E. Using the test-statistic value , solve the problem below. Use the five steps method in writing the answer completely. For numbers 41 to 45: The cashier of a fast- food restaurant claims that the average amount spent by the customers for dinner is ₱120.00. A sample of 50 customers over a month period was randomly selected and it was found out that the average amount spent for dinner was ₱122.50. Using a 0.05 level of significance, can It be concluded that the average amount spent by customer is more than ₱120.00? Assume that the population standard deviation is ₱6.50. For numbers 46 to 50: It is claimed that the average weigh of babies at birth is 3.4 kg. The average weight of a random sample a of 30 newly born babies was determined. It was found out that the average weight was 3.1 kg. Is there reason to believe that the average weigh of babies is not 3.4 kg? Assume that the population standard deviation is 1.1 kg . Use 0.05 level of significance.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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