Some fast-food chains offer a lower-priced combination meal in an effort to attract budget-conscious customers. One chain test-marketed a burger, fries, and a drink combination for $1.71. The weekly sales volume for these meals was impressive. Suppose the chain wants to estimate the average amount its customers spent on a meal at their restaurant while this combination offer was in effect. An analyst gathers data from 28 randomly selected customers. The following data represent the sample meal totals.
$ 3.21, 5.40, 3.50, 4.39, 5.60, 8.65, 5.02, 4.20, 1.25, 7.64, 3.28, 5.75, 3.26, 3.80, 5.46, 9.87, 4.67, 5.86, 3.73, 4.08 5.47, 4.49, 5.19, 5.82, 7.62, 4.83, 8.42, 9.10 Use the data to construct a 90% confidence interval to estimate the population mean value. Assume the amounts spent are normally distributes.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

the equation of the line that passes through the points and has o form

if line passes through the points (-1, -3) and (2, 1), then

the equation in the standard form is