Math 4 Final Exam Fall 2020
17.)
To find the distance from the edge of a lake to the tree on the island in the lake, Lisa
sets up a triangular configuration as shown in the diagram. The distance from Location A
to Location B is 97 meters. The measures of the angles at A and B are 46 and 103.
What is the distance from the edge of the lake at B to the tree on the island at C? Round
the distance to the nearest tenth of a meter.
A
B
A.) 120.6 meters
B.) 135.5 meters
C.) 140.8 meters
D.) 160.1 meters

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.