Answer: The top speed of a zebra is 0.36 feet per second than a wildebeest.

First, we can start by subtracting the top speed of each animal. 64.4 - 64 = 0.4 The zebra is 0.4 km/h faster than the wildebeest.

Now, we just have to move from km/h to feet per second. To start, we need to divide by 3600 because there are 3600 seconds in an hour. Next, multiply by 0.62137 because there are 0.62137 km per mile. Finally, convert the miles to feet by multiply by 5280 (the number of feet per mile).

The result is a speed of about 0.36 feet per second.

The **<u>correct answer</u>** is:

D) the vertex coordinates and the absolute value determine the region of the graph on the plane.

**Explanation:**

The vertex coordinates of an absolute value function determine how far the graph is shifted vertically and horizontally from the origin, as the vertex of the parent graph y=|x| is the origin (0, 0).

The coefficient in front of the absolute value bars determines which direction the graph opens up in as well as how wide or narrow the bars are (the distance between the arms). If the coefficient is positive, the graph opens upward; if the coefficient is negative, the graph opens downward. If the coefficient is an integer greater than 1 or less than -1, then the graph will be more narrow than the parent graph; if the coefficient is a fraction, then the graph will be wider than the parent graph.

Since the vertex affects the position and the coefficient determines the direction it opens up, these determine the region of the graph on the plane.

Area of the first circle = 16(pi)

We know that

Area of a circle = (pi) * (Radius)^2

Then

16(pi) = (pi) * (radius) ^2

(4)^2 = (Radius)^2

Radius = 4

Diameter = 8

Circumference = (pi) * Diameter

= 8(pi)

In case of the second circle

Area = (pi) * (Radius) ^2

25(pi) = (pi) * (Radius)^2

(5)^2 = (Radius)^2

Radius = 5

Diameter = 10

Circumference = 10(pi)

So

Circumference of first circle:Circumference of second circle = 8(pi):10(pi)

= 4:5

**Answer:**

The two quantitative elements of process variation are:

**a. common cause and special cause.**

**Step-by-step explanation:**

When a process fails to follow the prescribed process pattern, with reduced productivity, higher costs, longer lead times, and late deliveries, a process variation has occurred. Thus, process variation is a leading cause of quality issues. There are common cause variation, which is inherent in the system itself, and special cause variation, which is caused by external factors outside of the system. Process variations can be reduced by reducing the common and special cause variations, among other steps.

**Answer:**

**Step-by-step explanation:**