Mock CCU Math Jeopardy [Spring], can write stuff out if needed since i dont have image perms lol

Statistics

100

What is the mean of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17?

9

200

Suppose Mr. Shuford was grading papers and the class average was 90 for 7 students (yipee) but then, he stumbles upon the 8th student, who only scored a 58... Calculate the new class average.

86

300

A statistical test for categorical variables which involves setting up tables and comparing expected to observed values

Chi Square-Test

400

This distribution looks a lot like the normal distribution for exceedingly large n.

binomial (distribution)

500

[AP Biology], there are 3 modes/types of selection for a multi-gene phenotype (ie controlled by many genes) such as fur color of a rat, which can be white or black or anything in between. Traditionally, in destabilizing selection, the unimodal distribution of a multi-gene phenotype such as fur color becomes what shape now?

bimodal

Alge(bruh)

100

Find all integer solutions to Sqrt(x²)=3

+-3

200

(x-1)(x³+x²+x+1) =

x⁴-1

300

If x²+y²=196 and x+y=14, compute (x-y)²

196

400

Using the fact that x⁴+4x³+6x²+4x+1 = 9, compute (x+1)¹². 

729

500

This is the sum of the 8 total solutions (including complex numbers) of x⁸=1

0

Mr. Worldwide

100

The country where calculus was first discovered in (2 correct answers possible)

England (Newton), Germany (Leibniz)

200

This country had a mathematician who had the following theorem named after them: a²+b²=c²

Greece

300

This country had a mathematician with the following sequence named after him: 1, 1, 2, 3, 5, 8, 13, etc

Italy (Fibonacci)

400

The country where a number theory algorithm for solving systems of linear congruences emerged.

China (Chinese Remainder Theorem)

500

The country of origin of Laplace, famous for his Laplacian in vector calculus, the Laplace Transformation in differential equations, the Laplace expansion in linear algebra, and even the Laplace demon in philosophy was what?

France

Integration Challenge

100

integrate xdx from x=0 to x=100

5,000

200

Integrate from -301pi to 301pi of sin(x) with respect to x (this is dx)

0

300

Find the area of the region bounded by Sqrt(25-x²) and y=5-x in the xy plane and divide it by 25/4.

pi-2

400

[AP Physics C] Mechanical work in 1 Dimension is the integral from initial position to final position of force with respect to position (this is dx). Force is defined by F=ma where m is mass of the object and a is acceleration. If m=26 and a=13, find the work done on the object from position x=12 to x=22. Disregard units.

3380

500

[Post-AP Physics C][Honors Chemistry] Work on an ideal gas is defined as -1 times the integral from initial volume to final volume of pressure with respect to volume (this is dV). Using the ideal gas equation PV=nRT where P is pressure, V is volume, n is number of moles, R is the ideal gas constant, and T is temperature, calculate work on an ideal gas in terms of R if the gas had 10 moles, the initial volume was 37, the final volume was 39, and the gas temperature was equal to the volume squared. Disregard units.

-760R

Repetitions

100

Simplify (-1)^13,782,387

-1

200

Remember that i is the imaginary number where i=Sqrt(-1). Find i¹³⁷.

i = Sqrt(-1)

300

sin(20pi)+cos(20pi)+sin(18pi)+cos(18pi)+sin(16pi)+cos(16pi)...+sin(0pi)+cos(0pi)=

11

400

Solve for u if u is the positive solution to the infinite tower of fractions that is 2-1/(2-1/(2-1/(2-1/(2-1...

1

500

Evaluate the infinite fraction expansion 1+1/(1+1/(1+1/(1+1/...

(1+Sqrt(5))/2