Math :)

Section 1 Stuff

100

Carl must choose 7 shirts out of 10 to wear during the week, in order. Find the number of possible combinations.  

604,800

200

How many unique three-digit numbers can be made from the numerals 1 to 6, if repetition is allowed?  

216

300

There are 5 types of bread and 8 types of spread. How many possible sandwich combinations can be made with 2 spreads?

140

400

WHO WANTS TO GAMBLE!!!!!!!

you remember how this works (i hope)

500

A garden has 2 rows. The first row has 5 kinds of seeds. The second row has 4 kinds of seeds. In how many ways can the garden be planted?  

1,401,400.

Algebra

100

(𝐴𝑥−𝐵)(𝑥−2)=𝐶𝑥²+4. Find C.

𝐶 = −1.

200

Find the direct formula of a sequence given by 3, -6, 12, -24, 48…  

a_n = 3(-2)^n-1

300

Find the coefficient of the x⁴ term of (𝑥²−2)⁷

−672

400

A radioactive compound has a half-life of 2.3 minutes. How much of a 5g sample of the compound will remain after 9 minutes?

0.332g

500

$35 is deposited into an account each month with an interest rate of 4.8% compounded monthly. Find the amount of money in the account after 5 years.    

2,368.11

Descriptive Statistics

100

What is the mode of {68, 6, 55, 12, 16, 6, 3, 70, 56, 3, 6, 12, 2, 47, 6, 21}

6

200

The mean of {𝑏,2𝑏,3𝑏,4𝑏,…,𝑛𝑏} is 28. What is the median of the data set? 

28

300

The average score on a recent midterm exam was 67% with a standard deviation of 11%. If Lisa got a 97%, what was her z-score for this exam?

2.73

400

Say "Stun Zed" backwards

:)

500

What is the mean of {0, 8, 25, 27, 32, 33, 33, 37, 87, 92} after removing outliers from the data set according to the IQR test for outliers?

27.86

Basic Probability

100

There is a 0.5 probability that A occurs, given B occurred. The probability of both A and B occurring is 0.2. What is the probability of B occurring

0.4

200

A bag contains 3 blue marbles and 6 red marbles. What is the probability of drawing a blue marble given the first marble is blue?

1/4

300

It costs $4 to play a game with a 50% probability of winning back $𝑥 and a 50% probability of winning back nothing. Find 𝑥 such that the game is fair. Hint: A fair game an expected value of 0

8

400

An event has 60% probability of success. What is the standard deviation of the number of successful events given 9 trials? Hint: What type of probability distribution only has fail/success

√(2.16) ≈1.47

500

In a popular MMORPG game, a boss has a 25% chance to drop a special item when defeated. Approximately 85% of players carry a magic talisman that increases the chance to 45%. If a random player defeats the boss, what is the probability that the boss dropped the special item?

42%

!!!!!

100

If the Q3 of a data set is 53 and the interquartile range is 18. What’s the value of Q1?!!!

35!!!

200

Ava rolls three standard six-sided dice independently. Find the probability that the first die is even, the second die is greater than 4, and the third die is a one!!!

1/36!!!

300

WHO WANTS TO GAMBLE!!!!!

you remember how this works (i hope)!!!

400

Gabriella rolls three dice. Find the probability that the dice sum to 12!!!

91/216!!!

500

Approximate the largest element of a data set 𝑋 if the standard deviation of 𝑋 is   σ =6.75 and the smallest element is 14!!!

41!!!