Abank manager wants to determine the percent of time that tellers are working and idle. she decides to use work sampling, and her initial estimate is that the tellers are idle 15% percent of the time. how many observations should the manager take in order to be 95.45 percent confident that the results will not be more than 4% percent away from the true result?

Number of  observation = 3.187

Step-by-step explanation:

Given data:

Total percent of time during which teller sit idle 15%

confident interval is given as 95.45%

percent of accuracy  4%

Number of observation taken by manager to be sure about 95.45% is calculated as

Putting all value to get observation value

Number of  observation = 3.187

(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

if farmer matt works for 8 hours a day, how many days will it take him to completely plant 12 rows of crops? each batch of cookies needs 3/4 cups of sugar.

step-by-step explanation: