Mathematics

Please help me with this:Grade A sugar costs 75 sh per kg and grade B sugar costs sh 50 per kg. Angela mixed the two grades and sold the mixture at sh 72 per kg. In so doing she made a profit of 20%. In what ratio did she mix them?

Define continuity and discontinuity of a function and explain it with examples make presentation on power point

PROJECT #2: IS THERE A CORRELATION BETWEEN A HOUSE’S SQUARE FOOTAGE AND ITS PRICE? Data collection: Find 20 houses for sale and record its selling price and its square footage. Make a scatter plot of the square footage vs. the selling price. Does there seem to be a linear correlation? If so, would you classify the correlation as strong or weak. Calculate the correlation coefficient and classify the correlation as strong or weak. How does this compare to your previous classification? Find the equation of the regression equation. Use the regression equation to predict the sale price of a house with a square footage of 2000 square feet. Is this interpolation or extrapolation?

Please pick 2 different functions from the below list to use in the essay:  1. Rational Functions  2. Polynomial Functions  3. Exponential Functions  4. Piecewise Functions

STEP A – COLLECTING YOUR DATA FIRST 1. Open up Google sheets OR an Apple Numbers, OR a Microsoft Word document. (I would provide the document but I don’t know what apps everyone uses and is familiar with). 2. Label 3 columns across the top Dice 1, Dice 2, Sum of Faces. 3. Go to this website (any random dice roller website). And perform 36 rolls. Record your data in your sheet.  4. Once you have finished, create a frequency table below your count, that corresponds to the sums 2 through 12.  5. Save or export your file as such firstnamelastname.xlsx  ——————– STEP B – YOUR STATISTICS AND SHARING IT WITH YOUR PEERS 1. Your data that was in your record sheet (frequency table) and put it in L1 and L2 in calculator. 2. Find the descriptive statistics using your calculator. 3. Create a histogram using your calculator. (Adjust the window settings if need be – you all had some algebra so you know what you should be looking for far as looking at the axis and scaling. Don’t ask me to help. This is an application of your algebra knowledge). 4. Create a box and whisker plot using your calculator.  5 Start a thread: INITIAL POST – FAILURE TO DO WILL RESULT IN A ZERO OR IF NOT DONE CORRECTLY WILL RESULT IN A LOSS OF  A LOT OF POINTS.  A. Provide using correct notation, the descriptive statistics in your calculator. Yes -type it up (no pictures). Just provide this in list (top- down form) B. Provide a 3 paragraph summary about:  2 paragraphs –  What does your descriptive statistics say about your data? Make conclusions AND answer the question I gave in the beginning about MAKING PREDICTIONS (If you did not do that assignment, ask your peers what it was).  Be incredibly specific. Please use good grammar and no bullet points.  1 paragraph – Describe your histogram and box and whisker plot that you made from your calculator. What is shape? How do know by looking at your calculator displays? STEP A: LOOKING AT YOUR DATA AGAIN 1. Open up your excel file. Create a relative frequency chart below your frequency chart. (Take your frequency of each respective sum/36) 2. Below the relative frequency list. Find the sum of all the relative frequencies.  STEP B: INTIAL POST – START A THREAD – FAILURE TO DO SO WILL RESULT IN A ZERO OR FAILURE TO FOLLOW ALL DIRECTIONS WILL RESULT IN A LOSS OF POINTS START WITH A PARAGRAPH ANSWERING THE FOLLOWING What is the difference between experimental and theoretical probability?  CONTINUE WITH 2 PARAGRAPHS – Talk about your data in reference to Chapter 4 & 5.  Include information about its connections to 1. Probability  (use the relative frequencies)  What was your experiment? What were classified as your your events/simple events, outcomes, sample space?  P(sum of 2) P(sum of 7) P(sum of 3 or sum of an odd number) P(sum of a number divisible by 2 or a sum of a number divisible 4) Observation of mutually exclusive, non mutually exclusive events, dependent events, independent events.  2.  Probability Distributions  Is yours a valid one?  Find the mean  and standard deviation (using your calculator) of the probability distribution. Discuss what this tells us about your data.  FINISH WITH ONE LAST PARAGRAPH. How does your experimental compare the theoretical? Be incredibly specific.  Consider this chart to help you with that:

Mathematics for Planet earth (a website with numerous webinars)https://sites.google.com/view/mpe2020-webinars/materials    watch it, and produce a 1-page synopsis, followed by a list of terms that you did NOT understand. State clearly what you think was and was not interesting in the seminar.

8.) Suppose that we have an urn with red and green balls with an X or Y on them (i.e. four different kinds of balls, namely, Red – X ,Red – Y , Green – X , Green – Y ). Suppose that we know the following:P ( Red ) = .2P ( Red and X ) = .1P ( X ) = .3Find:A.) P ( Green )B.) P ( Red or X )C.) P ( Red|X )D.) P ( X|Red )E.) Are events Red and X independent?F.) Why or why not? If they are not independent, change one of the probabilities given to make them independent.10.) Suppose the probability of being farsighted is .1. Suppose also that the probability of a farsighted person being dyslexic is .05 and the probability of a person who is not farsighted being dyslexic is .025 (1/2 as likely). What is the probability that a person with dyslexia is farsighted?11.) In baseball, suppose we are told that the probability of scoring a run on a double is .54. That is, given a play has generated a double, 54% of the time at least one run will score. However, we want to know how often when a run scores, it was generated by a double. This is not the same question. Do we see the difference? We are told that the probability of runs scoring on plays that are not doubles is .11 and the probability of hitting a double is 18%.13.) One cab company in our city is named “Blue Cab Co.” And they have had some complaints about the driving behavior of their employees. But we know that all cab companies have some drivers who are a bit reckless. We know that the probability of getting a reckless driver if we are in a Blue Cab car is .25, but what we want to know is if we have a reckless driver, how likely is it a Blue Cab that we are in? Do we see the difference? We know the probability of getting a reckless driver if we are not in a Blue Cab car is .15, and we know the probability of getting a Blue Cab car is .4. So, what is the probability of being in a Blue Cab car if we have a reckless driver?3.) For each of the following situations, specify the null and alternative hypotheses:A.) The average respiration rate per minute is 8. Do smokers have an average rate different from 8?B.) The average score on the Beck Depression Inventory is 12. Does the average depression score of mothers with young children deviate from the population mean?C.) The average miles per gallon (mpg) of cars used in the United States is 20. Is the observed mpg of a sample of cars used in Japan different?4.) When conducting an inferential test, when should we use the t distribution?5.) `What if a researcher conducting a project using a single?sample design has access to both the population and the sample standard deviation, which test should they use?7.) What type of error corresponds to a “false positive?”8.) What type of error corresponds to a “false negative?”11.) For which type of error can we set the precise risk rate, and which one can we only increase or decrease the chance of making?16.) Among trained typists, suppose it is known that the average typing speed using a standard keyboard is 60 words per minute (wpm), with a standard deviation of 5 wpm. The manufacturer of an ergonomically designed keyboard claims their device will improve typing speed. A random sample of 50 typists is tested on the ergonomically designed keyboard, and the sample mean wpm is 65. Test the hypothesis that using the new device affects typing speed. Set alpha at .05.A.)Should we use the z distribution or t distribution? Why?B.) State H 0 and H 1 .C.) What are the critical values?D.) What is the obtained statistic?E.) Reject the null hypothesis?F.) What type of decision error might have been made?G.) Is there sufficient evidence to support the manufacturer’s claim?H.) If so, what is the effect size?17.) On one standardized measure of IQ, ? =?100 and ? =?15. Imagine we want to test the hypothesis that children of parents with college degrees have an average IQ that is greater than the national average. A sample of 100 students who have college?educated parents is randomly selected, and the mean is 110 with a standard deviation of 12. Conduct a test of the null hypothesis and set alpha at .05.A.) Should we use the z distribution or t distribution? Why?B.) State H 0 and H 1 .C.) What are the critical values?D.) What is the obtained statistic?E.)Reject the null hypothesis?F.) What type of decision error might have been made?G.) Interpret the finding.H.) If the null is rejected, what is the effect size?20.) An industrial/organizational psychologist believes that people who work at home experience greater job satisfaction. Imagine that a job satisfaction rating scale exists. The publishers of this scale claim the population is normally distributed with a mean of 50. The psychologist samples 20 people who work at home finding M =?63 and s =?17.

An understanding of statistics is necessary in many situations in life or in a work setting.  The use of statistics can help provide answers to many questions. Post a question you think that statistics may help you answer and in at least 200 words explain why statistics can help provide an accurate answer.  After your posting, write a reply to one of your classmates in at least 100 words.  Do you agree that statistics are necessary to answer their questions?  Is their question one that you would also like to have an answer to?  Why or why not?

Chose an article on Calculus and analysiswrite a page summary and reaction; follow the guidelines:• Be sure to write in accurate, complete sentences.• Be sure to includeo an accurate bibliographicentry for the text reado a statement of the topic addressedo a description of the area (what category? history, philosophy, geometry, etc.) o a statement of what appealed to youo a statement about what is clearer to you due to this readingo anything else you choose to express about the reading

The Golden Ratio, sometimes referred to as Phi (, is a ratio between two lengths A and B that yield the exact number  which is irrational and is approximately We will use 1.62 as our approximation for the purposes of this hypothesis test. Many claims have been made that the golden ratio exists in nature both in living and non-living things.For example, the length of a human arm from elbow to wrist compared to the length of the hand from wrist to tip of middle finger. In this example, the length from elbow to wrist would be length A and the length from wrist to middle finger would be length B.To test a claim such as this, suppose we collected a large data set and fond the mean average ratio for all the ratios collected to be 1.71. This is indeed close to 1.62, but do we then agree with the claim that human arms and hands grow in an approximate golden ratio? What if the original claim was that this human ratio was  which is approximately ?  Do our findings support this claim? This example shows why we never, ever support the null hypothesis with our findings. We may only reject it due to strong evidence to the contrary, or fail to reject it due to insufficient evidence to the contrary.