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avanturin [10]
3 years ago
6

In the auditorium, there are 21 seats in the first row and 29 seats in the second row. Ths number of seats in a row continues to

increase by 8 with each additional row.
Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

813 seats

Step-by-step explanation:

Given that,

In the auditorium, the number of seats in the 1st row = 21

In the auditorium, the number of seats in the 2nd row = 29

Therefore, the increasing number of seats in each of the row = 8.

According to the question,

The number of seats in a row continues to increase by 8 seats with each additional row. For example, 29, 37, 45 etc.

To find the number of seats in the 100th row, we have to use statistical formula.

As 21 is the total seats in the 1st row, and there is an increase of 8 seats, the formula should be = 21 + (n - 1) × 8

we have to deduct 1 so that we get 99th rows seat numbers as we have to add 21 with that to find the 100th number row.

As the question is to determine the number of seats in the 100th row, therefore, n = 100.

The number of seats in the 100th row = 21 + (100 - 1) × 8 = 21 + 99 × 8

= 21 + 792 = 813 seats.

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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}} \ ...

  \ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}

=>  \sigma  =  8340

  Generally the test statistic is mathematically represented as

  t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }

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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

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3 years ago
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