Apaint manufacturer made a modification to a paint to speed up its drying time. independent simple random samples of 11 cans of type a (the original paint) and 9 cans of type b (the modified paint) were selected and applied to similar surfaces. the drying times, in hours, were recorded. the summary statistics are as follows. type a type b x1 = 76.3 hrs x2 = 65.1 hrs s1 = 4.5 hrs s2 = 5.1 hrs n1 = 11 n2 = 9 the following 98% confidence interval was obtained for μ1 - μ2, the difference between the mean drying time for paint cans of type a and the mean drying time for paint cans of type b: 4.90 hrs < μ1 - μ2 < 17.50 hrs what does the confidence interval suggest about the population means?

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1