A study was done at a large hospital to examine the waiting time in minutes from booking an operation until the patient’s arrival in the operating room. Management considered it important that the waiting time not exceed 12 hours (720 minutes). Data was gathered for 47 consecutive bookings in September 1989. a) The following is a time series plot of this data. Are there any special causes in this data? What action should be taken as a result of this plot?

See image:

i) There is a special cause at time 21. Find out what is different about the conditions at time 21 compared to the other times.

ii) There is a special cause at time 21. Remove this value from the data and replot the time series plot.

iii) There is a special cause at time 21. No follow up is required because the special cause occurred too far in the past to find the reason.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

50-60=10

step-by-step explanation: