Math

Question 1

Math

What percentage of results will fall within 1 standard deviation in a normal distribution?

Answer 1

68%

Question 2

Math

What percentage of results will fall within 2 standard deviations in a normal distribution?

Answer 2

95%

Question 3

Math

What percentage of results will fall within 3 standard deviations in a normal distribution?

Answer 3

99.7%

Question 4

Math

If I create a two-word sentence and have ten words available as options for each word, how many sentences can I create?

What about a three-word sentence?

Four?

Twenty?

Answer 4

Two-word sentence: 100 (i.e. 10²)

Three-word sentence: 1,000 (i.e. 10³)

Four-word sentence: 10,000 (i.e. 10⁴)

Twenty-word sentence: 10²⁰

(Key point: The number of options is the base and the number of times you choose from the options is the exponent.)

Question 5

Math

You have three codons and four options for each one as to which amino acid is represented.

Which number (3 or 4) is the base? Which number is the exponent?

Answer 5

Base: 4

Exponent: 3

Answer: 4³ (giving you a total of 64 possible combinations)

(Key point: The set number of options is the base and the number of times you choose from the options is the exponent.)

Question 6

Math

What mnemonic is useful in determining angles using the relationships between sine, cosine, and tangent?

Answer 6

SohCahToa

Question 7

Math

The SohCahToa method (using Sine, cosine, and tangent) is only useful in determining angles in what kind(s) of triangle?

Answer 7

A right triangle

Question 8

Math

What is the equation for finding a slope intercept?

Answer 8

y = mx + b

Question 9

Math

What is Pi (π)?

Answer 9

The ratio of a circle’s circumference to its diameter

Question 10

Math

What is the equation for calculating the circumference of a circle?

Answer 10

Circumference = π * diameter

Question 11

Math

What is the equation for calculating the area of a circle?

Answer 11

S = πr²

Question 12

Math

What is the equation for calculating the surface area of a sphere?

Answer 12

S = 4πr²

Question 13

Math

What is the equation for calculating the volume of a sphere?

Answer 13

V = 4/3πr³

Question 14

Math

What is a factorial (!)?

(e.g. 5!)

Answer 14

Each number ≤ multiplied together

(e.g. 5! = 5 x 4 x 3 x 2 x 1 = 120)

Question 15

Math

What are the three numbers associated with the summation symbol?

(above, below, and to the right)

Answer 15

Above = upper limit

Below = lower limit

To the right = the expression being summed over

Question 16

Math

What is the equation for a line?

Answer 16

Y = mx + b

Question 17

Math

What do the m and b in y = mx + b stand for?

Answer 17

m = slope

b = y-intercept

Question 18

Math

What number does the symbol e stand for? (what would e^3 equal?)

Answer 18

2.72 (e^3 = 20.085)

Question 19

Math

How can e^3 also be written?

Answer 19

Exp(3)

Question 20

Math

What is a number to the 0th exponent (e.g. 5^0)

Answer 20

1

Question 21

Math

What is a number to a negative exponent (e.g. 5^-2)

Answer 21

The inverse (1 / 5^2)

Question 22

Math

What is the inverse of the exponential function?

Answer 22

Natural log

Question 23

Math

What can be done to ln(x) to get x on its own?

Answer 23

e ^ ln(x)

Question 24

Math

To what is the log of 1 equal?

Answer 24

0

Question 25

Math

To what is the log of 0 equal?

Answer 25

Undefined

Question 26

Math

To what is the log of a negative number equal?

Answer 26

An imaginary number

Question 27

Math

The top number in a fraction is the ___________ and the bottom number is the ___________.

Answer 27

The top number in a fraction is the numerator** and the bottom number is the **denominator.