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MATH SOLVE
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In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz at all, and decides to randomly guess the answers. (Round your answers to four decimal places.) (a) What is the probability that the first question she gets right is the second question? (b) What is the probability that she gets exactly 1 or exactly 2 questions right? (c) What is the probability that she gets the majority of the questions right?
General
4 months ago
In March 2007, the U.S. unemployment rate was 4.4 percent. In August 2008, the unemployment rate was 6.1 percent. Predict what happened to unemployment between March 2007 and August 2008, if the labor force was constant. If the labor force remained constant between March 2007 and August 2008, then the number unemployed _______.
General
4 months ago
A standard oil drum is a cylinder with a volume of approximately 218.276 liters (or 0.218276 cubic meters). The cost of producing the cylindrical wall of the oil drum per square meter is the price per square meter of 16-gauge steel sheet metal, plus an additional 10% for the cost of manufacturing. The circular caps of the oil drum are more expensive to produce: they are the price per square meter of 16-gauge steel sheet metal, plus an additional 63.9% for the cost of manufacturing. Assuming that the cost of 16-gauge steel sheet metal is $25.00 per square meter, what is the ideal radius and height of a cylindrical drum?
General
4 months ago
In his motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 24 mi, in 2 hr. Returning, he finds that the trip downstream, still at top speed, takes only 1.5 hr. Find the rate of Bill's boat and the speed of the current. Let x = the rate of the boat in still water and y = the rate of the current.
General
4 months ago
In the gambling game chuck-a-luck, for a $1bet it is possible to win $1, $2, or $3 with respective probabilities 75/216,15/216,and1/216. One dollar is lost with probability 125/216. Let X equal the payoff for this game and find E(X). Note that when a bet is won, the $1 that was bet, in addition to the $1, $2, or $3 that is won, is returned to the bettor.
General
4 months ago
The width of a rectangular playground is 2x -5 feet and the length is 3x+9 feet write the polynomials that represent the area and the perimeter of the playground
General
4 months ago
• The graph shows the relationship between the gallons of water a sprinklersystem uses and the number of minutes the system is used. Write anequation for this relationship. Explain how you determined your answer.
General
4 months ago
Sale! 75% OFFof the original price!Mia wants to buy a sleeping bag. The original price is $68. What is the sale price?$
General
4 months ago
PLEASE HELP!! I am having a really hard time with this!!Shelly's savings account currently has a balance of $220. She has started working a part-time job and plans to deposit part of her paycheck each week into her savings account. The table below shows the balance in Shelly's account for the first four weeks: Week Account Balance 0 $220 1 $280 2 $340 3 $400 4 $460 Part I: How much money did Shelly have in her savings account at 3 weeks? (2 points) Part II: How much money does Shelly deposit into her savings account each week? Show your work. (3 points) Part III: Write an equation to represent the amount of money Shelly has in her account each week. Let w represent the number of weeks Shelly deposits money into her savings account and m represent the amount of money in her account. A. Define the variables. (2 points; 1 point each) Let w = _________________________ Let m = _________________________ B. Write an equation to represent the amount of money Shelly has in her account each week. Hint: Remember that Shelly started with $220 in the account. (3 points) Part IV: Using the equation you wrote in Part III, how much money will Shelly have in her account after 7 weeks? Show your work. (4 points) 4. Sonny is purchasing a CD player and some CDs. The cost of the CD player is $48 more than the total cost of the CDs. If the CDs cost a total of $96, what is the cost of the CD player? Part I: Write an equation to represent the total cost of the CD player. Let c represent the total cost of the CD player. A. Define the variable. (1 point) Let c = _________________________ B. Write an equation to represent the total cost of the CD player. (2 points) Part II: Solve the equation you wrote in Part I for the variable c and write your answer in the form of a sentence. Show your work. (3 points) 5. Crunchie Munchies is a new brand of cereal on the market. The nutritional label says that a 1-cup serving of the cereal contains 120 calories. Part I: The amount of potassium in the cereal is 10 mg more than half the calories. A. Write an equation to find the amount of potassium in a 1-cup serving of Crunchie Munchies. Let p represent the amount of potassium in the cereal. Be sure to define any variable used. (3 points) B. Solve the equation you wrote in A. and write your solution in the form of a sentence. Show your work. (2 points) Part II: The amount of carbohydrates in a 1-cup serving of the cereal is 5 grams less than one-third of the number of calories. A. Write an equation to find the number of grams of carbohydrates in a 1-cup serving of Crunchie Munchies. Let c represent the number of carbohydrates in the cereal. Be sure to define any variable used. (3 points) B. Solve the equation you wrote in A. and write your solution in the form of a sentence. Show your work. (2 points)
General
4 months ago
A machine fills containers with a particular product. The standard deviation of filling weights is known from past data to be .6 ounce. If only 2% of the containers hold less than 18 ounces, what is the mean filling weight for the machine? That is, what must m equal? Assume the filling weights have a normal distribution. Anderson, David R.. Essentials of Statistics for Business and Economics (p. 299). South-Western College Pub. Kindle Edition.
General
4 months ago
what is the circumference of a sphere of radius 2?
General
4 months ago
13. How many cubic yards of concrete are needed to pour 6 footings that measure 2' 6"by 1' 6" by 12" inches deep? (Note: 2' 6" = 2.5', 1' 6" = 1.5', and 12" = 15)
General
4 months ago
Te weight of an adult bottlenose dolphin was found to follow a normal distribution with a mean of 550 pounds and a standard deviation of 50 pounds. a. What percentage of adult bottlenose dolphins weigh from 400 to 600 pounds? b. If X represents the mean weight of a random sample of 9 adult bottlenose dolphins, what is P X (500 580 < < ) ? c. In a random sample of 9 adult bottlenose dolphins, what is the probability that 5 of them are heavier than 560 pounds?
General
4 months ago
Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degree. To achieve this goal, you deposit $ 4000 at the end of each year in an annuity that pays 7.5 % compounded annually.a. How much will you have saved at the end of five years? (Do not round until the final answer. Then round to the nearest dollar as needed.)b. Find the interest.
General
4 months ago
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among the four children. Each child recieved two pieces. How many pieces did she start with?
General
4 months ago
Part AJoan bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 43 dollars. How much did each candy bar cost? Which equation matches this problem? Part BHow much did each candy bar cost?
General
4 months ago
which type of correlation is suggested by the scatter plot?a. positive correlationb. negative correlationc. equal correlationd. no correlation
General
4 months ago
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Use the Central Limit Theorem to find the approximate probability that the (sample) average time waiting in line for these customers is (a) Less than 10 minutes. (b) Between 5 and 10 minutes. (c) Less than 6 minutes. (d) If you only had two observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why? (e) If you had 1,000 observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why?
General
4 months ago
The antibody production of 12 male red-winged blackbirds before and after receiving testosterone implants was compared. The units for antibody levels were natural log (10-3 optical density) per minute (ln(mOD/min)). The mean change in antibody production was d = 0.056, and the standard deviation was sd = 0.148 If you were assigned the task of repeating this experiment, and wanted to ensure that you could detect a mean change of 0.03 units with a probability of 0.8, then what sample size would you use? Since we are calculating n for a study of individuals, answers should be rounded up to the next whole number.
General
4 months ago
The adrenaline concentrations of all sparrows in a county are normally distributed with a mean of 0.3 gram and a standard deviation of 0.02 gram. What percentage of the sparrows, taken 10 at a time, have mean concentration between 0.28 and 0.33 gram? Round your answer to the nearest integer. Do not include the percentage symbol in your answer.
General
4 months ago
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