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Lab Assignment Part B - Recurrence Intervals Data from the chart below was collected at the...

Lab Assignment

Part B - Recurrence Intervals

Data from the chart below was collected at the USGS site and includes the 20 largest discharge events for Sweetwater Creek at station 02337000 from January 1, 2008 through May 1, 2015, excluding the dramatic 2009 flood (we will learn more about that later). In order to create a flood-frequency graph, you must first calculate the recurrence interval (one is calculated below as an example). A recurrence interval refers to the average time period within which a given flood event will be equaled or exceeded once. To calculate it, first evaluate the rank of the flood, with a “1” going to the highest discharge event and a “20” going to the lowest discharge event. Calculate the recurrence interval using the following equation:

RI = (n+1) ÷ m

where, RI = Recurrence Interval (years)

n = number of years of records (in this case, 8)

m = rank of flood. Peak Discharge Date

Discharge

(cubic ft/sec = cfs)

Rank

Recurrence Interval

(years)

08/27/2008

5,140

03/02/2009

2,360

10/13/2009

3,290

11/12/2009

6,120

1

9

12/03/2009

2,860

12/10/2009

2,170

12/19/2009

3,830

12/26/2009

2,650

01/25/2010

2,500

02/06/2010

3,680

03/12/2010

3,600

03/10/2011

2,350

04/17/2011

3,100

02/24/2013

2,060

02/27/2013

2,190

05/06/2013

3,610

12/23/2013

3,790

04/08/2014

4,170

01/05/2015

3,970

04/20/2015

2,940

In: Advanced Math

I am having a hard time writing these SQL queries. Please specify the following queries in...

I am having a hard time writing these SQL queries. Please specify the following queries in SQL on the database schema shown in the figure below.

STUDENT
Name StudentNumber Class Major
Smith 17 1 CS
Brown 8 2 CS
Kathy 15 1 EE
COURSE
CourseName CourseNumber CreditHours Department
Intro to Computer Science CSE110 4 CS
Data Structures CSE205 4 CS
Discrete Mathematics MAT240 3 MATH
Databases CSE380 3 CS
Analog Circuits EE260 3 EE
SECTION
SectionIdentifier CourseNumber Semester Year Instructor
85 MAT240 Fall 2010 King
92 CSE110 Fall 2010 Chang
102 CSE205 Spring 2011 King
112 MAT240 Fall 2011 Chang
119 CSE110 Fall 2011 Anderson
135 CSE380 Fall 2011 Stone
146 EE260 Fall 2011 James
GRADE REPORT
StudentNumber SectionIdentifier Grade
17 112 B
17 119 C
8 85 A
8 92 A
8 102 B
8 135 A
15 146 A
PREREQUISITE
CourseNumber PreRequisiteNumber
CSE380 CSE205
CSE380 MAT240
CSE205 CSE110
EE260 MAT240

1) Retrieve the course names of all courses with the number of credit hours as 4

2) Retrieve the names of all courses and their respective departments taught by professor Chang in 2010 and 2011

3) For each section taught by Professor King, retrieve the course number, semester, year, and the number of students who took the section

4) Retrieve the name and transcript of each freshman student (Class=1) majoring in EE. Transcript includes course name, course number, credit hours, semester, year, and grade for each course completed by the student

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b. The government raising government expenditures and taxes by the same amount.

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Let G = Z x Z and H = {(a, b) in Z x Z |...

Let G = Z x Z and H = {(a, b) in Z x Z | 8 divides a+b}

a. Prove directly that H is a normal subgroup in G (use the fact that closed under composition and inverses)

b. Prove that G/H is isomorphic to Z8.

c. What is the index of [G : H]?

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