The questions below refer to the following system: Co(H2O)6 2+ + 4 Cl– CoCl4 2– + 6H2O pink blue

When cobalt(II) chloride is added to pure water, the Co2+ ions hydrate.

The hydrated form then reacts with the Cl– ions to set up the equilibrium shown here. 27.) What change will the system undergo if hydrochloric acid is added? (It should become more blue and the equilibrium will shift to the right.)

Show that (x-2)² -lnx = 0, [1,2] and [e,4] have at least one solution in the given intervals.

Question 2: [15 marks, 5 each] Manufacturing and Product Development:

The actual width of a 2×4 piece of lumber is approximately 1 3/4 in (1.75 in). but can vary considerably. Larry’s Lumber advertises consistent dimensions for better building, and claims all 2×4 sold have a mean width of 1 3/4 in. with a standard deviation of 0.02 in.

1. [5 marks] Assume the distribution of widths is approximately normal. Find a symmetric interval about the mean that contains almost all of the 2×4 widths. Show your work. (1.75

2. [5 marks] Suppose a random 2×4 has width 1.78 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.

3. [5 marks] Suppose a random 2×4 has width 1.68 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.

Question 2: [15 marks, 5 each] Manufacturing and Product Development:
The actual width of a 2×4 piece of lumber is approximately 1 3/4 in (1.75 in). but can vary considerably. Larry’s Lumber advertises consistent dimensions for better building, and claims all 2×4 sold have a mean width of 1 3/4 in. with a standard deviation of 0.02 in.
a. [5 marks] Assume the distribution of widths is approximately normal. Find a symmetric interval about the mean that contains almost all of the 2×4 widths. Show your work. (1.75
b. [5 marks] Suppose a random 2×4 has width 1.78 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.
c. [5 marks] Suppose a random 2×4 has width 1.68 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.

2.) (12 pts.) Show that F = ( xy/(1+x^2y^2) + 1 + arctan(xy))i+ (x^2/(1+x^2y^2-1)j is a conservative vector field. Then use the Fundamental Theorem for Line Integrals to find the Work done by F from point (0,0) to point (2, 1/2).

A) What are the returns to scale for the following production function: q=5^(1/2)K^(1/2)+19^(1/2)L^(1/2)

B) What type of returns to scale does 3K^(1/3)L^(2/3)+3 have?

after answer it, Pease write the steps for SPSS to let me do it myself.

1. Identify variables that are tested for Main effects – Are they statistically significant? If so, at what alpha level?

2. Identify variables that are tested for Interactions – Are they statistically significant? If so at what level?

need to output this in java

Enter an integer: 5

1

2 2 2

3 3 3 3 3

4 4 4 4 4 4 4

5 5 5 5 5 5 5 5 5

4 4 4 4 4 4 4

3 3 3 3 3

2 2 2

1

(in the shape of a diamond)

please help me with the correct code, thanks

solve using r if coding is required

The data in air-pollution.txt are 42 measurements on air-pollution variables recorded at noon in the Los Angeles area on different days.

Variables: X₁ = Wind, X₂ = Solar radiation, X₃ = Carbon monoxide, X₄ = Nitric oxide, X₅ = Nitrogen dioxide, X₆ = Ozone, and X₇ = Hydrocarbon content.

(a) Evaluate the sample mean vector x.

(b) Evaluate the sample variance-covariance matrix, S, and its inverse, S−1.

(c) Evaluate the sample correlation matrix R. Interpret the pairwise correlations. Also con- struct a scatterplot matrix (a matrix of scatter plots) for these data

(d) Construct a normal quantile plot (Q-Q plot) for the solar radiation measurements (X2) and carry out a test for normality using the Shapiro-Wilk test. Does the data appear to be normally distributed? Explain.

data is

Wind Radiation CO NO NO2 O3 HC
  8  98  7  2  12  8  2
  7  107  4  3  9  5  3
  7  103  4  3  5  6  3
  10  88  5  2  8  15  4
  6  91  4  2  8  10  3
  8  90  5  2  12  12  4
  9  84  7  4  12  15  5
  5  72  6  4  21  14  4
  7  82  5  1  11  11  3
  8  64  5  2  13  9  4
  6  71  5  4  10  3  3
  6  91  4  2  12  7  3
  7  72  7  4  18  10  3
  10  70  4  2  11  7  3
  10  72  4  1  8  10  3
  9  77  4  1  9  10  3
  8  76  4  1  7  7  3
  8  71  5  3  16  4  4
  9  67  4  2  13  2  3
  9  69  3  3  9  5  3
  10  62  5  3  14  4  4
  9  88  4  2  7  6  3
  8  80  4  2  13  11  4
  5  30  3  3  5  2  3
  6  83  5  1  10  23  4
  8  84  3  2  7  6  3
  6  78  4  2  11  11  3
  8  79  2  1  7  10  3
  6  62  4  3  9  8  3
  10  37  3  1  7  2  3
  8  71  4  1  10  7  3
  7  52  4  1  12  8  4
  5  48  6  5  8  4  3
  6  75  4  1  10  24  3
  10  35  4  1  6  9  2
  8  85  4  1  9  10  2
  5  86  3  1  6  12  2
  5  86  7  2  13  18  2
  7  79  7  4  9  25  3
  7  79  5  2  8  6  2
  6  68  6  2  11  14  3
  8  40  4  3  6  5  2

All the following are methods of comparison used in performance measurement. Which are inadequate as contemporary measures?
1) Standard costs.
2) Past periods.
3) Budget targets.
4) Benchmarking.