It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items. this simple fact suggests that manufacturers should ensure the quality of their products by perfecting their production processes instead of depending on inspection of finished products (deming, 1986). in order to better understand a particular metal stamping process, a manufacturer wishes to estimate the mean length of items produced by the process during the past 24 hours.(give answer to nearest whole number.)a) how many parts should be sampled in order to estimate the population mean to within .1 millimeter (mm) with 90% confidence? previous studies of this machine have indicated that the standard deviation of lengths produced by the stamping operation is about 2mm.

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

where  

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so  

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: