(4) A bicycle travels along a straight road. Let p (t) = The position of the bicycle (in feet) at time t(in seconds) v (t) = The velocity of the bicycle (in feet/sec) at time t (in seconds) a (t) = The acceleration of the bicycle (in feet/sec2 ) at time t (in seconds) ( some of these questions require you to write an integral, some don’t; only use an integral to answer a questions if you need to) (a) Using v (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (b) Using v (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (c) Using v (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (d) Using p (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (e) Using a (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (f) Using p (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. With clear steps please

3. (a) An outfielder fields a baseball 280 ft away from home plate and throws it directly to the catcher with an initial velocity of 100 ft/s. Assume that the velocity v(t) of the ball after t seconds satisfies the di↵erential equation dv dt = 1 10 v because of air resistance. How long does it take for the ball to reach home plate? (Ignore any vertical motion of the ball.) (Instructor’s hint: Recall that a di↵erential equation of the form dv/dt = kv has solution v(t) = v(0)ekt.) (b) The manager of the team wonders whether the ball will reach home plate sooner if it is relayed by an infielder. The shortstop can position himself directly between the outfielder and home plate, catch the ball thrown by the infielder, turn, and throw the ball to the catcher with an initial velocity of 105 ft/s. The manager clocks the relay time of the shortstop (catching, turning, throwing) at half a second. How far from home plate should the shortstop position himself to minimize the total time for the ball to reach home plate? Should the manager encourage a direct throw or a relayed throw? What if the shortstop can throw at 115 ft/s? (Instructor’s hint: Let x represent the distance between the shortstop and home plate, then find an expression for the time it takes that ball to reach home plate as a function of x. It is also helpful to use a variable w to represent the shortstop’s throwing velocity, since you can then substitute the di↵erent given values in place of w.) (c) For what throwing velocity of the shortstop does a relayed throw take the same time as a direct throw

Please answer part b

PLEASE ANSWER URGENT!!! A world wide fast food chain decided to carry out an experiment to assess the influence of income on number of visits to their restaurants or vice versa. A sample of 8 households was asked about the number of times they visit a fast food restaurant (V) during last month as well as their monthly income (I). The data presented in the following table are the sums and sum of squares. (use 2 digits after decimal point)

a. Compute sample correlation coefficient. r=Answer

b. Test correlation coefficient for significance. (hint: ρ is population correlation coefficient)

Null Hypothesis is

Alternative Hypothesis is

Test statistic  is ???<---- answer

Critical Value of the test at α=5% is ???<--- answer

Does your findings support the hypothesis that as income increases, number of visits also increases at 5% significance level?

c. Find the linear regression equation of visits based on income.

Estimated visit = ?? + ?? Income

d. Find the linear regression equation of income based on visits.

Estimated income = ?? + ?? Visit

e. Which model is more deterministic? (hint: use coefficient of determination to decide)

Model in part (c)

Model in part (d)

They are equivalent

Rosie Learns, Inc. manufactures robots and uses an activity-based costing system. Rosie Learns’ activities and related data are listed below:

*The number of units receiving the finish activity, not the number of units transferred to Finished Goods Inventory.

Rosie Learns produces two models of robots, the Rosie V and the Rosie X. The Rosie X has fewer parts and requires no finishing work.

Requirements:

1. Compute the manufacturing product costs per unit of each model of robot.
2. Suppose that pre-manufacturing activities, such as product design were assigned to Roxie V at $8 each and to Rosie X at $5 each. Similar analyses were done on post-manufacturing actives such as distribution, marketing, and customer service. The post-manufacturing costs were $18 for Rosie V and $14 for Rosie X. What is the full product costs per unit?
3. Which product costs are reported in the external financial statements? Which costs are used for management decision making? What is the difference?
4. What price should Rosie Learns set for Rosie X to earn a target net profit of $20 per robot?

I'm trying to do some pratice problems in the book and here is one of them.

THIS IS FOR JAVA.

Write a method cleanCorruptData that accepts an ArrayList of integers and removes any adjacent pair of integers in the list if the left element of the pair is smaller than the right element of the pair. Every pair's left element is an even-numbered index in the list, and every pair's right element is an odd index in the list. For example, suppose a variable called list stores the following element values: [3, 7, 5, 5, 8, 5, 6, 3, 4, 7]

We can think of this list as a sequence of pairs: (3, 7), (5, 5), (8, 5), (6, 3), (4, 7). The pairs (3, 7) and (4, 7) are "bad" because the left element is smaller than the right one, so these pairs should be cleaned (or removed). So the call of cleanCorruptData(list); would change the list to store the following element values: [5, 5, 8, 5, 6, 3]

If the list has an odd length, the last element is not part of a pair and is also considered "corrupt;" it should therefore be cleaned by your method. If an empty list is passed in, the list should still be empty at the end of the call. You may assume that the list passed is not null. You may not use any other arrays, lists, or other data structures to help you solve this problem.

THIS IS FOR JAVA.

For this concept map, you will be choosing an abnormal finding from the Neurological Assessment Subtopics should include: Locate—list common assessment findings or observations associated with paralysis

—list questions you would ask the patient related to paralysis

—list expected treatments for the abnormal finding

—list pertinent patient education items related to paralysis and/or its prevention

—list items you would request from the physician or advocate for concerning the paralysis

You're given the pointer to the head node of a ordered linked list, an integer to add to the list. Write a function that inserts a number in the the list preserving its order. If the head pointer contains a null pointer that indicates an empty list.

Function insertNode has the following parameters:

• head: a SinglyLinkedListNode pointer to the head of the list
• data: an integer value to insert as data in your new node

Function prototype:

• SinglyLinkedListNode* insertNode(SinglyLinkedListNode* head, int data)

Write a  program in C++ using a vector to create the following output.

• Declare a vector named  numbers    -  Don’t specify a size and don’t initialize with values.

Starting with 2, pushing these into the back of the vector:   2, 4, 6, 8, 10

The size of the list is now 5.

The vector capacity (array size) is 6.

The back element is: 10

The front element is: 2

Now deleting the value at the end of the list . . .

The size of the list is now 4.

After deleting, here is the list:   2, 4, 6, 8

Now swapping the first number with the last number.

After swapping, here is the list:   8, 4, 6, 2   

Now inserting 0 at the beginning of the list.

After inserting, here is the list:   0, 8, 4, 6, 8

The size of the list is now 5.

The value of the third element (index 2) is:  4

Now removing all list items . . .

The size of the list is now 0.

The vector capacity (array size) is 6.      

Exercise 3: Stack
Write a program in Java to manipulate a Stack List:

1. Create Stack List
2. Display the list
3. Create the function isEmply
4. Count the number of nodes
5. Insert a new node in the Stack List.
6. Delete the node in the Stack List.
7. Call all methods above in main method with the following data:

Test Data :
Input the number of nodes : 4
Input data for node 1 : 5
Input data for node 2 : 6
Input data for node 3 : 7

Input data for node 4 : 9

Exercise 4: Queue
Write a program in Java to manipulate a Stack List:

1. Create Queue List
2. Display the list
3. Count the number of nodes
4. Insert a new node in the Stack List.
5. Delete the node in the Stack List.
6. Call all methods above in main method with the following data:

Test Data :
Input the number of nodes : 4
Input data for node 1 : 5
Input data for node 2 : 6
Input data for node 3 : 7

Input data for node 4 : 9