S.no. 1 2 3 4 5 6 7 8 9 10
Judge A - 5 7 4 1 3 2 9 8 10 6
Judge B - 4 8 3 2 7 1 10 6 9 5
Judge C - 8 6 2 10 4 1 3 9 5 7
Compute the spearman's Rank correlation coefficients for each pair of ranking and decide :
a) which two judges are most alike in their opinion about these artists ?
b) which two judges are different in their opinion about these artists ?
A newly married couple plans to have two children. Naturally, they are curious about whether their children will be boys or girls. Let B denotes that the child is a boy and G denotes that the child is a girl, BB denotes that the first child is a boy and the second child is a boy and GB denotes that the first child is a girl and the second child is a boy. construct the tree diagram of this experiment. Construct the tree diagram of this experiment?
A relation R is called circular if aRb and bRc imply that cRa. Show that R is reflexive and circular if and only if it is an equivalence relation.\
MAXIMA, MINIMA, AND TIME RATES
Solve the following problems completely.
1. Find the positive number such that this number plus 36 times its reciprocal is a minimum.
2. Find two numbers whose sum is 24 such that the sum of the square of one plus six times the other is a minimum.
3. Find the dimensions of the largest rectangle that can be enclosed with 240m of fence.
4. A small jewelry box with square of base is to have a volume of 125 cu.cm. Find its dimensions to require the least amount of material.
5. A lot has the form of a right triangle, with perpendicular sides 60 and 80 feet long. Find the length and width of the largest rectangular building that can be erected, facing the hypotenuse of the triangle.
According to a study conducted by grade 11 students, Php155 is the monthly expense for cellphone loads of high school students on their province. A statistics students claims that this amount has increased since January of this year. Do you think his claim is acceptable if a random sample of 50 students has an average monthly expense of Php165 on cellphone loads? Using 0.05 level of significance, assume that a population standard deviation of Php52.
"\\begin{Bmatrix}\n a \\\\\n b\n\\end{Bmatrix} = 1\/314*\\begin{bmatrix}\n 198 & -26 \\\\\n -26 & 5\n\\end{bmatrix}\\begin{Bmatrix}\n 1230 \\\\\n 6950\n\\end{Bmatrix}"
Find the volume generated by revolving the region y=x, y=x+2, y-axis about the line x = 4.
X= 38; n= 100 - find p =
X= 55; n= 240 - find p=
X= 38; n= 100 find p=