## Budgeting Problem

Budgeting Problem

## Constructing and Implementing Hypothesis Tests

Write a minimum of 250 words for each of the discussion questions below:When constructing and implementing hypothesis tests, what reasoning is used behind the statement of the null and alternative hypotheses? Why are hypothesis tests set up in this way? Can a confidence interval obtained for estimating a population parameter be used to reject the null hypothesis? If your answer is yes, explain how. If your answer is no, explain why.When performing a hypothesis testing, two types of errors can be made: Type I and Type II. Explain in your opinion which of these errors would be a more serious error. Use specific examples to support your argument and reasoning.In your two replies to classmates, provide remedies to simultaneously minimize both types of errors mentioned in question 2 above.

## 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?

## 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.

## Algae Bloom Equations

A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?

## A Relative Frequency Table

Suppose that you have two sets of data to work with. The first set is a list of all the injuries that were seen in a clinic in a month’s time. The second set contains data on the number of minutes that each patient spent in the waiting room of a doctor’s office. You can make assumptions about other information or variables that are included in each data set.For each data set, propose your idea of how best to represent the key information. To organize your data would you choose to use a frequency table, a cumulative frequency table, or a relative frequency table? Why?What type of graph would you use to display the organized data from each frequency distribution? What would be shown on each of the axes for each graph? Including two apa citations

## Math Assessement

Two coils which are made by winding copper wire of different gauges and length have the same mass.The first coil is made by winding 270 metres of wire with cross sectional diameter 2.8 mm while the second coil is made by winding a certain length of wire with cross sectional diameter of 2.1 mm.Find the length of the wire in the second coil.