$499.96 x .15 = $74.99 off
$499.96 - $74.99 = $451.98
Hope this helps you!
Answer:
The answer is 0.8788
Step-by-step explanation:
<em>From question given, let us recall the following:</em>
<em>We know that Ƶα /2 * √p (1-p)/n</em>
<em>when we use n≤ 5000/10 =500</em>
<em> P = 0.75</em>
<em>The Margin of error = 0.03</em>
<em>Putting this values together we arrive at </em>
<em> Ƶα/2 = 0.03/√0.75 * 0.25/500 </em>
<em>= 1.549</em>
<em>Now,</em>
<em>Ф (1.549) = 0.9394</em>
<em>Therefore the confidence level becomes:</em>
<em> 1- (1-∝)/2 = 0.9394</em>
<em>∝ = 0.8788</em>
<em>The answer is 0.8788</em>
<em />
Answer:

If we compare this value with the 47.3 proposed we have the following error

The computed mean is close to the actual mean because the difference between the means is less than 5%.
Step-by-step explanation:
Assuming the following dataset:
Speed 42-45 46-49 50-53 54-57 58-61
Freq. 21 15 6 4 2
And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

And is useful construct a table like this one:
Speed Freq Midpoint Freq*Midpoint
42-45 21 43.5 913.5
46-49 15 47.5 712.5
50-53 6 51.5 309
54-57 4 55.5 222
58-61 2 59.5 119
Total 48 2276
And the mean is given by:

If we compare this value with the 47.3 proposed we have the following error

The computed mean is close to the actual mean because the difference between the means is less than 5%.
Answer:
Vertex - (2,1)
minimum
Step-by-step explanation:
minimum y≥1
PQ is the tangent, therefore you can use a theorem: The arc measure is double the amount of the angle the tangent makes.
So: 62/2=31