3.
a. using a diagram of the unit circle centered at the origin, explain why ) = cos(x) is an even
function.
b. using a diagram of the unit circle centered at the origin, explain why sin(x − = sin(x) for all
real values x.
c. explain why tan(x + = tan(x) for all real valuesx.

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

The birth weights of newborn babies in the unites states follow in a normal distrubution with a mean of 3.4 kg and standard deviation of 0.6 kg. reaserches interested in studying how. children gain weights decide to take random samples of 100 newborn babies and calculate the sample mean birth weights for each sample

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.