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One side of a right triangle is known to be 25cm exactly. The angle opposite to this side is measure to be 60 degrees, with a possible error of (+ or -) 0.5 degrees.
a. use differentials to estimate the errors in the adjacent side and the hypotenuse.
b. estimate the percentage errors in the adjacent side and hypotenuse
In a school of 512 students, 91 students are in the band, 213 students are on sports teams, and 40 students participate in both activities. How many students are involved in neither band nor sports?
the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
Find the absolute maximum and absolute minimum values of the function f(x)= ((x^3)/3)-5x^(2)+24x on the interval[-3,10]
Find the probability of making a Type II error.
Because the sample size is small, we must verify that reading speed is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
what is the probability that it alternates between states 1 and 2 for the first four observations (i.e., it occupies state 2, then state 1, then state 2, and finally state 1 again)?
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
A class of students opens several bags, counts the various colors of jelly beans, and calculates the proportion that are pink in each bag. Is it appropriate to use a Normal model to describe the distribution of the proportion of pink jelly beans?
Find the logistic function f with the given properties f(0) = 14, f has limiting value 140, and for small values of x , f is approximately exponential and doubles with every increase of 1 in x.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
a production manager decided that the pages of a book should have a 1 inc margin at the top and bottom and a 1/2 inch margin on each sides . and each page of the book should have an area of 50 inc^2. determine the dimension of the page that will r..
A particle is moving along the curve y= 3 sqrt{4 x + 9}. As the particle passes through the point (4, 15), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this ..
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