The square on the hypotenuse is skew and impossible to visually validate. There's nothing to sum. It is a simple calculation to note that <span><span><span>32</span>+<span>42</span>=<span>52</span></span><span><span>32</span>+<span>42</span>=<span>52</span></span></span><span>, but its picture doesn't 'say' that the angle between the 3 and 4 sided square must be 90 degrees.
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Answer:
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this quesstion:
So
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Answer:
C. 8
Explanation:
The ones place is where “7” is. The tenths place (in the case is where 5 is) determines what the ones place rounds up to.
Rules for rounding:
5 or above, round the number up.
4 or less, number stays the same.
Step-by-step explanation:
the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145
Answer:
The simplest radical form of the cubic root is ![3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=3x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
Step-by-step explanation:
Cube root of 54x^8y^12
That is:
![\sqrt[3]{54x^8y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D)
Can be simplified as:
![\sqrt[3]{54x^8y^12} = \sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D%20%3D%20%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D)
We find each separate simplification, and multiply them:
Cubic root of 54:
So
![\sqrt[3]{54} = \sqrt[3]{2*3^3} = 3\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%20%3D%20%5Csqrt%5B3%5D%7B2%2A3%5E3%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D)
Cubic root of x^8
![\sqrt[3]{x^8} = \sqrt[3]{x^6*x^2} = x^2\sqrt[3]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E6%2Ax%5E2%7D%20%3D%20x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D)
Cubic root of y^12
![\sqrt[3]{y^{12}} = y^4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D%20%3D%20y%5E4)
Multiplying all these terms:
![\sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12} = 3\sqrt[3]{2}(x^2\sqrt[3]{x^2})(y^4) = 3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E4%29%20%3D%203x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
The simplest radical form of the cubic root is
