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stepan [7]
1 year ago
14

The ma4 = (4x 22) and m48 = (5x). Find the value of x, mx4, and mx8.

Mathematics
1 answer:
mezya [45]1 year ago
7 0

Answer:

Since angles 4 and 8 have the same angle measure, we can basically say <em>angle</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>angle</em><em> </em><em>8</em>

So we can also say <em>4x</em><em> </em><em>+</em><em> </em><em>2</em><em>2</em><em> </em><em>=</em><em> </em><em>5x</em>

Knowing that now we know that x has to equal 22

Now we can figure out the actual degrees of the angles

<em>4 x 22 + 22 = 110</em>

<em>4 x 22 + 22 = 110And 5 x 22</em><em> </em><em>=</em><em>11</em><em>0</em>

<u><em>So</em><em> </em><em>the</em><em> </em><em>final</em><em> </em><em>answer</em><em> </em><em>is</em></u><em><u>:</u></em>

<em>x</em><em> </em><em>=</em><em> </em><em>2</em><em>2</em>

<em>A</em><em>ngle</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>0</em>

<em>Angle</em><em> </em><em>8</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>0</em>

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 1) To find the confidence interval 
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<span>EBM = (1.645)*(9)/(85^0.5)=1.6058</span> x - EBM = 38 – 1.6058 = 36.3941 <span> x + EBM = 38 + 1.6058 = 39.6058
</span>The 95% confidence interval is (36.3941, 39.6058).
The answer is the letter D
<span>The value of 40.2 is <span>within the 95% confidence interval for the mean of the sample

</span></span>2) To find the confidence interval  <span>
<span>the sample mean x = </span>76     σ = 20; n = 102; </span><span>
The confidence level is 95% (CL = 0.95) CL = 0.95 
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The 95% confidence interval is (</span>72.7424 ,79.2575).<span>
The answer is the letter </span>A and the letter D<span>
The value of 71.8 and 79.8 <span> are </span> outside<span> the 95% confidence interval for the mean of the sample</span></span>
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