(A) How many moles (of molecules or formula units) are in each sample? And please explain how the answer is found.

1) 20.0 g NO2

2) 1.35 kg CO2

3) 40.4 g KNO3

4) 102.3 kg Na2SO4

(B) How many molecules (or formula units) are in each sample? And please show how to find answer

1) 52.03 g CCl4
2) 73.85 kg NaHCO3

3) 123.22 g C4H10

4) 3.15×10⁴ g Na3PO4

The Four Loves by C.S Lewis

1. Define “gift-love” and “need-love” (1). Which is more like God? What problem does Lewis run into when he tries to determine which is best? (2-4)

2. Explain the difference between ‘nearness-by-likeness’ and ‘by- approach’ (4-5). How does the distinction guard help us guard against the tendency of “every human love, at its highest ... to claim for itself a divine authority” (7-8)?

Given the following Hypothetical Example and the base year is 2017, answer the questions that follow

1. Calculate the nominal GDP in the three years
   
   
2. Calculate the real GDP in the three years.
   
   
3. Calculate the GDP deflator in the three years
   
   
4. Calculate the real GDP growth between 2018 and 2019
   
   
5. Calculate the rate of inflation in 2019

Number of nonconformities in a process detected by inspection of sample size 50 are: 3, 2, 3, 1, 4, 0, 2, 3, 4, and 5. For sigma = 3:

a. Construct a control chart for the fraction of nonconformities.

b. Construct a control chart for the number of nonconformities.

c. Can you conclude that this process is in statistical control? Why?

A die is weighted so that rolling a 1 is two times as likely as rolling a 2, a 2 is two times likely as rolling a 3, a 3 is two times as likely as rolling a 4, a 4 is two times a likely as rolling a 5, and a 5 is two times as likely as rolling a 6. What is the probability of rolling an even number?

Which of the following electronic transitions in a hydrogen atom will be accompanied by the absorption of electromagnetic radiation of the longest wavelength?

Group of answer choices

A. n = 3 → n = 4

B. n = 6 → n = 5

C. n = 3 → n = 2

D. n = 1 → n = 2

E. n = 4 → n = 5

v

To illustrate how to conduct rate-of-change calculations, we will use the following example. Note that this is just an example; the data in the table below do not match the data collected in this experiment.

Using these numbers, you need to calculate the rate of change in the relative frequency of stickleback with a complete pelvis per 1,000 years.

Step 1. Calculate the relative frequency of stickleback with a complete pelvis in each layer using this formula:

In this example, layer 1 had a total of 20 fish and 15 had a complete pelvis; the relative frequency of fish with a complete pelvis is 15/20 = 0.75. In other words, 75% of fish in that layer had a complete pelvis.

For layer 2 the relative frequency of fish with a complete pelvis is 0.5.

Step 2. Calculate the rate of change in relative frequencies between layer 1 and layer 2—a span of 3,000 years.

To do that, you subtract the number of the older layer (layer 1) from that of the more recent neighboring layer (layer 2).

Thus, the change in relative frequency of stickleback with a complete pelvis between layer 1 and layer 2 = 0.5-0.75 = -0.25. (Note that it is a negative number because the relative

frequency of fish with a complete pelvis decreased.)

Step 3. Calculate the rate of change for 1,000-year increments. To do this, you must divide each rate of change by 3 because there are 3 1,000-year increments between layers 1 and 2, and between layers 2 and 3, and so on.

So, the rate of change in relative frequency of stickleback with a complete pelvis between layer 1 and layer 2 per 1,000 years = -0.25/3 = -0.083. In other words, for every thousand years between layer 1 and layer 2 there is an average 8.3% decrease in the relative frequency of fish with the complete pelvis.

First 3,000 years
(From layer 1 to layer 2)

?

Next 3,000 years
(From layer 2 to layer 3)

?

Next 3,000 years
(From layer 3 to layer 4)

Next 3,000 years
(From layer 4 to layer 5)

?

Next 3,000 years
(From layer 5 to layer 6)

?

Rate of change per
thousand years

?

Given the following sample information, test the hypothesis that the treatment means are equal at the 0.01 significance level:

a. State the null hypothesis and the alternative hypothesis.

H₀ : μ₁  (select one)  = / > / <

μ₂    (select one)   = / > / < μ₃

H₁ : Treatment means  (select one)  are not / are all the same.

b. What is the decision rule? (Round the final answer to 2 decimal places.)

Reject H₀ if F >:   

c. Compute SST, SSE, and SS total. (Round the final answers to 2 decimal places.)

SST =                

SSE =                

SS total =                  

d. Complete the ANOVA table. (Round the SS, MS, and F values to 2 decimal places.)

e. State your decision regarding the null hypothesis.

Decision:  (select one)  Reject / Do not reject  H_0.

f.Find the 95% confidence interval for the difference between treatment 2 and 3. (Round the final answers to 2 decimal places.)

95% confidence interval is: _ ± _  

We can conclude that the treatments 2 and 3 are  (select one)  different / the same

Given the following sample information, test the hypothesis that the treatment means are equal at the 0.10 significance level:

a. State the null hypothesis and the alternative hypothesis.

H₀ : μ₁  (Click to select)  =  >  <  μ₂    (Click to select)  =  >  <  μ₃

H₁ : Treatment means  (Click to select)  are not  are   all the same.

b. What is the decision rule? (Round the final answer to 2 decimal places.)

Reject H₀ if F >                 .

c. Compute SST, SSE, and SS total. (Round the final answers to 2 decimal places.)

SST =                

SSE =                

SS total =                  

d. Complete the ANOVA table. (Round the SS, MS, and F values to 2 decimal places.)

e. State your decision regarding the null hypothesis.

Decision:  (Click to select)  Reject  Do not reject  H_0.

f.Find the 95% confidence interval for the difference between treatment 2 and 3. (Round the final answers to 2 decimal places.)

95% confidence interval is:    ±     

We can conclude that the treatments 2 and 3 are  (Click to select)  different  the same   .