This is tricky and you need to think about it: have built an urn model for a DNA sequence. I have taken the letters from a sequence 2502 nucleotides ong. The urn contains 428 Adenines, 952 Cytosines, 354 Thymines and 768 Guanines How many start codons will I find on average in the entire sequence when I draw all of the bases from the rn without replacement? (A) a. 111 B) b. 41.4 d. 18.6 D) c. 10.4

As part of a survey, 17 adults were asked, "How many hours did you spend at your job last week?" The results are shown in the stem-and-leaf display belov Use the dispiay to answer the questions that follow. Number of hours worked last week 2|16 3 1466679 4033357 529 Key: 2|1 means 21 hours. (a) What was the highest number of hours worked overall? (b) what was the least number of hours worked in the 40s? (c) How many responses fell in the 30s?

Scientists have found a way to distinguish chronic-fatigue syndrome (CFS) from post-treatment Lyme disease by different proteins in a patient's spinal fluid. In a study of 4334 patients, the results to the right were found. (a) How many had the protein for Lyme only? (b) How many had the normal protein only? (c) How many had none of the proteins? 1654 had the protein for normal patients, CFS, and post-treatment Lyme disease; 1754 had the protein for CFS and Lyme; 820 had the protein for CFS only; 2660 had the protein for CFS; 1759 had the normal protein as well as the one for Lyme; 2625 had the protein for Lyme; 2648 had the normal protein. (a) There were 766 patients who only had the protein for Lyme. (Type a whole number.) (b) There were patients who only had the normal protein. (Type a whole number.)

You are interested in the development of language in bilinguals. You are able to locate five families in the world with 18-month-old toddlers who are learning both Swahili and Vietnamese simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can understand in Vietnamese. The results are listed in the following table: Toddler Number of Words in Vietnamese A 30 86 47 34 E 58 Calculate the variance 2 for this population.

How many numbers have digits which are all ”1”s and ”2”s, and thedigits add up to 8? A few such numbers are 12212, 112121, and 112121. (HINT: breakthe list into cases and count each one. You can count them by hand, but you will savea lot of time if you apply the right formula.)

Write the equation of the function shown below if it is known that f(0) = -18 25 20+ 15 10+ st ↓