A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72.

Using a two-way table, compute the total number of students in the age group 13–18 years who liked rock or pop music. (5 points)

James purchased a $205,000 home with a 30-year mortgage at 5.78%. if makes a $1500 monthly mortgage payment, how many months early will he pay off his mortgage? a. 180 months b. 224 months c. 127 months d. 136 months

Needmax 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.

Marcus and cody both leave the park at the same time, but in opposite directions. if cody travels 6 mph faster than marcus and after 4 hours they are 64 miles apart, how fast is each traveling? solve using rare times time = distance.