An article in Lubrication Engineering (December 1990) describes the results of an experiment designed to investigate the effects of carbon material properties on the progression of blisters on carbon face seals. The carbon face seals are used extensively in equipment such as air turbine starters. Five different carbon materials were tested, and the surface roughness was measured. The data are as follows: Carbon
MAterial
Type Surface roughness
EC10 0.50 0.55 0.55 0.36
EC10A 0.31 0.07 0.25 0.18 0.56 0.20
EC4 0.20 0.28 0.12
EC1 0.10 0.16
(a) Does carbon material type have an effect on mean surface roughness? Use a =0.05.
(b) Find the residuals for this experiment. Does a normal probability plot of the residuals indicate any problem with the normality assumption?
(c) Plot the residuals versus yij. Comment on the plot.
(d) Find a 95% confidence interval on the difference between the mean surface roughness between the EC10 and the EC1 carbon grades.

step-by-step explanation:

do you have a copy of the table?

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"