## [SOLVED] Positive Integers

1. A positive integer is twice another. The sum of the reciprocals of the two positive integers is . Find the two integers.2. A positive integer is twice another. The difference of the reciprocals of the two positive integers is Find the two integers.3. John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmother’s house, but then he tired and walked the remaining 2 miles. If the total trip took 0.9 hours, then what was his average jogging speed?4. A bus? averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle? to travel 155 miles, then what is the speed of each?5. Jane can paint the office? by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?

## [SOLVED] The Mathematics of Trigonometry

The science of physics, specifically projectile motion, goes hand in hand with the mathematics of trigonometry. We need the math of trigonometry to model the flight path of an object moving through the air. Describe another connection between a math topic and a non-math topic, where the math topic is needed to explain and model the non-math topic.

## [SOLVED] Budgeting Problem

The budget information problem is the following: the budgeting problem ( the bonus budget is set at the start of the financial year by the finance team and given to the incentive team to to manage. The budget of the sales department is 24% of the full time employees salary. This is reviewed every quarter due to any over spend or under spend depending on sales. The issue that if there is any overspend the next quarter the agents are then impacted by the incentive scheme been reviewed and lowered. As a department we do not see the budget or have any idea on how the budget is performing. The agents are paid a certain % based on their conversion and revenue. Part of the issue is that the marketing team can send out marketing that drives calls into the call center and this can have a positive effect on the agents conversion meaning that the incentive team are paying out more than they budgeted for within that quarter. When the bonus is reviewed if this negativity effects the agents and team moral can drop, Using the following concepts I want you to analyse the problem. Page 134-135 Week 11 the control loop (i need you to annotate and include a annotated image of fig 11.1 Page 135-136 week 11 The function and possible benefits of budgets. Page 137-138 week 11 the Pyramid of purpose. (i need you to annotate and include a annotated image of fig 11.2) also discuss the limiting factors. Page 141 week 11 The time factor. Also if you look at week 12 if any on the concepts are fit in please use these. Where you analyse using a concept please reference with the following OU, PGXX

## [SOLVED] Probability Distribution

Need 250 words initial post and two replies of 75 words each. Write a minimum of 250 words for each of the discussion questions below:Select a discrete probability distribution and present a real-life application of that distribution. Interpret the expected value and the standard deviation of your selected distribution within the context of the real-life example that you have selected, and describe how these values can be used by enterprise decision-makers.Select a continuous probability distribution and present a real-life application of that distribution. Interpret the expected value and the standard deviation of your selected distribution within the context of the real-life example that you have selected, and describe how these values can be used by enterprise decision-makers.In your two replies to classmates, comment on their choices of probability distributions, and provide additional examples of applications of the probability distributions that they have selected.