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adelina 88 [10]
3 years ago
10

A boat in calm seas travels in a straight line and ends the trip 10 km east and 29 km south of its original position. Find the d

istance of the trip to the nearest tenth.
Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
A boat in the calm seas travels in a straight lir and ends the trip 22 km west and 53 km nort of its original position. To the nearest tenth of degree , find the direction of the trip. Assume the start is at (0,0 ) The end is at (-22,53 ) . direction =tan^ ^ -1(-53/22)=-67.46 But the angle is in the 2nd Quadrant. So, direction ion = - 67.46 + 180 = 112.54 degree Cheers Stan H.
Mariana [72]3 years ago
4 0
A boat in the calm seas travels in a straight line and ends the trip 22 km west and 53 km north of its original position. To the nearest tenth of a degree, find the direction of the trip.
-----
Assume the start is at (0,0)
The end is at (-22,53).
----
direction = tan^-1(-53/22) = -67.46
But the angle is in the 2nd Quadrant.
So, direction = -67.46 + 180 = 112.54 degrees
============
Cheers,
Stan H.
===============
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4 0
3 years ago
NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400
Ne4ueva [31]

Answer:

The test statistics is  t  =  -1.727

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  \mu  =  14400

    The  sample  size is  n =  16

  The  null hypothesis is  \mu \le  14400

    The  alternative hypothesis is  H_a  :  \mu > 14400

The sample mean is mathematically evaluated as

  \= x  =  \frac{\sum x_i}{n}

So

   \= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}

=>  \= x = 10799.9

The  standard deviation is mathematically represented as

      \sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}

So

\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..

   ..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...

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  Generally the test statistic is mathematically represented as

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 From the values obtained we see that

        p-value  >  \alpha  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0
3 years ago
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