Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Answers:
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Explanation:
By definition,
Squaring both sides gets us
Then multiply both sides by i to get
Repeat the last step and you should get
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Notice we have this pattern going on:
Once we reach i^4, we start the process over again.
It repeats every 4 terms.
This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.
157/4 = 39 remainder 1
That remainder 1 is the exponent of the simplified term
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Similarly,
315/4 = 78 remainder 3
So
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102/4 = 25 remainder 2
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76/4 = 19 remainder 0
This boils down to simple algebraic manipulation.
So one possible ODE (the simplest, in fact) is