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dem82 [27]
3 years ago
7

HELPPPPPPPPPPPPPPPP!!!!!!

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

70.2 degrees

Step-by-step explanation:

\arccos \left(\frac{19}{56}\right)=1.22463\ = \quad \begin{pmatrix}\mathrm{Degrees:}&70.17^{\circ \:}\end{pmatrix}

timofeeve [1]3 years ago
4 0

Answer:

15

Step-by-step explanation:

It is a right angle so it will add up to 90 degrees.

This is the equation:

x=90-19-56

x=15

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zepelin [54]
Height = 12    
               12/6=2

Width= 24
              24/6=4

the answer is 4
5 0
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Drag each measure to a box on the right to match the measure on the left. 5 feet10,560 feet48 inches126 inches 2 miles 123 yards
charle [14.2K]

Answer:

4 feets = 48 inches

2 miles = 10,560 feets

1 2/3 yards = 5 feets

3 1/2 yards = 126 inches

Step-by-step explanation:

Recall :

1 Feet = 12 inches

1 MILE = 5280 feets

1 yard = 36 inches

1 yard = 3 feets

If 1 feet = 12 inches

4 feets will be ; (12 * 4) inches = 48 inches

If 1 mile = 5280 feets

2 miles will be ; (5280 * 2) = 10,560 feets

If 1 yard = 3 feets

1 2/3 yards will be ; (5 /3) * 3 = 5 feets

If 1 yard = 36 inches

3 1/2 yards will be ; (7 /2 ) * 36 = 126 inches

8 0
3 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
Veseljchak [2.6K]

Answer:

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given data</em>

<em>First sample size (n₁) = 10 </em>

<em>mean of the first sample(x₁⁻) = 537</em>

<em>standard deviation of the first sample (S₁) = 22</em>

<em>second sample size (n₂) = 10 </em>

<em>mean of the second sample (x₂⁻) = 559</em>

<em>standard deviation of the second sample (S₂) = 17</em>

<u><em>Step(ii)</em></u><em>:-</em>

<u><em>Null hypothesis : H₀:</em></u><em>- The extra carbonation of cola results in a lower average compression strength</em>

<u>Alternative Hypothesis :H₁</u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em>Step(iii)</em></u><em>:-</em>

<em>By using student's t -test for difference of means</em>

<u><em>Test statistic</em></u>

<em>       </em>t = \frac{x^{-} _{1}-x^{-} _{2}  }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} }  } )}<em />

<em>  where </em>

<em>     </em>S^{2}  = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2}  }{n_{1}+n_{2} -2 }<em />

<em>    </em>S^{2}  = \frac{10(22)^{2}  + 10 (17) ^{2}  }{10+10 -2 } = \frac{ 7730}{18} = 429.4<em />

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<em>   t =  -2.375</em>

<em>|t| = |-2.375| = 2.375</em>

<em>Degrees of freedom</em>

<em>γ = n₁+n₂ -2 = 10+10-2 =18</em>

<em />t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009<em />

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<u><em>Final answer:-</em></u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

<em />

<em> </em>

<em />

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