Solve for x.
3x + 2
2x + 6
x = [?]

4

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

a. B) 1.432

              b. E) I and IV

Step-by-step explanation:

a. Margin of error to construct a 99% confidence interval is calculated as

where

t is the critical value expressed as t-score, which comes from t-distribution;

s is sample standard deviation

n is sample size

In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.

The way to find t-score is:

1) Define the degree of freedom, which is sample size minus 1: df = n - 1;

2) Compute alpha: ;

3) Find the critical probability:

With the df and critical probability, consulte the t-distribution table and find the score.

For the cheese filling:

df = 24

p = 0.995

t-score = 2.797

Calculating margin of error:

ME = 1.432

The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.

b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.