Mean: 
Standard deviation:
Standard deviation:
A standard interior staircase has steps each with a rise (height) of 21 cm and a run (horizontal depth) of 24 cm. Research sugge
1 answer:
Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:
To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
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but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that
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for all 
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Now, the solution was proposed to be
so the general solution would be
which indeed gives the recurrence you found,
but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that
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and so on, such that
Finally, the quadratic term gives
and so on, such that
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Now, the solution was proposed to be
so the general solution would be