A study of 4,430 U. S. adults found that 2,913 were obese or overweight. The 95% confidence interval for the proportion of adults in U. S. who are obese or overweight is .

(0.646, 0.669)

(0.644, 0.672)

(0.639, 0.676)

(0.650, 0.665)

We ar confident that the true proportion of people in US who are obes is between 0.644 and 0.672

And the best option is given by:

(0.644, 0.672)

Step-by-step explanation:

For this case we can begin calculating the proportion of people overweight with this formula:

The confidence level is 95% , and the significance level would be given by and . And the critical value would be given by:

The confidence interval for the mean is given by the following formula:  

Replacing the info given we got:

We ar confident that the true proportion of people in US who are obes is between 0.644 and 0.672

And the best option is given by:

(0.644, 0.672)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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