How to solve I can’t do it
1 answer:
Answer:
10.94
Step-by-step explanation:
The standard deviation is calculated by using the following formula:
This means that N is the total number of cases you want to take into account, times the sum of x at the ith position - x squared.
In other words, the standard deviation in your example implies the following:
26 is the first value, so i = 1, 34 is the second value, so i = 2, 18 where i = 3, and so on and so forth, until you reach the end, which is 6 (so the initial value is 1 and the last one is 6).
You're doing a sum over an iteration of all the numbers in your sample.
So applying the sum of all of the numbers, it gives us the following:
The sum of all of the numbers in your sample is equal to 119.6.
Substitute into the equation once again:
Where the square root of 119.6 is 10.93617...
Rounded to two decimal places: 10.94
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Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus: