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A new bridge is being constructed. The space between the support needs to be 1050 feet; the height at the center of the arch needs to be 350 feet. An empty tanker needs a 280 foot clearance to pass beneath it.
a) find the equation of a parabola with these characteristics. Place the vertex at the origin.b) How wide is the channel that the tanker can pass through?c) If the river were to flood and rise 10 feet, how would the clearance of the bridge be affected?
Determine which of the congruences has a solution and why? (Give explanation).
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
ow large a sample must be selected if he wants to be 99 percent confident of finding whether the true mean differs from the sample mean by 2.5 hours?
A particle moves along the graph of the function y=8/3x^3/2 (the 3/2 is the exponent on the x) at the constant rate of 2 units per seconds.
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
on friday a local hamburger shop sold a c ombined total of 426 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. how many hamburgers were sold on friday?
A wooden artifact contains 65% of the Carbon-14 that is present in living trees. How long ago was the artifact made?(the half-life of Carbon-14 is 5730 years.)
Find which two variables have the weakest strength of relationship?
A ladder is leaning against the side of a building. The base of the ladder is 8 feet from the base of the building, and the top of the ladder touches the building at a point that is 15 feet above the ground. How long is the ladder?
Suppose CUNY professors have an average life, normally distributed, of 80 years with a population standard deviation of 9 years.
A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
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