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Which of the following substances exist as cis- trans isomers? Draw both isomers for those that do.



A. 3- heptene


B. 2- methyl- 2-hexene


C. 5-methyl -2- hexene

Explain one way in which the resolution of cold war tensions between the us and the ussr impacted other states?

Draw structure corresponding to the following UIPAC names:



A. 3- methyl - 1- heptane


B. 4,4- dimethyl - 2- pentyne


C. 2- methyl- 3- hexane


D. 2,2,3- trimethyl- 3- hexane

A shipment of 20 cameras includes 3 that are defective. What is the minimum number of cameras that must be selected if we require that P(at least 1 defective)≥ .8?

A warehouse contains ten printing machines, four of which are defective. A company selects five of the machines at random, thinking all are in working condition. What is the probability that all five of the machines are nondefective?

An urn contains ten marbles, of which five are green, two are blue, and three are red. Three marbles are to be drawn from the urn, one at a time without replacement. What is the probability that all three marbles drawn will be green?

At 22∘C,an excess amount of a generic metal hydroxide, M(OH)2, is mixed with pure water. The resulting equilibrium solution has a pH of 10.16. What is the 𝐾sp of the salt at 22∘C?




Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head?

An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2.



(a) What is the probability that the third hole drilled is the first to yield a productive well?



(b) If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?

Select a primary school story or a topic from one of the primary syllabus documents, or a typical village activity.


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