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1.A research study performed at checkout lines at Publix Supermarket in South Florida revealed that between 4pm and 7pm on weekdays there is an average of 4 customers waiting in line. What is the probability that you visit a Publix today during this period and find:No customers waiting?4 customers waiting?4 or fewer customers waiting?4 or more customers waiting?
2. A study on crime indicated that 3.1 car thefts occur each minute in the USA. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
Calculate the probability that exactly 4 thefts occur in a minuteWhat is the probability there are no thefts in a minute?What is the probability there is at least 1 theft in a minute?
3. The annual sales of playground equipment follow the normal distribution. However, the mean and standard deviation are unknown. 40% of the time sales are more than 470,000 and 10% of the time sales are more than 500,000.Calculate the mean and standard deviation.
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
Use the arc length formula to find the length of the curve
production planning department of graystar prefabricated homes company has to decide which types of homes to produce
a typical sheet of newspaper is a rectangle that measures 22.75 inches tall by 15 inches wide. you want to maintain the
The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
Suppose that Lesley earns a gross salary of $43,500 per year and is paid biweekly. She pays $150 with each paycheck for deductions for health insurance and other benefits. How much will be deducted from her biweekly paycheck for FICA?
What happens to the graph if T = 50? When tastes and preferences change ceteris paribus, what happens to demand?
suppose that the cost function in exercise 45 is C(x) = -2.5x+1, where z is the index-fund fee. (the company has a fixed cost of $1 billion dollars, and the cost decreases as a function of the index-fund fee.) find the value of x that maximizes pr..
an artist's canvas forms a golden rectangle. The longer side of the canvas is 33 inches. How long is the short rider? round to the nearest tenth of an inch.
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
after 3 months the simple interest earned annually on an investment of $7000 was $222. find the interest rate to the nearest tenth of a percent.
Why is it important to be able to remove parentheses? Why is it important to be able to combine like terms? Provide examples that illustrate both of these processes.
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