Set Fundamentals
What is the definition for the set of fundamentals?
It is a theorem which is considered to be central and conceptually important for some topic.
What does Surface area and Volume mean?
What does Perimeter and area mean?
Finding a way to add the sides of a specific shape that is then helps you find the length of a shape and it gives you the are and perimeter. But each shapes has a specific formual.
What does probability mean?
how likely something is to happen.
Define All real numbers and give an example of it, and what letter represents it.
All the numbers on the number line including rational and irrational numbers.The letter that represents it is an R. Examples would be, -5, 9, 0
Define a Right triangle and its properties.
One angel is always right angel, the side opposite angle 90 is the hypotenuse, the hypotenuse is always the longest side, the sum of the other two interior angles is equal to 90, the other two sides adjacent to the right angle are called base and perpendicular.
Define Rational Numbers. Give examples of it and identify what letter represents it.
Any number that can be written as a fraction with integers is what is called a rational number. the letter that represents it is a Q. Examples are; -17 and 34
Define an obtuse triangle and its properties
The longest side of the triangle is the side opposite to the obtuse angle, a triangle cannot have more than one obtuse angle, the sum of the other two angles in an obtuse triangle is always smaller than 90 degrees.
What is the formula for Conditional Probability?
P (A/B)
If the left side of a venn diagram has numbers 1 and 2 and the right side has 5 and 7. But the middle has number 3. What are the Elements of the B side?
3, 5, 7
what formula do you use to calculate the sphere volume
V = (4/3)πr.
Write the solution set of the equation x2 – 4=0 in roster form.
x2 – 4 = x2 – 22 = (x-2) (x+2)
{-2,2}
What is the formula to find the area of a Rectangle
length x width
If A and B are independent events with P(A) = 0.74 and P(B) = 0.32, what is P(B|A)?
0.32
What does the Basic set theory mean?
Sets are well-determined collections that are completely characterized by their elements. Thus, two sets are equal if and only if they have exactly the same elements. The basic relation in set theory is that of elementhood, or membership.
A concrete beam is to rest on two concrete pillars. The beam is a cuboid with sides of length 0.5m, 3m and 0.4m. The pillars have diameter 0.4m and height 2m. Calculate the total volume of concrete needed to make the beam and the pillars. Round your answer to a sensible level of accuracy.
Write an example of a finite and infinite set in set builder form.
Finite set; A = {x : x ∈ N and (x – 1) (x –2) = 0}
Infinite set; B = {x : x ∈ N and x is prime}
If the numerical value of circumference and area of a circle are equal, then the radius is equal to
2 units
If P(A) = 0.28, P(B) = 0.66, and P(A AND B) = 0.47, are A and B independent events? Why or why not?
28 X .66 = .19 so therefore A and B can't be independent events because they are not equal to .47
Use written description and the roster method to list the set I for integers of negative integers greater than -15.
-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2,
Find the surface are and volume if the rectangular shape has; height= 2in length= 13in width= 9in
SA = 322
V = 234
In a survey of college students, 62 had taken mathematics courses, 92 had taken chemistry courses, 54 had taken physics courses, 24 had taken mathematics and physics, 22 had taken mathematics and chemistry, 20 had taken chemistry and physics courses, and 12 had taken all the three courses. Find how many had taken one course only.
= 28 + 62 + 60 = 152 students take only one course.
find the perimeter and the area of a trapezoid when its width is 15 and length is 7
P= 15 + 12 + 7 = 34
A = 12 + 15 = 27 divided by 2 = 13.5 X 5.22 = 70.47
Out of 300 students in a school, 95 play tennis, 120 play soccer only, 80 play golf only and 5 play no games. If one student is chosen at random, find the probability that
if he plays golf it is 4/15
if he plays either golf or tennis is 7/12
if he plays neither soccer nor tennis it is 1/3