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Alenkasestr [34]
3 years ago
12

(b)

tle=" {4}{a}^{2} + {b}^{2} " alt=" {4}{a}^{2} + {b}^{2} " align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

 A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2 

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :   (2a + b)  •  (2a - b) 

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liq [111]
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.

This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.  
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The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
                                                                           1.9
                                                                      32 in - 31.2 in
and that to the left of 32 in   is               z = ---------------------- = 0.421
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Know how to use a table of z-scores to find these two areas?  If not, let me know and I'll go over that with you.


My TI-83 calculator provided the following result:

normalcdf(32, 34, 31.2, 1.9) = 0.267  (answer to this sample problem)

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