Which of the following is equivalent to the expression below? 42^x/6^x

a.48^x
b.7^x
c.36^x
d.7

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr