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Utilizing what you identify as appropriate independent and dependent variables create first a functional model then a theoretical model of the demand for pizza at a pizza restaurant. (Remember, functional can be of the form a = f(b,c,d,e). Theoretical follows the format a = alpha + B1 (b) + B2 (c) + B3 (d) + B4 (e).
A computer password consist of any five capital letters from the ordinary english alphabet. How many different passwords start with the letter z?
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
The body of a murder victim was discovered at 11:00 AM. The medical examiner arrived at 11:30 AM and found the temperature of the body was 94.6o F. The room temperature was 70o F. One hour later the body temperature was 93.4o F. Estimate the time..
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student's t-distribution with P(T
Hypothesis testing for single mean.
the volume V of a sphere with radius r is given by V=4/3 pi r squared. Identify a reasonable domain and range for the radius and volume.
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error
Given the curves r=2sin(θ) and r=2sin(2θ), 0 ≤ θ ≤ π2, find the area of the region outside the first curve and inside the second curve.
money is deposited into the account at a continuous rate of $2000 p.a at a continuous rate of 8% p.a compounded quarterly. Express the amount as an exponential function of time hence find the amount in the account after 5 years.
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
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