2 1/2, 3, 3 1/2, 4, 4 1/2, 5
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Answer: 135 days
Step-by-step explanation:
Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 21 minutes
σ = 3.5 minutes
the probability that her commute would be between 19 and 26 minutes is expressed as
P(19 ≤ x ≤ 26)
For (19 ≤ x),
z = (19 - 21)/3.5 = - 0.57
Looking at the normal distribution table, the probability corresponding to the z score is 0.28
For (x ≤ 26),
z = (26 - 21)/3.5 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.92
Therefore,
P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64
The number of times that her commute would be between 19 and 26 minutes is
0.64 × 211 = 135 days
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And others if ur searching for
Using prime notation, the new coordinates after translation are;
<em>New coordinates;</em>
A': (-1, 1)
B': (-1, -2)
C': (3, -2)
D': (3, 2)
- From the attached image, we can see that the coordinates are;
A(-6, 5)
B(-6, 2)
C(-2, 2)
D(-2, 6)
- Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
- In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.
- Applying these translation numbers to our coordinates, we will now have;
A(-6 + 5, 5 - 4)
B(-6 + 5, 2 - 4)
C(-2 + 5, 2 - 4)
D(-2 + 5, 6 - 4)
Simplifying each of them gives us the new coordinates as;
A: (-1, 1)
B: (-1, -2)
C: (3, -2)
D: (3, 2)
Read more at; brainly.com/question/4726090