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Construct a box-and-whisker plot for the data values shown. 4.; 4; 4; 14,29; 29; 44; 49; 50; 60; 74; 110; 140; 240; 330


I have 6 colors which is Blue, Red, Yellow, Orange, And Green and each of them is equal to each other, so now what is the propability that i will get red?


Proof using Osborne's rule that 1-tanh^2x=Sech^2x

Proof using Osborne's rule that cosh2A=Cosh^2A+Sinh^2A

Use a Venn Diagram to illustrate the following:

a. The subset of odd integers in the set of all positive integers not exceeding 10

b. The set of all months of the year whose names do not contain the letter R in the set of all months

of the year



2. The mathematics teacher claims that the mean IQ of Statistics students is 110 with standard deviation of 12. The mean IQ of 28 randomly selected Statistics students is 112. Test the difference of the population and sample means at 5% level of significance.

Decide for a situational problem you would like to discover in your barangay, example, you claim that 75% preferred drinking water during this time of pandemic rather than soft drinks. Make a survey by deciding the number of respondents, you can asked them through messenger, text or call for physical distancing during this time of pandemic, then formulate your hypothesis and choose a significance level size for α. After having all the data needed, show the complete step by step solution for the problem.




What is the t value of the distribution with a= 1% and n=8 under the one tailed distribution

Given z1=2<45degrees, z2=3<120degrees, z3=4<180degrees. Determine the following:

a) (z1)^2+z2/z2+z3

b) z1/z2*z3


1.Develop your own original LP problem with two constraints and two real variables.

(a) Explain the meaning of the numbers on the right-hand side of each of your constraints.

(b) Solve your problem graphically to find the optimal solution.

(c) Illustrate graphically the effect of increasing the contribution rate of your first variable by 50% over the value you first assigned it. Does this change the optimal solution?