An incoming airplane is x miles due north from the control tower at an airport. A second incoming airplane is y miles due east o
f the same control tower. The shortest distance between the two airplanes is z miles.
Which of the following functions would best model the situation above?
A.
cube root
B.
square root
C.
piecewise
D.
step
Which of the following functions would best model the situation above?
A.
cube root
B.
square root
C.
piecewise
D.
step
2 answers:
Answer:
Option B. square root
Step-by-step explanation:
An incoming airplane is x miles due North at A from the control tower and a second airplane is y miles East at B of the same control tower.
The shortest distance between the two airplanes is z miles.
By Pythagoras Theorem
z² = x² + y²
z = √(x² + y²)
So function which models the situation best is "square root".
Therefore, option B. square root is the answer.
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Answer:
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5 ml
Standard Deviation, σ = 0.4 ml
We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.
Formula:
P(paint cans contain less than 5.54 ml of the dye)
Calculation the value from standard normal z table, we have,
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.