6. The makers of a specialty brand of bottled water claim that their "mini" bottles contain 8 ounces of water. To investigate this claim, a consumer advocate randomly selected a sample of 10 bottles and carefully measured the
amount of water in each bottle. The mean volume was 7.98 ounces and the 95% confidence interval for true mean
volume is 7.93 to 8.03 ounces. Based on the sample, which of the following conclusions best addresses the
makers' claim?
a. Because 7.98 is in the interval, there is convincing evidence that their claim
is correct
b. Because 7.98 is in the interval, there is not convincing evidence that their
claim is incorrect.
c. Because 8 is in the interval, there is convincing evidence that their claim is
correct
d. Because 8 is in the interval, there is not convincing evidence that their claim
is incorrect
e. Because is not the interval, there is convincing evidence that their claim is
incorrect

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

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.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

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step-by-step explanation:

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