Answer:


Step-by-step explanation:
<u>Linearization</u>
It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.
Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

Let's find the linearization for the function

at (0,5) and (75,10)
Computing f'(x)

At x=0:

We find f(0)

Thus the linearization is


Now at x=75:

We find f(75)

Thus the linearization is


Answer:
23
Step-by-step explanation:
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>
Step-by-step explanation:
<u> Step(i):-</u>
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
<em>Let X = 6.8</em>

Let X = 8.8

The probability that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
<u><em>Conclusion:-</em></u>
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>
Answer:

Step-by-step explanation:
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