The time for an operator to complete a task is normally distributed with a mean of 9.5 minutes and a standard deviation of 0.6 minutes. the production order for the day requires this task be completed 47 times. a) determine the probability distribution for the total time to complete all 47 tasks. give the name of the distribution and its parameter(s). b) the production manager has promised this job will be complete at the end of the day. what is the probability the operator does not complete all 47 tasks by the end of the day? assume a work day is 7.5 hours accounting for breaks. c) the operations manager disagrees with the production manager. she believes the time to complete the task is better modeled with the 2-parameter weibull distribution with  = 111.5 and  = 449.2 mins. now what is the probability the operator does not complete all 47 tasks by the end of the day?

3rd box is the answer

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: