Mathematics: D= miles at a speed. r = miles per hour. equation: t = 0.5 + d/r question: if they average 50 miles per hour, how long did it take the doyles to travel 240 miles? show work and explain. a) 4.7 hours b) 4.8 hours c) 4.9 hours d) 5.3 hours

D= miles at a speed. r = miles per hour. equation:

Ответ:

hannahs1313

03.12.2021

Mathematics

The one-step transition matrix is:

$\left[\begin{array}{cccc}0.70&0.15&0&0.15\\0&0.90&0&0.10\\0&0&0.95&0.05\\0&0&0&1\end{array}\right]$

Step-by-step explanation:

We have 4 states for a the employees:

Apprentice (A)Machinist (M)Mastet machinist (MM)Out of the company (O)

Of the apprentices (A), 15% are promoted each year to machinists (M) and 15% leave the company (O). Then, 60% of the apprentices stay in the same job.

Of the machinists (M), 10% leave the company (O), so 90% stay as machinists.

Of the master machinists (MM), 5% leave the company (O), so 95% stay as master machinists.

The transition matrix can be written as:

$\left|\begin{array}{ccccc}&A&M&MM&O\\A&0.70&0.15&0&0.15\\M&0&0.90&0&0.10\\MM&0&0&0.95&0.05\\O&0&0&0&1\end{array}\right|$

We can calculate the future step from the actual state as:

$[\begin{array}{cccc}200 &250& 50& 0\end{array}]*\left[\begin{array}{cccc}0.70&0.15&0&0.15\\0&0.90&0&0.10\\0&0&0.95&0.05\\0&0&0&1\end{array}\right]=[\begin{array}{cccc}140 &255& 47.5& 57.5\end{array}]$

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D= miles at a speed. r = miles per hour.
equation: t = 0.5 + d/r
question: if they average 50 miles per hour, how long did it take the doyles to travel 240 miles? show work and explain.
a) 4.7 hours
b) 4.8 hours
c) 4.9 hours
d) 5.3 hours

Ответ:

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