Can you yahoo'ers help me with these please?

Question

19 Which statistical method best represents this set of data? 1,2,5,2,3,7,300,5,3,3

A.) mean B.) median C.) mode D.) standard deviation

#21 Factor completely: 6x^4 - 9x^3 - 36x^2 + 54x

#22 The measure of an interior angle of an equilateral triangle must be ______

A.) 60 degrees B.) 180 degrees C.) 90 degrees D.) 45 degrees

#23 An isosceles triangle has _____ congruent angles.

#24 When studying probability, a method used for counting the number of possible outcomes is a _______.

A.) Tree diagram B.) dependent event C.) Relative frequency D.) Simulation

#25 Solve the following equation. Check your solution:

(square root)r+5 =11

#26 How many ways can a combined 4 be rolled with two standard dice?

#27 Factor the expression: x^2 - x - 42

#28 A florist has 8 flowers to choose from to make a bouquet. In how many different ways can the florist select three of these flowers?

Thank you

Answer 1

19. (D) most likely standard deviation, as you have the 300 which is so far from the rest of your data points, that it throws off your mean, median, and mode.

21. 6x^4 - 9x^3 - 36x^2 + 54x

    3x(2x^3 - 3x^2 - 12x + 18)

    3x[ x^2(2x - 3) - 6 (2x - 3)]

    

     = 3x( x^2 -  6)(2x - 3)

22. A.) 60 degrees

23. two congruent angles

24.  D.) Simulation

25. (r + 5) ^(1/2) = 11,

       so square both sides and you get,

       r + 5 = 121, so r = 121 - 5 = 116

26. 3 ways ( 2 & 2, 1 & 3, and 3 & 1)

27. x^2 - x - 42

     so, x^2 + 6x - 7x - 42

          x(x + 6) - 7(x + 6)

         = (x - 7)(x + 6)

28. 8C3 which is a combination of 8 flowers, with 3 flowers taken at a time

   Use the formula, 8!/5!3! = (8 X 7 X 6 X 5 X 4 X 3 X 2 X1)/(5 X 4 X 3 X 2 X 1)(3 X 2 X 1)

   This all equals (56)(6)/(6) = 56

  

Answer 2

22 The measure of an interior angle of an equilateral triangle must be 60 degrees

#28 A florist has 8 flowers to choose from to make a bouquet. In how many different ways can the florist select three of these flowers?

C(8;3)=8!/(5! 3!)

=56