1. these data show the ring sizes for a sample of 8 men 11.5 12 12 9.5 10.5 9 11 10.5 what is the best approximation of the standard deviation for the ring data? a. 1.10 b. 10.75 c. 11.75 d. 1.03 2. what transformation is used on data set 1 to produce data set 2 data set: 98 102 99 91 112 101 88 data set: 0.98 1.02 0.99 0.91 1.12 1.01 0.88 a. multiply data set 1 by 10 b. multiply data set 1 by 100 c. divide data set 1 by 100 d. divide data set 1 by 10

number one is a and   number 2 is c

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.