probability
and sample space
and sample space
what is probability? How is it written?
Probability is a measure of how likely something is to occur and is written in fractions, decimals, and or percents.
Define interest
Interest is the amount of money paid or earned for the use of money.
Define polynomial
A polynomial is a mathematical expression made up of terms that include: variables, constants, and exponents
what is the formula for area? What is the formula for perimeter? For a rectangle
A= Length x Width
P= 2(length + Width)
What does a matrix consist of?
Rows and columns of numbers surrounded by brackets.
What is sample space? How do you determine it?
Sample space is the set of all possible outcomes of a random experiment or event. The way to determine it is to list every single thing that could happen in a particular situation.
What is the formula for both interest and compound interest?
I=Prt
A=P(1 [+ or -] r/n)^nt
what is a term separated by?
signs like + or -
What is the formula for the area of a triangle? What is the Pythagorean theorem formula?
A= 1/2 base x Height
a^2 + b^2 = c^2
What are the trig functions for right triangles?
Sine
Cosine
Tangent
if you flip a coin 50 times and get heads 40 times what is the experimental probability?
4/5, 0.8, or 80%
If something is Compounded weekly
n=?
n=52
-56x^5 + 4x^2 - 7 + 1 How many variables, coefficient, constants, and terms are there, and what is the degree? (Combine like terms first)
2 variables
2 coefficients
1 constant
3 terms
Degree of 5
The length of a rectangle is 3x + 2 and the width is x - 1.
8x+2
Define this matrix
[ -3 56 6]
[ 7 30 98]
[5 32 10]
(Dimensions)
3x3 matrix
What is the simple space of flipping two coins, having a boy or a girl twins, and drawing 2 cards from for a raffle box numbered one through three?
{HH, HT, TH, TT}
{BB, BG, GB, GG}
(1,2), (1,3), (2,1), (2,3), (3,1), (3,2)
Mrs Jackson deposits $800 in a savings account that earns 5% simple interest per year.
How much interest will she earn in 3 years?
$120
3x^2 + 4x - 7 + 2x^2 - 5x + 9
Simplify
5x^2 - x + 2
The length of a rectangle is 2x + 5 and the width is x + 4.
Write an expression for the area of the rectangle.
2x^2 + 13x + 20
A firefighter needs to find out how far away with the elevation angle of 56 where to place the ladder on a window 120 feet up
The firefighter needs to place the ladder 80.9 feet away.
There are 10 students in a group chat: 4 play sports, 6 don’t.
If 2 students are picked at random to present a project,
what is the probability that both play sports?(in fraction form, simplified)
2/15
Coach Huff invests $1,000 in an account that earns 4% annual interest, compounded weekly.
How much money will he have in the account after 2 years?
(Round your final answer to the nearest cent)
$1,083.28
2x + 3y = 12
X - y = 1
Solve this system
(3,2)
The perimeter of a rectangle is 6x + 14.
If the length is 2x + 1, what is the width?
x + 6
A firefighter, in order to save someone through a window 132 feet up, extends the ladder 235 feet but still needs to figure out the angle of elevation she needs.
34.1 degrees