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LUCKY_DIMON [66]
3 years ago
6

Typing Speed The function W(t)=-3.75t^2+30t+40 describes a typist’s speed (in words per minute) over a time interval [0, 5].

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

a) 66.25

b) 100

c) 83.75

Step-by-step explanation:

We are given W(t)=-3.75t^2+30t+40

a) W(0) = -3.75+30+40=66.25

b) Maximum value can be found by taking derivative of W(t) with respect to t.

\frac{dW(t)}{dt} =-7.5t+30=0

So, t = 4 is absolute maximum.

Thus, maximum value of W(t) is occured at t = 4.

-3.75*4^2+30*4+40=100

c) Average value can be found as follows,

W_{avg}=\frac{1}{5-0} \int\limits^5_0 (-3.75t^2+30t+40)dt=\\\\=\frac{1}{5} (-1.25t^3+15t^2+40t)|^5_0=\frac{418.75}{5} =83.75

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Answer:

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Step by step:

Three pages are done at an interval of five minutes.

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Answer:

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Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

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