A substance that can act as both an acid and as a base is ________.

What is the molar solubility of calcium carbonate ( CaCO3 ) in water? The solubility-product constant for CaCO3 is 4.5 × 10-9 at 25 °C. SHOW YOUR WORK  

 In which of the following aqueous solutions does the weak acid exhibit the lowest percentage ionization? TELL ME HOW YOU KNOW  

Of the following acids, ________ is not a strong acid.

A 50.0 mL sample of a solution of a monoprotic acid is titrated with a 0.115 M NaOH solution. The titration curve above was obtained. The concentration of the monoprotic acid is about ________ mol/L. SHOW YOUR WORK

Derive the conditional distribution of Y given X = 1 and compute its value at Y = 3. That is, compute . Show the formula you derived for  on your scratch paper.

Compute the expected time (hours) until both Adam and Ben complete their services from when Cindy’s service begins.

Compute the probability that the gambler is ruined (loses all money). Provide three digits after the decimal point. Show your work in answering on your scratch paper.

Consider a DTMC with state space {A, B, C, D, E, F, G} and the following state transitions: A

What is the expected time in hours until the first service completion after Cindy’s service begins?