Find the t-value(s) for each of the following cases. round your answers to 3 decimals places. enter negative values as negative number. a. upper tail area of .025 with 12 degrees of freedom is b. lower tail area of .005 with 55 degrees of freedom is c. upper tail area of .01 with 30 degrees of freedom is d. where 98% of the area falls between these two t-values with 25 degrees of freedom e. where 95% of the area falls between these two t-values with 45 degrees of freedom

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answer: the answer is ann

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