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MakcuM [25]
4 years ago
8

DUE NOW

Mathematics
1 answer:
Llana [10]4 years ago
3 0

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 ,  25

Step-by-step explanation:

Given data

               allowance        No allowance          total

Chores         13                   3                          16

<u>No chores      5                   4                           9</u>

<u>Total              18                   7                            25</u>

<u><em>Relative frequencies</em></u>

               allowance          No allowance                  total

Chores         \frac{13}{16} = 0.8125     \frac{3}{16} = 0.1875                       16

No chores      \frac{5}{9} = 0.555      \frac{4}{9} = 0.444                            9

Total  <u>            18                   7                                   25</u>

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Given the figure below, find the values of x and z.
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The volume of a refrigerator is x^3-3x^2-16x-12.It's the height x+2.What are the other two dimensions?
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Answer:

the other two dimensions are (x + 1) and  (x - 6)

Step-by-step explanation:

Given;

Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12

factor of the function as height of the refrigerator, = x + 2

Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;

                           x²  - 5x - 6

                          --------------------------------------

            x + 2  √ x³ - 3x²- 16x - 12

                      -  (x³  + 2x²)

                         ------------------------------

                                 -5x² - 16x - 12

                              -  (-5x² - 10x)

                         -------------------------------

                                           -6x - 12

                                         - (-6x - 12)

                         --------------------------------------

                                                 0

Factorize the quotient ( x²  - 5x - 6);

x²  - 5x - 6 =   x²  + x  -6x - 6

                  =   x (x + 1) - 6( x + 1)

                  = (x + 1) (x - 6)

Thus, the other two dimensions are (x + 1) and  (x - 6)

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