Roll a fair die once. If spot 5 or 6 are observed, you win 2 dollars. If spot 3 or 4 are observed,
you win nothing, and if spot 1 or 2 are
observed, you loss 2 dollars. Let X be the profit
(or loss) of playing the game. Find the standard
deviation ofX
a.
About 1.63 dollars.
b
About 2.33 dollars.
c.
About 2.23 dollars.
d. About - 2.23 dollars.
e.
About 1.33 dollars.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.