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NeX [460]
1 year ago
10

Round 835.411 to the nearest tenth.

Mathematics
1 answer:
kondor19780726 [428]1 year ago
4 0

The tenth position is the one that goes after the decimal point.

To round a number, you have to take into account the following:

1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.

2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.

In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.

The rounded number would be:

835.4

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Suppose the distribution of home sales prices has mean k300, 000 and standard
777dan777 [17]

<u>Given</u>:

Mean,

\mu = 300,000

Standard deviation,

\sigma = 50,000

The Chebyshev theorem will be used for the solution of the given query,

i.e., P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}

(i)

⇒ 1-\frac{1}{k^2} = 0.75

            k = 2

The lower limit will be:

= \mu - k \sigma

= 300000-2\times 50000

= 200000

The upper limit will be:

= \mu + k \sigma

= 300000+2\times 50000

= 400000

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ \mu -k \sigma = Lower \ limit

By putting the values, we get

   300000-50000k = 150000

   300000-150000=50000k

                  150000=50000k

                           k=\frac{150000}{50000}

                              =3

now,

⇒ 1-\frac{1}{k^2} = 1-\frac{1}{3^2}

              =\frac{8}{9}

              =0.8888

              =88.88 (%)

hence,

88.88% houses sold between 150000 and 450000.      

(iii)

⇒ \mu - k \sigma = Lower \ limit

By putting the values, we get

   300000-50000k = 170000

   300000-170000=50000 k

                  130000= 50000 k

                          k = \frac{130000}{50000}

                             =2.6

now,

⇒ 1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}

              =0.8521

              =85.21 (%)

hence,

85.21% houses are sold between 170000 and 430000.

Learn more:

brainly.com/question/20897803      

3 0
3 years ago
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