Carolyn and her brother Josh attended their family reunion last weekend. Carolyn left their home on Saturday morning traveling at a speed of 27 miles per hour. That evening, Josh made the same trip and left their home traveling at a speed of 45 miles per hour. Josh’s time was 2 hours less than Carolyn’s time. How far did they travel?

Which is the graph of the function y=2(4)^x

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

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?