Xavier drove for 30 minutes, then spent 2 hours shopping, then drove for 15 minutes and stopped at a friend's house for 1 hour.
The total distance he traveled by car is a function of time. Which graph most accurately represents this scenario?
2 answers:
The <span>graph most accurately represents this scenario is the graph that started at (0,0) and goes up diagonally upward to a point ( 0.5 hr, y1). then goes horizontally straight for 2 hours because it does not travel just shopping (2.5, y1). then another diagonally upward to (2.75, y2). then another horizontal for 1 hr. (3.75, y2)</span>
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Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value =
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359