Can you show me how this problem is B

Consider a population in which the frequencies of allele A is p=0.7 and the frequency of a is q=0.3

The fitness of each of the genotypes are as follows:

w_AA = 1

w_Aa = 0.9

w_aa = 0.8

What will be the allele frequencies of p and q after one generation?

• A. p =0.5 q =0.5

• B.

  p = .722

  q = .278

• C.

  p = .70

  q = .30

•   D.

  p = 0.8

  q = 0.2

Calculate the conjugate base to acid ratio in Solution D (10 mL of 0.2 M acetic acid and 1 mL of 0.1 M sodium hydroxide, and 9 mL distilled water). Then calculate the theoretical pH.

Initial pH: 3.47

Molarity of HCl: 0.0992        about 0.3 mL added               pH after HCl addition: 3.09

Molarity of added NaOH: 0.0997M         about 0.2 mL added           pH after NaOH addition: 3.54

2. A 13.2kg block is on a ramp, with an incline of θ

(a) If the ramp is frictionless what is the magnitude of the acceleration of the block down the ramp?

(b) If the ramp has a coefficient of static friction of µs = 0.3, at what angle θ will the block start to move? Imagine like the friction lab, you slowly increase the incline of the ramp.

(c) Does the angle found in b) depend on mass? (d) What is the work done by the Normal force on the block if it travels 1.00m down the ramp?

How's the economy? A pollster wants to construct a 99.5% confidence interval for the proportion of adults who believe that economic conditions are getting better.

(a) A poll taken in July 2010 estimates this proportion to be 0.3 Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

B. Estimate the sample size needed if no estimate of p is available.

Consider the monthly returns of two risky assets. The return of the first asset has a mean of 2% and standard deviation of 3%. The return of the second asset has a mean of 1.5% and standard deviation of 2%. The correlation coefficient of the two returns is 0.3. How can the minimum variance portfolio (MVP) be constructed? What are the mean and standard deviation of the return of the MVP? Consider a portfolio with 50% invested in asset 1 and 50% invested in asset 2. Is such a portfolio efficient?

A 200-lb man walks up an inclined plank of negligible weight which makes an angle of 70o with the wall. The coefficient of static friction between the floor and the ladder is 0.3 and that between the ladder and the wall is 0.2. When the man is at a horizontal distance X from the foot of the plank, the plank would begin to slide. (a) Draw a complete FBD of the system. Find (b) the frictional force on the floor, (b) the frictional force on the wall and (c) the horizontal distance X

When the transportation of natural gas in a pipeline is not feasible for economic
reasons, it is first liquefied using nonconventional refrigeration techniques and
then transported in super-insulated tanks. In a natural gas liquefaction plant,
the liquefied natural gas (LNG) enters a cryogenic turbine at 3 MPa and -160
°C at a rate of 20 kg/s and leaves at 0.3 MPa. If 115 kW power is produced by
the turbine, determine the efficiency of the turbine. Take the density of LNG to
be 423.8 kg/m3

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

HoHo : pA=0.4pA=0.4;  pB=0.2pB=0.2;  pC=0.1pC=0.1;  pD=0.3

What is the chi-square test-statistic for this data?
χ2

For significance level alpha 0.025, what is the chi-square Critical Value?