Use the properties of the Legendre Symbol and the quadratic reciprocity theorem to calculate (88 /139). You may use any correctly stated properties of (-1 / p) and (2 / p) or of the general Legendre symbol (a / p) but should NOT use Euler's criterion directly.

Q: Let f(z)= z* –4z° +11z? -14z+10. Given that 1+i is a zero of f, find the other zeros of f.

A:

Q: Please do and explain d, e, f

A: (d) We are given that (x, y) ∈ R if and only if            x ≡ y (mod 7)       Now, it is obvious…

Q: Evaluate ∫ csc24x dx

A:

Q: How do I calculate for ucl x chart and lcl x chart

A: we need to use the concept of control charts .

Q: Find the range 6, 3, 1, 9, 2, 19, 25, 11, 15, 10, 8, 17?

A: We have given that the data set  6, 3, 1, 9, 2, 19, 25, 11, 15, 10, 8, 17.

Q: Please give answers in step by step

A: Step 1: Analyze the problem. Step 2: Check if there's lacking. Step 3: Give a suggestion

Q: can you write it on a paper or make it clear

A: Apologies for the inconvenience. If you do not see the math expressions properly, then please…

Q: In west Texas, water is extremely important. The fllowing data represent pH levels in ground water…

A: The frequency distribution for the pH of ground water in 102 wells is constructed by using the…

Q: According to the principle of moments

A: To find out the principle of moments .

Q: Find the distance betweem 440 and 175. Preview Box 1: Enter your answer as a number (like 5, -3,…

A: Given numbers are                                    440 and 175 distance between two numbers n and…

Q: This scale of earthquake intensity ranges from 1-12?

A: modified Mercalli intensity scale

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.