Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.25 mile she bikes. If Emily bikes 6 miles, ho
1 answer:
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Answer:
a) 135 minutes
b) 15
c) 0.5
d) 0.3707
Step-by-step explanation:
A) What is the distribution's mean
mean(m) = (120 + 150)/2 = 270/2 = 135 minutes
B) What is the distribution's standard deviation
standard deviation(s)
s = 15
C) What is the probability that a flight is less than 135 minutes
firstly calculate z score
z score = (x - m)/s = (135 - 135)/15 = 0
P(x<135) = z(0) = 0.5
D) What is the probability that a flight is more than 140 minutes?
z score = (x - m)/s = (140 - 135)/15 = 0.33
P(x>140) = 1 - P(x<140) = 1 - 0.6293 = 0.3707
Answer:
B
Step-by-step explanation:
There isn't any number that x can't be. Start with a graph to show how this could be so.
It is easy to see that x > 0 gives a line that goes very near the x axis. It is not quite so easy to see that it never touches the x axis. But if you recreate the graph in Desmos, you will see that is true if you spread the x's out.
It is not quite so easy to see that when x<0 the graph tips upward very quickly but again if you move the values of the axis around you will see there is no value that x cannot be.
