Itook the goat to the paschal. knowing that it is very stubborn and can run away, i decided to tie it up. i wanted her to eat as much grass as possible and to reach the goal did the following: i pounded two pegs and pulled a rope between them; the rope had a little ring that can freely move along the rope; finally, i attached another rope to the ring and tied my goat to that rope. when i came back, i noticed that the grass is eaten evenly and i spotted a shape! using ruler and compass, can you reproduce that shape (assuming that the goat used all space the ropes allowed her to)?

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Write each of the following numerals in base 10. for base twelve, t and e represent the face values ten and eleven, respectively. 114 base 5 89t base 12

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.