10. Given that an arithmetic sequence has a sixth term equal to 27, and the sum of the first twelve terms is equal to 504, determine: a.) the first term and the common difference for the arithmetic sequence. b.) the 8th term. c.) the sum of the first seventeen terms. d.) n, if t₂ = 357.

Please answer the questions carefully to get the correct answers.

It is harder to get into graduate programs in psychology or history? We randomly selected five institutions from among all U.S. institutions with graduate programs. The first number for each is the minimum GPA for applicants to the psychology doctoral program, and the second is for applicants to the history doctoral program. These GPAs were posted on the website of the well-known college guide company Peterson's.    Wayne State University: 3.0, 2.75 University of Iowa: 3.0, 3.0 University of Nevada-Reno: 3.0, 2.75 George Washington University: 3.0, 3.0 University of Wyoming: 3.0, 3.0   1. The participants are not people, explain why it is appropriate to use a paired-samples t test for this situation.

1.) Write a SAS program to read in the text file called adults. Run the program, print the data, and copy and paste your results as your answer.

Use the Venn diagram to answer the question. In 2016, among the top 100 grossing movies in a particular country, 12 were rated PG-13 and earned over $100 million. The number of movies that were rated PG-13 that earned less than $100 million was 34. The number of movies that were not rated PG-13 that earned less than $100 million was 31. What was the number of movies that earned over $100 million and that were not rated PG-13? The number of movies that earned over $100 million and were not rated PG-13 was (Type a whole number.) ▪▪▪ U P E D 2

Please reflect on which aspects of the topics you best & worse understood. Also describe how the topics in EACH part apply (or do not apply) to an application of your choice. Maybe a short paper, essay, etcTo be clear, the format can be like:1) Describe what topics were your strengths. Explain2) Describe what topics were your weakest. Explain3) Find an area (science/ engineering/ math/ etc...) of your interest where these topics may apply. Explain how they apply or do not apply

Kerry was given 10 numbers that had a sum of 330 and was asked to find the mode. She was told that the mode occurred 4 times in the set of numbers and the sum of the rest of numbers was 174. What number was the mode in the data set?

is the answer not one of the multiple choice questions?