1. in a two-tail test for the population mean, if we decided in favor of the alternative hypothesis when the null hypothesis is false, a. a correct decision is made b. a type ii error is made c. a one-tail test should be used instead of a two-tail test d. a type i error is made in a one-tail test for the population mean, 2. if we decide in favor of the null hypothesis when the alternative hypothesis is true, a. a two-tail test should be used instead of a one-tail test b. no error has been made c. a type i error is committed d. a type ii error is committed

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

where is the graph, sweetheart?

step-by-step explanation:

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

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