Discrete Mathematics

Peergrade assignment 6(Resubmission) Consider the finite-state automaton A with input alphabet {a, b} givenby the following transition diagram:s0 s1 s2 s3bababaa, b(a) Is the empty string accepted by this automaton?(b) Find three strings that are not accepted by this...

The new math program

A school administrator is planning to switch to a new math program for the 5th grade. The newprogram depends on the abilities of the current 4th grade students who will enter 5th grade forthe new program. The administrator randomly selects n=49 4th graders for ability...

Linear regression

Questions: Evaluate the limit lim h→0 1 4+h − 1 4 h Consider the function f(x) =   x2 − 1 x − 1 if x < 1 c + ln x if x ≥ 1 (a). Evaluate lim x→1− f(x) (b). Evaluate lim x→1+ f(x) (c). Find a value for the parameter c, so that f is continuous at x = 1. Given f(x)...

Mathematics

Solve the following equation for n:n/4 – 5/6 = 5/12Solve the following equation for x:2x/3 – 4x/5 = 1/15Solve the following equation for x:9/(4x) + 1/3 = 5/(2x)Solve the following equation for x:|5x-7| = 14Hint: This absolute value equation will turn into...

Exponential functions

Exponential functions are one of the most applicable topics you will study in College Algebra. Exponential functions are used to describe situations in manyfacets of real life, such as economics, government, biology, chemistry, business, and finance.Read this article...

Mathematics used to calculate properties of stars

Extra Credit Problems (3 points maximum for each solution; organization and clarity matter) The star Polaris has a parallax of 0.00758 seconds of arc and an apparent magnitude of1.97, how far away is it, and what is its absolute magnitude?Formalhaut is an A3 V star in...