-score

Czech Republic                   2.77

Latvia                                  5.98

Korea                                  -1.10

Romania                                  8.82

The United States                   -2.12

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Answer:

The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)

Answer:

7

Step-by-step explanation:

Answer:

it is 7

Step-by-step explanation:

just did in USA-test-prep

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

Rewrite the following equation in logarithmic form.   0.25 = 2^-2

Rewrite the following equation in exponential form.  log8 (512) = 3

Answer:

C.

Step-by-step explanation:

Because when a number is next to a letter you always multiply ( t x 3 ), so the ant is walking three feet per minute which can be described as t x 3 + 6.

Have a good day. :)

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Answer:

The slope is -5

Step-by-step explanation:

(0,1)&(1,-4)

m=y²-y¹/x²-x¹

m=(-4)-1/1-0

m-5/1

m=-5

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

\(\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2\)

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

\(\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24\)

Point (-2,-24)

\(\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6\)

Point (0,-6)

\(\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0\)

Point (2,0)

\(\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6\)

Point (4,-6)

\(\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24\)

Point (6,-24)

The graph is shown in the image below

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

x = 1, 2, 3, 4

Step-by-step explanation:

15x - 43 < 5x + 2

15x - 5x - 43 < 2

15x - 5x < 2 + 43

10x < 45

x < 4.5

x = 1, 2, 3, 4

The required value of the x in the given inequality is x < 4.5.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given expression,
15x - 43 < 5x + 2

Adding 43 on both sides,
15x < 5x + 45

Subtract 5x from both sides,
10x < 45

Divide the inequality by 10
x < 4.5

Thus, the required value of the x in the given inequality is x < 4.5.

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To determine the minimum monthly income and hourly wage per worker needed to cover the monthly expenses for the family in part a, we can add up all the monthly costs:

$949 (housing) + $514 (food) + $0 (child care) + $1,154 (transportation) + $614 (health care) + $530 (other necessities) + $602 (taxes) = $4,362 (monthly total)

Therefore, the minimum monthly income needed for one worker would be $4,362, and for two workers, it would be $8,724.

To calculate the hourly wage based on the monthly income, we can divide the monthly income by the number of hours worked per month. Assuming each full-time worker works four 40-hour work weeks per month (160 hours) and each part-time worker works two 40-hour weeks per month (80 hours), we can calculate the hourly wage as follows:

Full-time worker: $4,362 / 160 hours = $27.26 per hour
Part-time worker: $4,362 / 80 hours = $54.52 per hour

Therefore, each full-time worker would need to earn at least $27.26 per hour to cover the monthly expenses for the family, and each part-time worker would need to earn at least $54.52 per hour.

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Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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Answer:

-14.673

Step-by-step explanation:

Put in -2.01(7.3) on a calcutor and you'll get that answer.

You are simply multiplying the two together

To calculate the car's miles per gallon (mpg) for this trip, we divide the number of miles traveled by the number of gallons of gas used:

mpg = miles traveled / gallons of gas used mpg = 260 miles / 8 gallons = 32.5 mpg

We have to convert the miles per kilometer in order find the kilometer per litre. One mile is nealry equal to  1.609 kilometers, so,260 miles * 1.609 km/mile = 420.94 km

Next, the number of liters of gas is devided by the number of kilometers kpl = kilometers traveled / liters of gas used kpl = 420.94 km / 8 liters = 52.62 kpl

So, the car's miles per gallon for the trip is 32.5 mpg, and the equivalent kilometers per liter is 52.62 kpl.

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The homogeneous difference equation for this system is: y[k] = 0.379*y[k-1] - 0.145*y[k-2]

The homogeneous difference equation for a discrete-time system with a sampling period of t=0.2s, a rise time of 1s, and an overshoot of 0.2 can be given as follows:
y[k] = a*y[k-1] + b*y[k-2]
Where y[k] is the output at time k, y[k-1] is the output at time k-1, and y[k-2] is the output at time k-2. The coefficients a and b are determined by the system's sampling period, rise time, and overshoot.
To find the coefficients a and b, we can use the following equations:
a = (2*exp(-t/tau))/(1+exp(-2*t/tau))
b = -(exp(-2*t/tau))/(1+exp(-2*t/tau))
Where tau is the time constant of the system, t is the sampling period, and exp is the exponential function. For this system, t=0.2s and tau=1s/ln(1+0.2)=0.223s. Plugging these values into the equations for a and b gives:
a = (2*exp(-0.2/0.223))/(1+exp(-2*0.2/0.223)) = 0.379
b = -(exp(-2*0.2/0.223))/(1+exp(-2*0.2/0.223)) = -0.145
Therefore, the homogeneous difference equation for this system is:
y[k] = 0.379*y[k-1] - 0.145*y[k-2]

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Answer:

$9.00

Step-by-step explanation:

Multiply $60.00 by 15% or 0.15 to get 15% of $60.00

Answer:

2cos(330º)

Step-by-step explanation:

both equal to √3

Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Trigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.

Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation

In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

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Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2

=  x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

ii) (a - b)^2 = a^2 + b^2 - 2ab

=  (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

Answer: \(x^2+\frac{11}{4}x+\frac{3}{2}\)

Step-by-step explanation:

Use FOIL:

\(x^2+\frac{3}{4} x+\frac{4}{2} x+\frac{12}{8}\)

\(x^2+\frac{3}{4} x+\frac{8}{4}x+\frac{12}{8} \\\)     Make 3/4x and 4/2x have the same denominator

\(x^2+\frac{11}{4}x+\frac{12}{8}\)            Add like terms

\(x^2+\frac{11}{4}x+\frac{3}{2}\)              Simplify

(a) To find the mean and variance of the service times, we can use the given discrete distribution.

The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
      = [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
      = 0.363 + 0.003 + 0.324
      = 0.69

(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:

Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
                    = 2.1 / 2.2
                    = 0.9545

(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:

System Throughput = 1 / Mean Interarrival Time
                 = 1 / 2.2
                 ≈ 0.4545 customers per minute

(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:

Long-run Average Waiting Time = Average Number of Customers / Throughput
                            = 1 / System Throughput
                            ≈ 1 / 0.4545
                            ≈ 2.2 minutes

(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:

Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
                                   ≈ 0.4545 * (2.1 - 2.2)
                                   ≈ -0.0454

The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.

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The number of units x that produces a maximum revenue with the expression given is x = 0.

To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.

The derivative of the function R with respect to x is:

R'(x) = 342x - 0.18x²

Setting this equal to 0, we get:

342x - 0.18x² = 0

Solving for x, we find that x = 0 or x = 1900.

However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.

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Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

Answer:

it’s 9 because i don’t know I just saw someone else say that

Step-by-step explanation:

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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Answer:

The answer to the first question is B.) The student should have subtracted the 4 first, instead of adding, because it is positive originally. And the answer to the second one is D.) Distribute the -2.

Step-by-step explanation:

Hope this helps! :)

The correct answer about the savings account that Zoe opened, represented by the equation b(x)=675(1.045)ˣ is B. Daniella says the balance in the account increases at a rate of 4.5% each year.

An equation is a mathematical statement that two or more algebraic expressions (the combination of variables with constants and mathematical operands) are equal or equivalent.

This equation is known as the future value equation, formula, or function.

Initial investment = $675

Compound interest rate = 4.5% (0.045 x 100)

Future value factor = 1.045 (100% + 4.5%)

Based on the future value function above, we can conclude that the compound interest rate is 4.5%, which is equivalent to 0.045 as given in the equation.

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Answer:

(450/5)*6 = 540 is the surface of the larger can

Step-by-step explanation:

The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.

The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -

a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.

Keep the values in formula -

a . b = 6(5) + x² + (-11)x

a . b = 30 + x² - 11x = 0

So, x² - 11x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6) (x - 5) = 0

So, the value of x is 6,5.

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ok

The answer is the last line.