An architect is designing a house on an empty plot. The area of the plot can be modeled by the polynomial 5x^4+12x^2+10x, and the area of the house’s base can be modeled by 3x^3+10x−15. The rest of the plot is the yard. What’s the yard’s area?

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

There is an entrance to the computer room at point e which lies on ab and is 5 feet from point a. plot point e on the coordinate plane. find the distance from the entrance at point e to the printer at point e