The average number of kernels on an ear of corn is 800. Suppose a a local farmers co-op used an approved
simulation that predicts the number of kernels of corn per ear of corn in a field in lowa. The farmers wanted
to determine if the corn grown in lowa has more kernels on each cob than the average ear of corn. The table shows
the results of the simulation.
Kernels
< 800 801-820 821-840 > 840
32
18
Frequency
48
10
What conclusions can be made about the number of kernels on each ear of corn grown in lowa?
Drag and drop the correct answers into the boxes to complete the statements.
Based on the simulation, most ears of corn have
the average number of kernels.
One could expect about
of ears of corn in another simulation to have more than 800 kernels.
50%
32%
more than
fewer than

Which table shows a proportional relationship between miles traveled and gas used?

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?