Arectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) how many cubes with side lengths of 1 2 in. will fit into the prism? show your work or explain your thinking! (b) what is the volume of this prism? write your answer as a simplified mixed number. show all of your work! someone will give brainliest (50 pts)

Pick the description of a geometric object that best matches the real world object box for a deck of card

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.

Which elements in the set are integers? –8, 3⁄4, √ 18 , 0, √ 16 , 5, –2⁄7, 6 a. –8, 0, 5, 6 b. –8, 0, √ 16 , 5, 6 c. 3⁄4, √ 18 , √ 16 , 5, –2⁄7 d. –8, 0, √ 18 , 5, 6