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Simulate 200 coin-flip experiments with success parameter p = 1/4, and compute the average number of successes ^p, together with an approximate 95% conβdence interval
where zq is the q-th quantile of a standard normal variate. Repeat the experiment 104 times, and plot the approximate conβdence intervals for each experiment, together with a line showing the true success parameter. Calculate the proportion of the 104 repeated experiments that contain the true success parameter, and comment. Supply your code.
A pomegranate is thrown from ground level straight up into the air at time with velocity 150 feet per second. Its height at time -15tsquared+150t seconds is . Find the time it hits the ground and the time it reaches its highest point. What is the ..
Determine whether the series is convergent or divergent: 9/(n(n+2)) from n=1 to infinity.
A building is 410 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 23 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Using set theory to solve for the probability. A survey of a group of military personnel revealed the following information
Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find.
An animal population can be modeled by function p(t) = 6+5.2*e^(0.02t). What is the average size of the population of these animals over the first 10 years.
find the exponential function of the form y=ae kx that goes through the points (0,4) and (2,9).show all your steps and use four decimal places.
A swimming pool is 16 feet wide and has transverse cross-sections which look like: If the pool is being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 2 feet?
Kari is buying a new window. the new window is rectangular , with a semicircle on top of the rectangle. the vertical length of the rectangle of the rectangle is 48 inches. the horizontal width of the window is 32 inches. what is the area of the wi..
compare and contrast permutations and distinguishable permutations. provide a formula for each.state the fundamental
Natural category representation To develop a theory of how people might represent mathematical objects in the mind, we should look to theories of how they represent more familiar objects such as dogs or tomatoes. What of this mathematics as tools?
Which method do you prefer when solving a system of equations? Why? What circumstances would cause you to use a different method?
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