Angela plays soccer and golf for a total of 125 minutes every day. she plays soccer for 45 minutes longer than she plays golf. part a: write a pair of linear equations to show the relationship between the number of minutes angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points) part b: how much time does angela spend playing golf every day? show your work. (3 points) part c: is it possible for angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf? explain your reasoning. (2 points)

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.