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andreyandreev [35.5K]
3 years ago
10

Ursula wrote the sum 5.815+6.021 as a sum of two mixed numbers.

Mathematics
1 answer:
storchak [24]3 years ago
6 0
As the sum of mixed numbers:
5.815 = 5 + 815/1000
6.021 = 6 + 21/100
Therefore
5.815 + 6.021 = 5 + 6 + (815+21)/1000
                       = 11 + 836/1000
                       = 11 + 209/250

Part a.
The sum is 11\, \frac{209}{250}

Part b.
As the sum of decimals:
   5.815
+ 6.021
  ----------
= 11.836

To compare the two results, evaluate209/250 as a decimal to see whether it is 0.836.

              0.836
       ------------------
250 | 209.000
          2000
          --------
               900
               750
               ----------
               1500
               1500

Because 209/250 = 0.836, the two sums agree.
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N = 9
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Answer:

The <em>p</em>-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4

The information provided is:

<em>n</em> = 9

<em>s</em> = 3

Compute the Chi-square test statistic as follows:

\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}

     =\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

   = 9 - 1

   = 8

Compute the <em>p</em>-value as follows:

p-value=P(\chi^{2}_{9}>4.5)=0.809

*Use a Chi-square table.

Thus, the <em>p</em>-value is 0.809.

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2 years ago
Sin law or cos law?!!!!!!!!!!!!! ​
MA_775_DIABLO [31]

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: \frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}

Step 1: Solve for m∠B

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sinx = 27sin36°/25

x = sin^{-1}(\frac{27sin36}{25} )

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

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