Your 64-cmcm-diameter car tire is rotating at 3.8 rev/s when suddenly you press down hard on the accelerator. After traveling 240 mm, the tire's rotation has increased to 6.5 rev/s.

What was the tire's angular acceleration? Give your answer in rad/s2rad/s2.

Express your answer with the appropriate units.

Does Elevation Affect Temperature Mid-June?
Suppose that you wanted to determine the effect, if any, that elevation has on temperature. The table below lists the elevations (in feet above sea level) of 24 randomly selected cities in the United States and the low temperatures (in degrees Fahrenheit) of these cities on June 15, 2020.

Our eyes can be fooled by how strong a linear relationship is; we need to use a numerical measure, the correlation coefficient, to accurately describe the association between elevation and low temperature. Correlation measures the strength and direction (type) of linear relationships.

This is quite tedious to compute by hand, so we will use our calculator to obtain the value of r.

Using your calculator, press STAT, choose CALC, then 8: LinReg (a+bx). Enter L₁, L₂. Then press the ENTER key to get the correlation coefficient (rounded to 4 decimal places).

r ≈                                           

Given the value of r above, what is the strength of the linear relationship?            Weak        Moderate      Strong

When a scatterplot shows a linear relationship, we would like to summarize the overall pattern by drawing a line on the scatterplot. A regression line describes how a response variable changes as an explanatory variable changes. The least-squares regression line is the line that makes the sum of the squares of the vertical distances of the data points to the line as small as possible.

The form of the equation of a line is y = a + bx where a is the y-intercept, the value of y when x=0, and b is the slope, the amount y changes when x increases by one unit.

Using your calculator, press STAT, choose CALC, 8: LinReg (a+bx). Enter L₁, L₂. Then press the ENTER key to get the coefficients for the least-squares regression line (don't round).  

a =                                                      

b =                                                      

The equation of the least-squares regression line is: _________________________________________________

The coefficient of determination, r², is the proportion of the variation in the values of y that is explained by the linear relationship with x.

r² ≈                                 for this data (write as a decimal rounded to four decimal places)

a) A researcher wants to test if boys spend more time playing sports on average than girls. Data is collected, resulting in the table below. It is known that the times for sports have a normal distribution in general.

Compute the test statistic that is corresponding to the test in the question 9.

Round your answer to two decimal digits.

b)

Let the significance level be 0.05.

Can we reject the null hypothesis?

If we can, choose TRUE, and if not, choose FALSE

Answer in sentences and be logical!
(a) What does it mean for two events to be disjoint? What does it mean for two events to be independent? Give an example of each [not from parts (b) and (c)!].
(b) Consider a family with two children and define the events
            G₁ = { 1^st child is a girl }
            G₂ = { 2^nd child is a girl }
Using these events, discussion the question: Are independent events always disjoint?
(c) Consider a family with one child and define the events
            B = { child is a boy }
            G = { child is a girl }
Using these events, discussion the question: Are disjoint events always independent?

Challenge problem:Critical mass is the smallest amount of radioactive material necessary to sustain a nuclear chain reaction. Uranium-235, the isotope of uranium used in the "little boy" bomb dropped on Hiroshima during Wordl War II,has a critical mass of 52 kg. How many long tons of yellowcake (64% uranium by mass) need to be processed to produce a critical mass of U-235? The percent natural abundance of U-235 is 0.72% and its nuclide mass is 235.0439 amu.

1 long ton = 2240 lb., 1 kg = 2.20 lb.

What is your understanding about Gender Dysphoria and transsexuality? Provide an example of each. Has this understanding change or changed your attitude, perceptions, or views about these gender roles? Why or why not? Can you think of ways in which you encourage social influences that impact the development of gender orientation from early childhood? Would you dress a little boy in a pink shirt? How do you think cartoons and movies impact gender stereotypes? What dilemmas do parents of intersex individuals face? What does "gender neutral" mean?

1.You have discovered a novel toxin-encoding gene in a bacterial pathogen. An adjacent gene encodes a putative transcriptional regulator protein. You decide to identify the promoter for the toxin gene and investigate whether the transcriptional regulator protein controls expression from this promoter. Describe your experimental approach to investigate these questions

2a.Describe how the lac repressor protein is involved in controlling expression of the lac operon.

2b.Explain the difference between homologous recombination and site-specific recombination.

3a.Most genome sequencing projects have used an approach known as "shotgun genome sequencing”. Briefly describe how shotgun sequencing works.

3b.DNA transposons and retrotransposons are both types of mobile elements. Describe these two mobile elements and explain how they differ from each other.

4a.For the following restriction enzymes: A) Xmal C|CCGGG (B) Smal CCC|GGG (C) Sdal CCTGCA|GG (D) Pstl CTGCA|G

(i) What is the length and nature (5’ or 3’) of the overhang generated by each restriction enzyme? (ii) Which pair of these enzymes generate sticky ends that are compatible with each other?

4b.The successful construction and transplantation into a cell of a synthetic Mycoplasma genome was an important milestone in synthetic biology. Briefly describe the approach used in this project

5a.What was different between the genome sequencing approaches used by the public human genome project and the private human genome project led by Craig Venter?

5b.What is systems biology? Give two examples of experimental approaches that have been used in systems biology research.

5c.Describe the principles behind and the applications of the following:

a) Reverse transcriptase-PCR b) Cloning DNA into a plasmid vector c) SDS-PAGE d) Restriction mapping e) Sanger Sequencing of DNA

Barney’s Bookstore

Barney’s Bookstore plans to order a popular new hardback novel. It can purchase any number of this book from the publisher, but the unit cost of the book depends on the number ordered as shown below:

Order Qty Cost/Unit

1000+ $15

2000+ $14

3000+ $13

4000+ $12

Barney’s believes that demand for the book will depend on price. The lower the price, the higher the demand. Based on past data it estimates the following demand:

Price Demand

$30 2000

$28 2400

$26 3000

$24 3800

$22 4800

Also, as with most hardback novels, this one will eventually come out in paperback. Therefore, if Barney’s has any hardbacks left when the paperback comes out, it will put them on sale for $8, at which price it believes all leftovers will be sold.   In this situation Barney’s has to decide on both the price to charge and the quantity to order from the publisher.

Build an Excel model to calculate total profit for any given price and order quantity.

In the above model create a 2-way data table of price versus order quantity. Price should vary as shown in the price-demand table. Order quantity should be the 5 values shown in the price-demand table. This table should give you total profit for any combination of price and order quantity.

Note: Use good structure and formatting in all your Excel models. Don’t display excessive number of decimal places. Anyone reading your Excel model should easily be able to figure out what you are doing.

1.The novel coronavirus, SARS-Cov2, which is responsible for the disease Covid-19 is a positive strand RNA ((+)ssRNA) virus. From what you learned in BIOL1020, suggest a model of how the SARS-Cov2 genome is replicated. The key enzyme for viral replication is unique to the virus and not found in the human host. What is the name of the enzyme, what is its enzymatic function, and how would you explain that a drug called Remdesivir (an adenosine analogue that causes premature termination of RNA synthesis) is currently the most promising drug against a range of RNA viruses, including Ebola ((-)ssRNA virus), MERS ( (+)ssRNA virus ) and SARS-Cov2 ((+)ssRNA virus)?

2.A mutant E. coli strain is found with a mutation affecting some of its tRNA(Cys). The wild type normally produces a tRNA that recognizes the codon 5’ UGC 3’, and is charged with the amino acid Cysteine (Cys) (its notation is tRNA(Cys)). The mutant tRNA is still charged with Cysteine, but the mutation is in its anticodon that now has the sequence 5’- UCA-3’. How will some of the proteins produced in these E. coli cells be different from the proteins produced in the wild type cells?

Your summer research project requires that you purify a novel protein expressed in bacteria. After centrifugation of your cell lysate, you find that there are 4 major proteins left in the supernatant fraction that have the following pI values: protein A = 8.0, protein B = 4.0, protein C = 6.8, and protein D = 5.3. If these proteins are passed over a cation exchange column in a solution buffered to pH 5.2, what will be the order in which they will pass through the column (from first to last to elute) if a linear gradient of increasing salt is applied? Why?

A, B, C, D

C, A, B, D

B, D, C, A

D, B, C, A

D, B, A, C