Luego de dormir 6 horas al día a usted le quedan 18, que puede repartir entre estudio y ocio. X representa las horas dedicadas al ocio y la variable Y las horas de estudio. Represente la relación lineal existente entre
las distintas combinaciones posibles de X e Y.​

Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function