Paint used to paint lines on roads must reflect enough light to be clearly visible at night. researchers have 2 new types of paints they want to test paint type a and paint type b. for each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. to test each type of paint, they used 15 paint samples. further, suppose the standard deviation is the same for both types of paints. the sample mean for paint type a was 39 and the sample mean for paint type b was 41.5. for both statistical tests, the significance level is set to .05. which of the following is true? if they fail to reject the null hypothesis for paint type a we can conclude there is statistical evidence the average reflectometer for type a paint is 35. the p-value for the type b paint test is smaller. they rejected the null hypothesis for both paint types exactly two of the statements above are true. none are true.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

step-by-step explanation:

a'(12.5,11.25)

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

48+y= ?

the y is the variable and the ? could also be a variable  

i am so sorry , i have no idea but i want points so i won't be a beginner anymore