2/3(5x-6)=6 solve for x

x=3

Step-by-step explanation:

There's many ways you can begin this, I prefer getting rid of the fraction first.

Multiply both sides by 3/2 (yes, I switched it on purpose)

You get. . .

5x-6 = 9

To isolate the 5x, add 6 to both sides

5x = 15

Divide both sides by 5 and you get . . .

x=3

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;