The histogram for the data is given at the end of this answer.
<h3>What is an histogram?</h3>
An histogram is a graph that shows the number of times each element of x was observed.
In this problem:
- The elements of x are given by the time in hours.
- The histogram shows the number of runners that finished the race in x hours.
Hence, the graph given at the end of this answer is the histogram.
You can learn more about histogram at brainly.com/question/2962546
Let 
. The gradient of 
at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.
So the tangent plane has equation
Compute the gradient:
Evaluate the gradient at the given point:
Then the equation of the tangent plane is
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
The length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul
Price she paid, P = $80 .
She sells the bicycle at 1/4 of the price she paid.
Let, buying price is x.
So, as given in question selling price will be x/4.
Also, selling price is given as $80 .
Therefore, Steph pay $320 for the bicycle.
Hence, this is the required solution.
