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-BARSIC- [3]
3 years ago
10

A total of 9 cycles have been observed during a time study. The mean for the largest element time = 0.80 min, and the correspond

ing sample standard deviation s = 0.15 min, which was also the largest. If the analyst wants to be 95% confident that the mean of the sample was within +/- 10% of the true mean, how many more observations should be taken?
Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

Only one, more should be taken.

Step-by-step explanation:

See the attached file please.

Download pdf
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<img src="https://tex.z-dn.net/?f=x_%7B123%7D%20x%5E%7B2%7D" id="TexFormula1" title="x_{123} x^{2}" alt="x_{123} x^{2}" align="a
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What is the inverse of the function g(x) = x^3/8 + 16 ?
lesya692 [45]

Answer:

\hookrightarrow \: { \rm{f(x) =  \frac{ {x}^{3} }{8}  + 16}} \\

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \rm{8m =  {x}^{3}  + 128}} \\  \\ { \rm{ {x}^{3} = 8m - 128 }} \\  \\ { \rm{ {x}^{3} = 8(m - 16) }} \\  \\ { \rm{x =  \sqrt[3]{8}  \times  \sqrt[3]{(m - 16)} }} \\  \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}

• therefore:

{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\

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3 years ago
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r
Masja [62]

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

\frac{4.5+5.5}{2} = 5

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = \frac{2}{4.5} = 0.44 hours

Now convert hours into minutes

0.44* 60= 26.4 minutes





3 0
3 years ago
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