Answer:
A) The maximum error in the calculated surface area:
Relative error:
B) The maximum error in the calculated volume:
Relative error:
Step-by-step explanation:
A) The formula for the surface area is:
The measured value is the circumference which is equal to:
then the radius is:
Substituting in the formula of the surface:
Using the formula to calculate the error:
Where is the variable measured and is a function of ().
We have C=80cm and dC=0.5cm
The relative error is the maximum error divide by the total area. The total area is:
B) The formula for the volume is:
Using
The maximum error is:
The calculated volume is:
The relative error is:
Answer:
The distribution is symmetric.
Step-by-step explanation:
<em>The distribution will be skew left, if the data is more distributed on left side of graph.</em>
<em>The distribution will be right left, if the data is more distributed on right side of graph.</em>
<em>The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.</em>
<em>The distribution is uniform if the value of data remains constant throughout the graph.</em>
Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.
Thus, distribution is symmetric.
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.
Area of a rectangle=length x width.
Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)
Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x
Answer: the area of the shaded region would be: 38x²-12x
Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.
Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.
However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.
Therefore your final answer is 13/20.
Answer:
Its the last option. M and N are similar but not congruent.
Step-by-step explanation:
They have the same shape but are a different size.