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MATH SOLVE
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A fair coin will be tossed 200,000 times. Let X denote the number of Tails. (a) What is the expected value and the standard deviation of X? (b) Consider a game in which you have to pay $5 in order to earn $log10(X) when X > 0. Is this a fair game? If not, your expected profit is positive or negative?
General
2 months ago
Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two students share the same birthday? What is the probability that at least one of the students has the same birthday as another student in the class? Please provide your answers in the form of a fraction.
General
2 months ago
In 2003, 6 percent of vacation-home owners were minorities. The National Association of Realtors (NAR) reported the results of a May 2006 survey of vacation-home owners. In a sample of 416 households that owned one or more vacation homes, 46 were minorities. Do the survey results allow the NAR to conclude at a 0.01 level of significance that the percentage of vacation-home owners who are minorities is larger than 6 percent?
General
2 months ago
Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x? Select three options.
General
2 months ago
Polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra fingers or toes. It is reported in about one child in every 500 . A young obstetrician celebrates her first 100 deliveries. What is the probability that the obstetrician has delivered no child with polydactyly? (Enter your answer rounded to four decimal places.)
General
2 months ago
Use an algebraic equation to find the measures of two angles described below. Begin by letting x represent the degree measure of the angle's complement. The measure of the angle is 14 degrees greater than its complement What is the measure of the complement and the measure of the other angle.
General
2 months ago
Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X denote the number of parts in the sample of 20 that require rework. A process problem is suspected if X exceeds its mean by more than 3 standard deviations. a. If the percentage of parts that require rework remains at 1%, what is the probability that X exceeds its mean by more than 3 standard deviations? b. If the rework percentage increases to 4%, what is the probability that X exceeds 1? c. If the rework percentage increases to 4%, what is the probability that X exceeds 1 in at least one of the next five hours of samples?
General
2 months ago
You have 60 feet of fencing to create a rectangular garden. One side of the garden will be against an existing shed, so that side does not require fencing. Determine the dimensions of the garden if the area is 400ft2. Determine the dimensions of the garden that yield the maximum area.
General
2 months ago
Carter cadillac pays commission to its car sales staff. They are paid a percent of the profit the dealership makes on the car, not on selling price of the car. If the profit is less than or equal to $500, the commission rate is 18%. If the profit is greater than $500 and less than or equal to $2000, the commission rate is 24% of the profit. If the profit is above $2000, the rate 27% of the profit. If p represents the profit, express the commission c(p) algebraically as a split function.
General
2 months ago
Solve the system of equations by substitution. x + y = A system of equations. StartFraction 3 over 8 EndFraction x plus StartFraction one-third EndFraction y equals StartFractions 17 over 24 EndFraction. x + 7y = 8
General
2 months ago
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. Below what value are approximately 97.5% of the students?a. $215b. $195c. $255d. $275e. $295
General
2 months ago
A newspaper reports that the governor's approval rating stands at 66%. The article adds that the poll is based on a random sample of 597 adults and has a margin of error of 5 %. What level of confidence did the pollsters use?
General
2 months ago
The sum of two numbers is 107. The larger number is 10 less than twice the smaller number. Find the two numbers
General
2 months ago
Round your answer to two decimal places.In this right triangle, the length of the hypotenuse, BC, is____ units.
General
2 months ago
Graph y = x, y = 2x, and y = 3x in the same coordinate plane. How are the graphs alike? How are they different? Compare the slopes
General
2 months ago
Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the water level drops at 6 ft divided by min, at what rate is water (in ft cubed divided by min) draining from the tank when the water depth is 3 ft?the figure is a cone with a radius of 2 and a height of 6
General
2 months ago
A rock is thrown upward with an initial velocity of 122 feet per second. The height of the rock ,(h), in feet after t seconds is given by the function ℎ() = −162 + 122 + 10.How long does it take the rock to reach its maximum height? What is the rock’s maximum height. Round to the nearest hundredth, if necessary.
General
2 months ago
Alyssa had an average of $12,000 invested in her no-load mutual fund this past year. The fund had a management fee of 1.5percent and an additional 12b-1 fee of 1.25 percent. How much did mutual fund fees cost Alyssa last year?
General
2 months ago
Most professional athletes will agree that resources (money, equipment, etc.) matter when it comes to success in sports. One way to measure a country’s success in sports would be to count the total number of medals won by athletes from a country in the Olympics. We know that the average number of medals won by countries in the 2012 Summer Olympics was 11.4. Countries not classified as first world countries have fewer resources to aid in the training of their athletes. A random sample of countries with fewer resources was chosen and the total medal count from the 2012 Summer Olympics was recorded.Data18 13 20 15 12 12 10 617 6 7 6 12 9 11 1010 5 8 7 7 4 4 43 2 4 3 2 1 1 11 1 6 5 3 2 4 33 2 2 2 2 2 2 11 1 1 1 2 2 2 11 1 1 1 1 1 (a) Consider the question: Do countries with fewer resources win fewer medals in the Olympics? State the null and alternative hypotheses relative to this question.(b) Find the t test statistic.(c) What is the P-value for your t?(d) Is the data significant at significance level α = 0.05?
General
2 months ago
The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. What is the likelihood the sample mean is at least $25.00?
General
2 months ago
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