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1. Find the dimension of a rectangle with perimeter 200 m and whose area is as large as possible
2. The sum of two positive numbers is 10. Find the numbers if the sum of their squares is a minimum
X. 1 2 3 4 5
P(x) 1/6 a/6 5/24 a/6 a/12
Find a
Find P(4)
Find P(5)
Pa answer na po kaagad
Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Find each of the following percentile points and draw the appropriate normal
curve. Complete your procedures.
1.The results of the entrance examination for freshmen are normally distributed
with 𝑥 = 87 and 𝑠 = 12.5. What is the percentile rank of a score of 90?
There are 7 boys and 5 girls in a youngsters’ club. A committee of 3 boys and 2 girls is to be chosen. How many different possibilities are there?
Suppose that the statement p → ¬q is false. Find all combinations of truth values of r and s for which
(¬q → r) ∧ (¬p ∨ s) is true.
Fit a least square linear approximation Y=a+bX for the data X: -1, 0, 1, 2, 3 and Y: 0, 1, 2 , 9, 29
A certain type of flashlight battery lasts on the average of 5 years with a standard deviation of 0.75 year. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 3.5 years Find the probability
Find all values of lambda such that ,the following system has a none-zero solutions.
2x+y= lambda x
4x-y =lambda y
Your friend mistakenly wrote down the first six multiples of 12, as: 1,2,3,4,6 and 12.show how you would explain how to find the first six multiples of 12.
