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1. A 100-pound watermelon is out in the sun. 99% of the watermelon's weight is water. After a few hours, 98% of the watermelon's weight is water. How many pounds of water have evaporated?
2. A bathroom scale is off by a consistent amount. According to the scale, Jim weighs 170 pounds, and his wife weighs 130 pounds. When they are on the scale together, they weigh 292 pounds. By how much is the scale off?
3. You begin to fill a bucket with water at 9 am. Each minute you double the amount of water in the bucket. If it takes you 1 hour to fill the bucket, at what time is the bucket one-quarter full?
A grade has 81 girls and 72 boys. The grade split into groups that have the same ratio of girls to boys as the whole grade. How many girls are in a group that has 16 boys
Evaluate the exponential equation for three positive valus of x, three negative values of x, and x = 0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph. State if the equation of the line is asymptotic.
A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8.
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
This algorithm can be used to color a simple graph: First, list the vertices v1, v2, v3,..., vn in order of decreasing degree.
Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gina rented 11 movies total. Sam rented twice as many dramas, three times as many comedies, and twice as many documentarie..
Electrocomp's management realizes that if forgot to include two critical constraints (see Problem 7-14). In particular, management decides that there should be a minimum number of air conditioners produced in order to fulfill a contract. Also, due..
Calculate the test statistic.
For the region bounded by y =2x2, y = 8, 0 ≤ x ≤ 2, please Sketch the region. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region about the y-axis.
A farmer is constructing a rectangular pen by placing a fence on the boundary for dealing with his cattle. If he has 360 feet of fencing, what are the dimensions (length and width) of the pen which will maximize the total area of the pens? Justify ..
in a card game a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a win. if a
Suppose you have triangle ABC and triangle DEF, and they are similar, with a scale factor of 0.5. If the angle measures of ABC are 80°, 80°, 20°, what are the measures of the angles in DEF?
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