Determine which statement uses an invalid argument.

a.
if it is hot outside, then theresa will not wear a scarf and hat. theresa is not wearing a scarf and hat. therefore, it is hot outside.
b.
all practicing nurses must pass the state nursing exam. jane did not pass the state nursing exam. therefore, jane is not a practicing nurse.
c.
if it is monday, then the store opens at 10 a. m. it is monday. therefore, the store opens at 10 a. m.
d.
the public pool closes at 4 p. m. it is 7 p. m. therefore, the public pool is closed.

Cor d? ? me ? 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.

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

An unknown number x is at most 10. which graph best represents all the values of x? number line graph with closed circle on 10 and shading to the right. number line graph with open circle on 10 and shading to the right. number line graph with open circle on 10 and shading to the left. number line graph with closed circle on 10 and shading to the left.