Description Review the slideshow above. After reviewing the slideshow, answer the three questions about the volcano projectile. Remember to type and save your assignment as a Microsoft Word document and show all your work.
Description The spinner below is spun twice. What is the probability that it will land on a red and green? Round to the nearest tenth of a percent. 3.1% 37.5% 2.8% 1.6% Brittany’s cat just had kittens. There are 3 white kittens, 2 black kittens, and one tabby cat. If she gives two cats to her cousin, what is the probability that one will be white and the other will be black? 66.7% 40% 30% 10% There are 52 teams in the NFL. The Seattle Seahawks won the Super Bowl last year. Which expression shows the probability that they will also win the next two years? A. B. C. D. The distribution of letters in a Scrabble game are given below. If 7 pieces are taken from the 100 piece set and Y is considered a consonant, what is the probability that the first two pieces chosen are vowels? Round to the nearest tenth of a percent. 17.6% 17.4% 17.2% 7% A magician is doing a magic trick with a standard deck of cards. He asks Melissa to draw a card at random and then replace it. Then he asks Brandon to draw a card from the deck. What is the probability that both Melissa and Brandon draw a spade? Round to the nearest tenth of a percent. 6.3% 5.9% 0.6% 0.5% The distribution of letters in a Scrabble game are given below. If 7 pieces are taken from the 100 piece set, what is the probability that the first two pieces chosen are “S” and the third is an “E”? A. B. C. D. Each of the spinners below is spun once. What is the probability that both spinners land on a 3? 1/9 7/12 1/12 2/7 Each of the spinners below is spun once and then added. What is the probability that the sum is odd? 1/2 3/7 1/6 1/12 A box of ice pops has 3 blueberry, 3 cherry, 2 lemon, and 2 orange ice pops. Mark, Brad, and David all take ice pops out of the box randomly. What is the probability that Mark and Brad will get cherry and David will get lemon? 1/120 9/500 1/60 3/225 There are 10 contestants are competing on a singing show. 6 of them are females and 4 are males. Each week a contestant is voted off of the show. What is the probability that 3 females are voted off in the first 3 weeks? 3/5 3/25 27/125 1/6
Description Which of the following best describes the probability distribution shown below? positively skewed negatively skewed normally distributed continuous probability distribution Which of the following histograms represents the data set given below? A. B. C. D. Which of the following could best be represented using a continuous probability distribution? The frequency for which different sized flat rate boxes are purchased at a post office. The frequency of temperatures throughout the day in Florida on April 25th. The frequency of different scores achieved on an Algebra test in a class of 30 students. The number of students who use the internet for at least one hour after school. Which of the following best describes the data given in the table below? positively skewed negatively skewed normally distributed none of the above IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100? 13.5% 47.5% 95% 27% Which of the following best describes the probability distribution shown below? positively skewed negatively skewed normally distributed continuous probability distribution The diagram below shows a normal distribution. 68% of the values fall within the shaded region, and x with bar on top is the mean. The scores in the shaded region range from 25 to 35. What is the mean of the values in the distribution? 5 10 30 60 The diagram below shows a normal distribution. 68% of the values fall within the shaded region, and is the mean. The scores in the shaded region range from 25 to 35. What is the standard deviation of the values in the distribution? 5 10 30 60 The number of home runs scored by teams in the Fayetteville baseball league are normally distributed and have a mean of 91 and a standard deviation of 12. What percentage of the teams have scored more than 115 home runs? 2% 13.5% 15.5% 98% The number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. What percentage of students spend between 2.5 and 19 hours studying each week? 34% 68% 47.5% 81.5%
Description 1. Use the following equation to perform the operations below: a. Graph the original (not a reduced version) equation using a graphing calculator or an on-line graphing tool like the one at www.desmos.com/calculator. Where are the vertical asymptotes of the graph located? Explain how you can use the equation to verify these vertical asymptotes. b. What graphical feature occurs at ? Use the "trace" function, zoom in on the graph, or look at a table of values to verify what is happening at . Why isn't there a vertical asymptote at ? c. Solve the equation for when (find the roots of the equation). Show all of your work and explain the strategies you use in each step. 2. The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola? b. Describe the graph of the parabola. Find the vertex, directrix, and focus. c. Use the endpoints of the latus rectum to find the focal width. d. How far above the vertex should the receiving antenna be placed?
Description Find the margin of error with the given conditions. Round to four decimal places. P = 33% and n = 600 200 high school students were surveyed about whether they drive or take the bus to school. 145 preferred driving.
Description The number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. What percentage of students spend between 2.5 and 19 hours studying each week? A. 34% B. 68% C. 47.5% D. 81.5%
