Answer:
$14.85
Step-by-step explanation:
$5.50*3=$16.50
FInd 10% of $16.50, or $1.65
Subtract $16.40 and $1.65, and you get $14.85.
You want to start by finding the per hour speed.
125 miles / 3 hours ≈ 41.6666666… miles each hour
If you drive that speed for 5 hours: 5 hours * 41.6666… mph ≈ 208.333… miles
Answer:
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
represent the families owned at least one DVD player
represent the total number of families
represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.286;0.562)
6 square meters.
Both of these two triangles are exactly the same, so we can find the area of one, the multiply it by 2.
The area of a triangle is calculated using the formula 1/2 * base * height. The base of each triangle is 3 meters according to the diagram, and the height is 2 meters. So, just substitute the values into the equation.
1/2 * 3 * 2
Now, just simplify the expression.
1 1/2 * 2
3
So, the area of each triangle is 3 square meters. Now, just multiply that by 2, so that we have the area of both of the triangles combined.
3 * 2 = 6
This means the total area is 6 square meters.
9514 1404 393
Answer:
7.4 . . . . between 7 and 8
Step-by-step explanation:
55 is between the perfect squares 49 = 7² and 64 = 8². Using linear interpolation, the square root is approximately 7 +(55-49)/(64-49) = 7 6/15 = 7.4
√55 ≈ 7.4 . . . . approximate root by linear interpolation
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<em>Additional comment</em>
A way to improve the estimate of the root is to use the "Babylonian method" of iterating the root. Divide the original number (55) by the estimate of the root, and average that result with the estimate:
next best guess = (55/7.4 +7.4)/2 = 7 77/185 ≈ 7.4162_162(repeating)
This matches the actual root when rounded to 4 decimal places. The number of accurate decimal places approximately doubles with each iteration.
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Another way to improve the estimate is to modify the fractional portion. (The above method converges on a root more quickly.) For this, the iteration of the fractional part of the root is ...
next fractional part = 6/(14 +(fractional part))
where 6/14 is the linear estimate fractional value with 1 subtracted from its denominator.
For one iteration, the new estimate of the fractional part is 6/(14 +6/15) = 5/12, so the root estimate is about 7.4167 compared to the above 7.4162.
