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olasank [31]
3 years ago
15

A boat traveled 128 kilometers in

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Answer:

The Distance cover by boat in 2 hours and 15 minutes is 72 km  

Step-by-step explanation:

Given as :

The Distance cover by boat = 128 kilometer

The time taken is 4 hours

As , Distance = Speed ×Time

So , Speed = \frac{Diastance}{Time}

Or, Speed = \frac{128 km}{4 hours}

∴   Speed = 32 km per hour

Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph

So, Time2 = 2 + \frac{15}{60}

Or,  Time2 = 2 + \frac{1}{4}

I.e Time2 = \frac{9}{4}  hours

Again , Distance = Speed ×Time

So ,    Distance = 32kmph × \frac{9}{4}  hours

I.e       Distance  = (\frac{32\times 9}{4}) = 72 kilometer

Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km  Answer

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Which of the following statements are not true in developing a confidence interval for the population mean?
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Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

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3 years ago
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr
cluponka [151]

Answer:

The correct answer is:

  • \lambda=0.375 \ jobs \ per \ hour
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Step-by-step explanation:

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= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

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⇒  \lambda=\frac{1}{2.666}

       =0.375

(b)

⇒ Service rate = jobs per hour

then,

                      μ = \frac{1 \ repair \ job}{2 \ hours}

                         = 0.5 \ jobs

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