Mathematics problem solving

1. A bank audited 100 randomly selected transac- tions of a newly hired cashier

1. A bank audited 100 randomly selected transac- tions of a newly hired cashier and found that all 100 were done correctly. What is the 95% confidence interval for the cashier’s p…

1. A baseball pitcher throws a baseball at a speed of 90 miles per hour. The bal

1. A baseball pitcher throws a baseball at a speed of 90 miles per hour. The ball travels a distance of 60 feet 6 inches. About how long does it take the ball to reach home plate?…

1. A believes that treating seeds certain additive before planting can with a th

1. A believes that treating seeds certain additive before planting can with a this is conducted in a enhance the growth of plants. An experiment to investigate From a large number…

1. A beneficial spillover is known as a: Negative externality Positive Externali

1. A beneficial spillover is known as a: Negative externality Positive Externality Neutral Externality None of the above 2. Potential solutions for addressing negative externaliti…

1. A bermudagrass lawn is to be fertilized with 0.75 pound of nitrogen per 1000

1. A bermudagrass lawn is to be fertilized with 0.75 pound of nitrogen per 1000 square feet. The fertilizer product available is called Green Max and has a 28-0-0 analysis. The la…

1. A biologist has a computer file showing 1,000 weights of rabbits in a certain

1. A biologist has a computer file showing 1,000 weights of rabbits in a certain study. These range from 105 (grams) to 4,500 (grams). By accident, the largest weight in the file …

1. A biologist hypothesizes that the mean life expectancy of a fly is 10.5 days.

1. A biologist hypothesizes that the mean life expectancy of a fly is 10.5 days. Researchers believe the true mean is more than 10.5 days and they plan a hypothesis test at the 5%…

1. A biology professor gives two assignments and a final in the course. The prof

1. A biology professor gives two assignments and a final in the course.   The professor has noticed that 80% of students get a B or better on assignment 1. If a student gets a B o…

1. A biology professor gives two assignments and a final in the course. The prof

1. A biology professor gives two assignments and a final in the course.   The professor has noticed that 80% of students get a B or better on assignment 1. If a student gets a B o…

1. A blaster rifle manufacturing facility on Naboo has 6,000 employees. The empl

1. A blaster rifle manufacturing facility on Naboo has 6,000 employees. The employees were asked whether they preferred a four-day work week (10 hours per day), a five-day work we…

1. A blaster rifle manufacturing facility on Naboo has 6,000 employees. The empl

1. A blaster rifle manufacturing facility on Naboo has 6,000 employees. The employees were asked whether they preferred a four-day work week (10 hours per day), a five-day work we…

1. A bond analyst was given a list of 11 corporate bonds. From that list, she se

1. A bond analyst was given a list of 11 corporate bonds. From that list, she selected 4 whose ratings she felt were in danger of being downgraded in the next year. In actuality, …

1. A bond analyst was given a list of 11 corporate bonds. From that list, she se

1. A bond analyst was given a list of 11 corporate bonds. From that list, she selected 4 whose ratings she felt were in danger of being downgraded in the next year. In actuality, …

1. A bottling machine is calibrated to dispense 20 ounces of water to each bottl

1. A bottling machine is calibrated to dispense 20 ounces of water to each bottle. The actual volume dispensed averages 20 ounces with standard deviation 0.2 ounces. a.) If the di…

1. A bouncy ball vending machine can dispense N small balls in two baskets. The

1. A bouncy ball vending machine can dispense N small balls in two baskets. The probability for a ball to fall in the left basket is p1, and the probability to fall into the right…

1. A box contains 3 marbles, 1 red, 1 green and 1 blue. Consider an experiment t

1. A box contains 3 marbles, 1 red, 1 green and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second …

1. A box contains 34 parts, of which 7 are defective and 27 are nondefective. 2

1. A box contains 34 parts, of which 7 are defective and 27 are nondefective. 2 parts are selected without replacement. (a) The two events, the first draw and the second draw, are…

1. A box contains 5 red balls, 10 blue balls and 5 yellow balls. Consider the fo

1. A box contains 5 red balls, 10 blue balls and 5 yellow balls. Consider the following experiment. Four balls will be selected at random, without replacement from the box (the ba…

1. A box contains two blue marbles and three yellow marbles. (a) Five draws are

1. A box contains two blue marbles and three yellow marbles. (a) Five draws are made at random with replacement. i. Find the chance of getting exactly two blue marbles. ii. Find t…

1. A brand name has a 50 % recognition rate. Assume the owner of the brand wants

1. A brand name has a 50 % recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 4 randomly selected consumers. Part A: Wha…

1. A bridge is to be built across a deep canyone. An engineer is interested in d

1. A bridge is to be built across a deep canyone. An engineer is interested in determining the distribution of the random variable X, the maximum wind speed per day at the site, s…

1. A brief discussion of all terms in each system. For example, what does the co

1. A brief discussion of all terms in each system. For example, what does the coefcient to the x term in equation for dx/dt represent? Which system is cooperative and which is com…

1. A builder wishes to fence in 60,000 m2 of land in a rectangular shape. For se

1. A builder wishes to fence in 60,000 m2 of land in a rectangular shape. For security reasons, the fence along the front part of the land will cost $20 per meter, while the fence…

1. A business has a large fleet of 500 vehicles. These vehicles have an average

1. A business has a large fleet of 500 vehicles. These vehicles have an average miles per gallon rating of 21.6 mpg. Although each vehicle’s actual fuel consumption will vary, whe…

1. A cafe has 10 types of tea, 8 types of hot chocolate, and 15 kinds of coffee.

1. A cafe has 10 types of tea, 8 types of hot chocolate, and 15 kinds of coffee. The café is running a promotion where it is giving away a randomly selected beverage to each custo…

1. A candy company claims that 24% of its plain candies are orange, and a sample

1. A candy company claims that 24% of its plain candies are orange, and a sample of 200 such candies is randomly selected. a. Find the mean and standard deviation for the number o…

1. A candy shop makes two pre-packaged sweets mixtures. A bag of mixture A conta

1.      A candy shop makes two pre-packaged sweets mixtures.  A bag of mixture A contains 12 ounces of jelly beans, 2 ounces of sugar tarts, and 8 ounces of malt balls and sells f…

1. A capacitor is formed by two metal parallel plates with the dimensions 210 mm

1. A capacitor is formed by two metal parallel plates with the dimensions 210 mm x 210 mm separated by the gap of 1 um (u=micro) filled with dielectric material with relative diel…

1. A car company has found that there is a linear relationship between the amoun

1. A car company has found that there is a linear relationship between the amount of money it spends on advertising and the number of cars it sells. When it spent 60,000 dollars o…

1. A car dealership was interested in seeing if there was a linear relationship

1. A car dealership was interested in seeing if there was a linear relationship between the number of ads shown on television and the number of cars sold. a) Using the equation fo…

1. A car enters a toll road at point A at 2:40pm and exits the toll road at poin

1. A car enters a toll road at point A at 2:40pm and exits the toll road at point B at 5:00pm. If point A and point B are 168 miles apart and the speed limit on the toll road is 6…

1. A car is wating at a red light. when the light turns green the car starts acc

1. A car is wating at a red light. when the light turns green the car starts accelerating at a constant rate. The distance the car has traveled in feet ( t ) seconds after the lig…

1. A car traveling at 49ft/sec49ft/sec decelerates at a constant 4ft/sec24ft/sec

1. A car traveling at 49ft/sec49ft/sec decelerates at a constant 4ft/sec24ft/sec2. How many feet does the car travel before coming to a complete stop? 2. A stone is thrown straigh…

1. A case-control study was performed to determine whether head injury was assoc

1. A case-control study was performed to determine whether head injury was associated with an increased risk of brain tumors in children. 200 cases with brain cancer were identifi…

1. A casserole baked at 475 degrees Fahrenheit (F) is removed from the oven at 6

1. A casserole baked at 475 degrees Fahrenheit (F) is removed from the oven at 6:00 pm into a room that is a constant 60 degrees F. After 5 minutes, the casserole is at 300 degree…

1. A catalytic reactor is used to produce formaldehyde from methanol by the reac

1. A catalytic reactor is used to produce formaldehyde from methanol by the reaction: CH3OH HCHO right arrow H2 The gases exit the reactor at 343 degree C and 13.7 atm with the fo…

1. A central power plant, whether the energy source is nuclear or fossil fuel, i

1. A central power plant, whether the energy source is nuclear or fossil fuel, is a heat engine operating between the temperatures of the reactor or furnace and the surroundings, …

1. A cereal company is marketing a product that contains only 100 calories. You

1. A cereal company is marketing a product that contains only 100 calories. You want to test the hypothesis that in fact their product on average does has 100 calories. You go out…

1. A certain LCD projector contains a single thin lens. An object 24.2 mm high i

1. A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.80 m high. The object-to-screen distance is 3.…

1. A certain flight arrives on time 78% of the time. Suppose 112 flights are ran

1. A certain flight arrives on time 78% of the time. Suppose 112 flights are randomly selected. Use normal approximation to the binomial to approximate the probability that the ch…

1. A certain lake containing the invasive species zebra mussels is considered \"

1. A certain lake containing the invasive species zebra mussels is considered "healthy" if the average number of zebra mussels per acre is less than or equal to 100,000. If the av…

1. A certain restaurant claims they can make over1 million different types of sa

1.    A certain restaurant claims they can make over1 million different types of sandwiches. They list thefollowing: ten “meats”(six regular – Black Angus, Veggie, Turkey,Chicken,…

1. A certain restaurant claims they can make over1 million different types of sa

1.    A certain restaurant claims they can make over1 million different types of sandwiches. They list thefollowing: ten “meats”(six regular – Black Angus, Veggie, Turkey,Chicken,…

1. A certain standardized test has scores which range from 0 to 500, with decima

1. A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 308 and a standard de…

1. A certain store sells small, medium, and large toy trucks in each of the colo

1. A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow. The store has an equal number of trucks of each possible color siz…

1. A certain town has 30,000 families. The average number of children per family

1. A certain town has 30,000 families. The average number of children per family is 2.4 with an SD of 0.9. Also, 20% of the families have no children at all. A random sample of 10…

1. A charged insulating sphere radius of b has a non-constant volume charge dens

1. A charged insulating sphere radius of b has a non-constant volume charge density of = 11r^(2/3). Find the electric field magnitude in each region in terms of (outside the objec…

1. A chi-square goodness-of-fit test shows that the frequencies observed equal t

1. A chi-square goodness-of-fit test shows that the frequencies observed equal those that were expected. Hence, the value of the test statistic is a. equal to 0 b. less than 0 c. …

1. A child is measured to have height 1.28 metres and weigh 39 kg. Calculate the

1. A child is measured to have height 1.28 metres and weigh 39 kg. Calculate their Body Mass Index (BMI). If these measurements have possible errors of 1 cm and 0:5 kg respectivel…

1. A child\'s board game contains a spinner with three colors: orange, yellow, a

1. A child's board game contains a spinner with three colors: orange, yellow, and green. Give the sample space for spinning the spinner two times in a row. b. a. Find the probabil…