11. Write an equation of the line in slope-intercept form.
1 answer:
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Answer:
Q1 a) 0.9545
b) 0.02275
c) 0.97725
Q2 z is approximately equal to -1.466
Step-by-step explanation:
Q1 The given information are;
The mean time to commute to work = 24.4 minutes
The standard deviation = 6.5 minutes
a) The z-score for 11.4 is given as follows;
Where;
x = Observed value 11.4
μ = The mean = 24.4 minutes
σ = The standard deviation = 6.5 minutes
The z-score for 37.4 is given as follows;
-2 < z < 2, which gives, from the z-score table;
The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545
b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275
c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725
Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;
Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
.... (1)
Case 1: If he receives $12.
.... (2)
On combining equation (1) and (2), we get
Subtract 42.80 from both sides.
It can be written as
Therefore first option is correct.