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A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
How much wire (in m) should be used for the square in order to maximize the total area?
M = 0
How much wire (in m) should be used for the square in order to minimize the total area?
M= ?
I've tried 16.8 but its wrong.
A chemical company alleged that the average weight of the bag of chemical is 30kgs. with a standard deviation of 1.1 kgs. A sample of 26 bags was taken and revealed a mean weight of 28.9 kgs. Shall we accept the allegation of the chemical company? Use .01 level of significance
Find the initial speed which a projectile must be subjected to give it a maximum horizontal range of 490m. Assume the acceleration due to gravity as g=10m/s
Define right coset of a group. Prove that there is a one-to-one correspondence
between any two right cosets of a subgroups H in a group G
State and prove M, test for uniform convergence of sequence of real valued functions defined on [a, b].
A nutrition store in the mall is selling “Memory Booster,” which is a concoction of herbs and minerals that is intended to improve memory performance, but there is no good reason to think it couldn't possibly do the opposite. To test the effectiveness of the herbal mix, a researcher obtains a sample of 8 participants and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes a standardized memory test. In the general population, the standardized test is known to have a mean of μ = 7. (Set the significance level➔ = .05)
Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it’s Normal.
a. Find the mean and standard deviation for GPA.
b. Calculate a 95% confidence interval for the populations mean GPA.
c. Use Correlation formula to find r between GPA and Age.
d. Find Regression Line Equation
e. If a student’s age is 13, what is the corresponding GPA?
Find P( -1.2 < Z < -0.2 )
Given: Margin of error (d)= 2.19, Confidence interval (CI) of population mean = 90%, and population standard deviation (σ)= 5 solve for the appropriate sample size.
A firm produces two commodities, ×, and y. The demand functions are
P, = 900 - 2x - 2 y
and
P, = 1400 - 2x -4y
respectively, where P, is the price of commodity x and P, is the price of commodity y. The costs
are given by
C, = 7000 + 100x + x2
and
C, = 10000 + 6 y*
a) Show that the firm's profit function is given by
7 (x, y) = -3x? - 10y? 4xy + 800x +1400y -17000
b) Suppose the firm is required to produce a total of exactly 60 units. Find the values of x
and y that maximize profits.
