Name______Date______
Final Exam Review Day 4
Formula: Probabilty= number of favorable outcomestotal number of possible outcomes
1.) You have a bag of marbles with 6 blue marbles, 4 red marbles and 2 purple marbles.
a.) If you blindly reach your hand into the bag, what is the probability that you will pull out a blue marble?
b.) If you blindly reach your hand into the bag, what is the probability that you will pull out a red marble?
c.) If you blindly reach your hand into the bag, what is the probability that you will pull out a blue or a purple marble?
d.) If you blindly reach your hand into the bag, what is the probability that you will pull out a red or blue marble?
Independent Probability / Dependent ProbabilityWITH replacement / WITHOUT replacement
KEY WORDS:
replaced
put back
returned / KEY WORDS:
did not replace
took out
2.) A bag contains 3 blue marbles and 5 red marbles.
a.) Find the probability of drawing 2 blue marbles in a row with replacing after the first marble is picked. (Independent or Dependent)
b.) Find the probability of drawing two red marbles in a row, without replacing.
(Independent or Dependent)
3.) A toy bin contains 12 toys, 8 stuffed animals, and 3 board games. Marsha randomly chooses 2 items for the child she is babysitting. What is the probability that she chooses 2 stuffed animals as the first two choices?
4.) A basket contains 6 apples, 5 bananas, 4 oranges, and 5 peaches. Drew randomly chooses on piece of fruit, eats it, and chooses another. What is the probability that he chose a banana and then an apple?
5.) Joanna needs a book to prop up a table leg. She randomly selects a book, puts it back on the shelf, and selects another book. If there were 5 history books and 3 math books, what is the probability that Joanna picked 2 math books?
6.) If a = 12 inches, b = 7 inches, and c = 7 inches, find the exact value of d.
7.) Consider the cone below. a.) Find the height of the cone
b.) Find the volume of the cone. Keep in terms of pi.
8.) a. Write a simplified expression to represent the volume of the rectangular prism.
b. Find a simplified expression for the volume if each dimension is doubled.
c. Find the volume BOTH prisms (the prism from (a) and the prism from (b)) if x=6.
d. How much larger is the new prism (from (b)) than the original prism (from (a))?
9.) Solve using the Zero Product Property: 6x2+13x-5=0
10.) Simplify each polynomial
a.) 6x2+5x-4+(6x-10)
b.) 18x4(-2x2+5x-12)
c.) 11y+8-(-3y-14)
11.) State the axis of symmetry, the vertex, and the y-intercept of the quadratic function. Then graph it and state the domain and range.
-2x2+4x-5=y
Axis of symmetry:
Vertex:
y-intercept:
Domain:
Range: