Transcript juggling ball

PERMUTATIONS, COMBINATIONS, PROBABILITY,
AND STATISTICS REVIEW QUESTIONS
1. IN HOW MANY WAYS CAN YOU ARRANGE
6 UNIQUE ITEMS ON A MANTEL.
2. A LOCAL RED CROSS GROUP WANTS TO SEND
4 REPRESENTATIVES TO A DISASTER AREA. HOW
MANY DIFFERENT GROUPS CAN THEY SEND IF THE
MAIN GROUP IS 12 PEOPLE.
3. YOU ORDER A PIZZA AT PIZZA STUDIO WHERE
THERE ARE 4 DIFFERENT TYPES OF CRUST, 2
DIFFERENT SAUCES, 4 TYPES OF CHEESE, 5
VEGETABLE TOPPINGS AND 4 MEAT CHOICES.
ASSUMING THAT YOU CAN ONLY CHOOSE ONE
ITEM FROM EACH CATEGORY, HOW MANY
DIFFERENT PIZZAS CAN YOU ORDER.
4. HOW MANY 5 DIGIT CODES CAN YOU
MAKE WITH THE NUMBERS {1,2,3,4,5,6,7,8,9}?
HOW MANY CODES CAN YOU MAKE
IF YOU CANNOT USE A NUMBER MORE THAN
ONCE?
5. FIND THE NUMBER OF PERMUTATIONS OF
THE LETTERS IN THE WORD MASSACHUSETTS.
6. YOU ROLL A STANDARD DIE AND FLIP A COIN.
WHAT IS THE PROBABILITY THAT YOU WILL GET
HEADS AND A 1 OR 6.
7. A SMALL BOX CONTAINS 8 DIAMONDS
AND 5 EMERALDS OF ROUGHLY THE SAME
SIZES AND SHAPES. A STONE IS PULLED OUT
AND THEN PUT BACK. A SECOND STONE IS PULLED
OUT. WHAT IS THE PROBABILITY THAT THAT THE
FIRST STONE IS A DIAMOND AND THE SECOND
STONE IS AN EMERALD.
8. SUPPOSE THAT 5 CARDS ARE DRAWN FROM A
DECK OF CARDS. WHAT IS THE PROBABILITY THAT
THEY WILL ALL BE HEARTS.
9. A BAG CONTAINS 5 RED JUGGLING BALLS,
3 BLACK JUGGLING BALLS AND 7 WHITE JUGGLING
BALLS. ONE BALL IS DRAWN AT RANDOM AND NOT
REPLACED. WHAT IS THE PROBABILITY THAT THE
FIRST BALL IS WHITE AND THE SECOND BALL IS
BLACK?
10. FIND THE STANDARD DEVIATION OF THE
FOLLOWING SET OF DATA. ROUND TO THE NEAREST
TENTH.
{13, 17, 16, 9, 20, 19, 18}
11. WHAT ARE THE MEAN, MEDIAN, AND MODE
OF THE FOLLOWING DATA SET.
{2, 20, 24, 33,17, 12, 14, 24, 18, 8, 14, 24}
12. GIVEN 𝒇 𝒙 = (𝒙 − 𝟑)𝟐 −𝟒
a. Graph the function
b. Label the vertex
c. Label the axis of symmetry
d. Find the maximum or minimum value of the
Function.
13. SOLVE THE FOLLOWING EQUATION:
x  4  6  1
14. GIVEN THE FUNCTION, SHOW THAT (x+2) IS
A FACTOR AND THEN FACTOR THE POLYNOMIAL
COMPLETELY.
g ( x)  x  11x  14 x  80
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2
15. FIND THE 4TH TERM OF THE EXPANSION OF THE
BINOMIAL:
( x  3 y)
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