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Each time you visit the state fair, you play some games at the Midway. One game has four prizes (A, B, C, D). (a) How many different four letter sequences are possible if each letter is chosen from {A, B, C, D} with repeats allowed? (b) How many different four letter sequences have each letter occurring exactly once? (c) How many different four letter sequences don't contain B? (d) How many different four letter sequences have two letters, each of which occurs twice?
if 18.8 ml of 1.25 m sodium hydroxide solution is necessary to neutralize 25.0 ml of hydrochloric acid solution to a phenolphthalein end point, calculate the molarity of the hydrochloric acid solution
Find the area bounded by the curve x=y²+2y and the line x=3.
- Explain why metagenomics is probably the most revolutionary application of genomics. What application of genomics would best serve your community and why?
- Research Bioremediation as an application of metagenomics, and comment on how this mechanism can be utilized as an environmental management intervention within your community. Here are some videos to get you started:
Find the area of the region bounded by the curves X= Y³ and Y= X²
2. Consider all samples of size 2 from this population:
2 5 6 8 10 12
a. Compute the mean () and variance () of the population.
b. List all samples of size 2 and compute the mean for each sample.
c. Construct the sampling distribution of the sample means.
d. Calculate the mean of the () of the sampling distribution of the sample means.
e. Calculate the variance of the () of the sampling distribution of the sample means.
A battery powered torch uses a 9 V battery and dissipates 0.25 W of electrical power in the bulb.
If the torch is used for 1.0 hours then how much charge has passed through the bulb?
Predict whether the entropy change of the system in each of the following is positive or negative.1. O2(g) → 2O(g)2. N2 (g, 10 atm) → N2 (g, 1atm)3. 6CO2(g) + 6H2O(g) → C6H12O6(g) + 6O2(g)4. 2 H2 (g) + O2 (g) → 2 H2O (l)5. NH4Cl (s) → NH3(g) + HCl (g)
) Solve the area bounded by the curve y = 4x-x² and the lines x = -2 and y = 4.
Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.
