A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.7 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.) What is x(t)?

Using the below data:

Mass (g) of copper gluconate: 1.0 g

Mass (g) of wrapper: 0.6 g

Mass (g) of wrapper + Cu: 0.9 g

Mass (g) of Cu: 0.3 g

Mass (g) of gluconate: 0.7 g

1. Determine the chemical formula of copper gluconate?

2. Calculate the percent composition of copper and the percent composition of gluconate in the compound copper gluconate?

3. Create a Experimental Chemical Formula:

Given stock solutions of 25 mM nitrophenyl phosphate, and 1.5 M tris,pH 7.2, 7.5 mM MgCl2. If you mix 0.1ml of the nitrophenyl phosphate, 0.7 ml of the tris solution and 0.2 ml of water to bring the total volume to 1 ml, what is the final concentrations of each of the components in the final solution? Show work

Nitrophenyl phosphate in mM

Tris in M

Magnesium chloride in mM

The second half of the 1940s was a period of A. recession. B. no economic growth. C. very slow economic growth. D. fairly high economic growth.

There is a quiz show that is composed of three rounds. A contestant solves Question 1 first and if she gets the right answer, then she will move on to next round to answer Question 2, and if she also answers correctly, then she will go to final round to answer Question 3. If she fails to answer correctly, then she is not allowed to go on to the next round. The probability that she knows the answer to Question 1 is 0.9, to Question 2 is 0.8 and to Question 3 is 0.7. What is the probability that she will win this quiz show?

(a) 0.504

(b) 0.56

(c) 0.7

(d) 0.72 15.

Given that she did not win this quiz show, what is the conditional probability that she failed to answer Question 2?

(a) 0.3571

(b) 0.3629

(c) 0.3758

(d) 0.3839

1. The stocks on ABC Company and XYZ Company have the following returns over the last four years.                                                                                   

a.   Calculate the average return on ABC.                                                               (1 mark)

b.   Calculate the average return on XYZ.                                                               (1 mark)

c.   Calculate the variance and standard deviation on the ABC returns.   (2.5 marks)

d.   Calculate the variance and standard deviation on the XYZ returns.   (2.5 marks)

e.   Using the coefficient of variation (standard deviation/average return) to compare the two stocks, which stock is preferable?                                                   

2. Table below shows monthly beer sales at Gordon’s Liquor Store in 2017.

a) Forecast beer sales needed for January 2018 using an exponential smoothing method

α = 0.2, α = 0.4 and α = 0.9

b) Compute an adjusted exponential smoothing for the data using:

α = 0.3 and β = 0.5, α = 0.2 and β = 0.6

c) Calculate MSE for Ft and Aft

A random sample of 6 cars from a particular model year had the following fuel consumption figures (in miles per gallon). Find the 99% confidence interval for the true mean fuel consumption for cars of this model year.

Sample data:

20.9, 18.1, 18.5, 21, 20.3, 20.2

find left endpoint & right endpoint.

A random sample of six cars from a particular model year had the following fuel consumption figures (in miles per gallon). Find the 98% confidence interval for the true mean fuel consumption for cars of this model year.

Sample Data

18.6

19.3

19.4

19.8

19.6

19.7

What is the left and right endpoint? Please help