Suppose you set up a carnival booth game at a local fund-raising event. The game consists of rolling a giant six-sided die. The participants pay $3 per roll. A participant who rolls a 6 wins a prize that costs you $8. A participant who rolls a 1 wins a prize that costs you $2.50. Participants who roll other numbers win nothing.  You will have to find out the expected value of your gain by answering several questions below.    

Find the expected gain from one game (the expected value, mean, of X). Round your answer to two decimal places.

Let X be your gain after one game. Complete the probability table below. That is find the following probabilities: P(rolling 6)  P(rolling 1)  P(rolling a number other than 6 or 1) Probability table Rolls Your gain, X P(X) 6  -$5 (participant pays $3 to play and wins. You pay $8) 1 $0.50 (participant pays $3 to play and wins. You pay $2.50) A number other than 1 or 6 $3 (participant pays $3 to play and lose)  

According to the Bureau of Labor Statistics 24% of employed persons did some work at home on days they work in 2019. Suppose a random sample of 400 employed people is taken.  Use this information to answer questions 3 through 9.

Elige la preposición correcta. Pablo y yo nos conocemos [1] más de 20 años. Vamos hoy [2] cine. Creo que vivimos en California [3] unos 8 años. Hemos estado estudiando para este examen [4] unas 6 horas. Mis amigos se fueron a vivir a España [5] tres semanas. Ayer fui a visitar a mis padres y pasé [6] tu casa, pero no pude parar porque no tenía tiempo. La escuela [7] amigo de mi hijo está cerrada [8] un brote de COVID. Está bien que vayas de vacaciones, pero tienes que regresar [9] aniversario de mis padres.

The KSA’s or knowledge, skills and abilities to perform a job are part of a ________________.

Simplify the expression.  Write the answer using positive exponents only.  

  According to my syllabus, the 12 quizzes I will be taking is worth 25% of my grade

Determine whether the algebraic expression is a polynomial.  Answer YES or NO. If it is a polynomial, state the degree and then state whether it is monomial, a binomial, or a trinomial.  

The primary physical property that sorts the Earth, ocean, and atmosphere is…