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The correct development of the sense of smell is controlled by the action of two genes, A and M; the absence of at least one dominant allele for each of the two genes causes insensitivity to odors in the unborn child. What is the probability that the first child of the following couple will be affected by this disorder?

AaMm X AAmm

to. 0%

b. 12.5% c. 25% d. 50%


create a console application to test usage of switch case construct. Accept some integer from user as command line argument and using a switch case construct

f(x,y)= -(x2-1)2-(x2y-x-1)2

Find the critical points of f (x, y) and Using the Second Partials Test (SPT), find the relative extrema’s of f (x ,y)


  1. The 0.0005 mol/l K3[Fe(CN)6] solution was used for determination of a coagulation threshold of a sol. The minimal amount of the solution required for the coagulation of 9 ml of the sol was found to be 1 ml. Calculate the coagulation threshold of the sol.

A random sample of ten measurements were obtained from a normally

distributed population wit mean μ = 8.5. The sample values are x̄= 6.2 and s=4

a. Test the null hypothesis that the mean of the population is 8.5 against the

alternative hypothesis, μ <8.5. Use α =0.05.


A rectangle ABCD which measures 18 by 24 units is folded once, perpendicular to



diagonal AC, so that the opposite vertices A and C coincide. Find the length of the fold.





The neutralization reaction between hydrochloric acid (HCI) and calcium hydroxide [Ca(OH)2] produces calcium chloride )CaCl2) and water.


2hCl(aq) + Ca(OH)2(s) 🠖 2H2O(l) + CaCl2(aq)


If 0.75 grams of Ca(OH)2 is used in the reaction, determine the following:


a. Mass of HCl (MW=36.64 g/mol)needed to completely react with Ca(OH)2. The molar mass of Ca(OH)2 is 74.10 g/mol.


b. Mass of CaCl2 is (MW=110.98 g/mol) formed in the reaction.



What mass of oxygen will react with 7.75g of P4?

What mass of Al(OH)3 is produced if 22.7g of NaOH is consumed?

A class in advanced physics is composed of 10

juniors, 30 seniors, and 10 graduate students. The final

grades show that 3 of the juniors, 10 of the seniors, and

5 of the graduate students received an A for the course.

If a student is chosen at random from this class and is

found to have earned an A, what is the


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