14. From the half-reactions below, calculate the solubility product of Mg(OH)₂.

          Mg²⁺ + 2e º Mg(s)                        E° = -2.360 V

          Mg(OH)₂(s) + 2e º Mg(s) + 2OH^- E° = -2.690 V

Find V(X) of the geometric distribution (Hint for the problem: Use the interchange derivative and summation, Find E(X^2), and then use the formula V(X) = E(X^2) - E(X)^2). Please show all work and all steps.

Cost can be classified in 5 categories-behavior, traceability, controllability, relevance and function. Briefly explain each category.

these videos will help you: https://www.youtube.com/watch?v=NqC0hgdcPuM&feature=youtu.be

https://www.youtube.com/watch?v=0y4cLVZQdOE&feature=youtu.be

A voltaic cell consists of an Al/Al3+ half-cell and a Cd/Cd2+ half-cell. Calculate Ecell when [Cd2+] = 0.00303 M and [Al3+] = 0.47 M. You should use the reduction potentials for Al3+ is -1.66 V and for Cd2+ is -0.40 V.

How large is the content of ethanol expressed in mass percent and in mole percent in hand spirit?

Hand spirit contains 70 vol% ethanol.

Subjects density in (g/cm^3)

Ethanol 0.78934  

Water 0.99823

70% v / v ethanol 0.88650

About 58% of students go to a college within 100 miles of their home. If you choose a random sample of 10 students, what is the probability that at least four students go to a college within 100 miles of their home?

1. Describe the personal qualities of teachers who increase students’ motivation to learn.
2. Identify the learning climate variables that increase students’ motivation to learn.
3. Explain how different Instructional variables increase students’ motivation to learn.

At LIU, they wish to test whether the mean working hours/week of students in LIU Beirut is
higher than the mean working hours/week of students in Bekaa campus. A sample was taken
from each campus and the details were reported in the table below.

Beirut students (1) Bekaa students (2)

Population standard deviation σ1 = 6 σ2 =5
Sample Mean x̄1 = 35 x̄2 = 30
Sample size n1 = 40 n2 = 40
a. Can you conclude, at α = 0.1(10%), that students in Beirut have a higher mean working
hours/week than that of the students in Bekaa? (Use the 5-step hypothesis testing)
b. Confirm your answer using the P-value method

4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used a computer in their mathematics classes and another sample of students who had not used a computer. The sample mean score for students using the computer was 309 with a sample standard deviation 29. For students not using computer, the sample mean was 303 and sample standard deviation was 32. Assume there were 60 students in the computer sample and 40 students in the sample that hadn’t used a computer. Can you conclude that the population mean scores differ? Use a α=0.05 significance level.

a. Calculate the Margin of error for 99% confidence level.

b. Construct a 99% confidence interval for the difference in means

c. Do the Hypothesis test.