How long is the arc intersected by a central angle of 5pi/3 radians in a circle with a radius of 2 ft? round your answer to the nearest tenth. use 3.14 for pi

a. 2.6 ft
b. 7.0 ft
c. 10.5 ft
d. 31.4 ft

Miguel has 334 baseball cards and 278 football cards. he says, i have 612 cards in all. is that reasonable? explain using the words round and estimate.

Aplot of land in the shape of a vertical ellipse has a pole at each focus. the foci are 8 feet from the center. if the plot of land is 34 feet across the vertical axis, then it is (a.24 b. 30 c. 32 d. 36) feet across the other axis. the eccentricity of the ellipse traced by the boundary of this plot, rounded to the nearest thousandth, is (a.0.543 b.0.515 c.0.471 d. 0.459)

Suppose a batch of steel rods produced at a steel plant have a mean length of 150 millimeters, and a standard deviation of 12. if 100 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.5 millimeters?