The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount s
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:
This represent an exponential function, because his savings increase by a constant factor of 2.
Step-by-step explanation:
It is given that,
Luis has saved $6 and he doubles the amount each week.
So, the amount saved in the next week = 6×2 = 12
This gives the amount saved in the third week = 12×2 = 24
So, we get the sequence 6, 12, 24, 48,.....
It can be written as, 6×2⁰, 6×2¹, 6×2², 6×2³,.....
So, the sequence in the exponential form , where 'n' is a natural number.
Also, 6, 12, 24, 48,.....
The numbers are increasing by the factor =
Hence, we get,
This represent an exponential function, because his savings increase by a constant factor of 2.