The volume of water that goes into the hose is the same as the volume of water that comes out the nozzle. This means the velocity is inversely proportional to the area. The area is proportional to the square of the diameter.
Taken together, these facts mean that if the diameter is divided by a factor of 3, the velocity is multiplied by a factor of 3^2 = 9.
Nozzle velocity = 3^2 * entering velocity
.. = 9 * (4 m/s)
Nozzle velocity = 36 m/s . . . . . . . . . corresponding to selection A
Variable
Step-by-step explanation:
Answer:
Mean of sampling distribution = 25 inches
Standard deviation of sampling distribution = 4 inches
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 25 inches
Standard Deviation, σ = 12 inches
Sample size, n = 9
We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.
a) Mean of the sampling distribution
The best approximator for the mean of the sampling distribution is the population mean itself.
Thus, we can write:

b) Standard deviation of the sampling distribution

Answer:
The number of single-shot espressos sold by the cafe was 49.
Step-by-step explanation:
It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.
Total number of espressos sold by the cafe yesterday afternoon was,
<em>N</em> = 70
The proportion of single-shot espresso sold was, <em>p</em> = 0.70.
Let <em>X</em> = number of single-shot espressos sold.
Compute the number of single-shot espressos sold by the cafe as follows:


Thus, the number of single-shot espressos sold by the cafe was 49.
About 31.16 feet.
You just multiply 9.5 m by 3.28 ft.... but it you need to round it to the nearest feet, it would be 31 ft.
Hope it helps!