(1) Setup but do not solve the initial value problem necessary to solve the following problem. A 100 gallon tank contains 80 gallons of pure water. A brine solution with 4 lb/gal of salt enters the tank at 3 gal/min, and the well-mixed solution leaves at the rate of 2 gal/min. How much salt is in the tank when the tank fills completely? Be sure to indicate what you are to solve for but do not compute the numerical value

Plz a. s. a. p.the table shows the number of male and female contestants who did not win a prize. what is the probability that a randomly selected contestant won a prize, given that the contestant was female? write the probability as a percent. round to the neares tenth, if needed.

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.

Alocal restaurant advertises that the mode cost of their most popular meals is $8. if the costs of their most popular meals are $7, $8, $8, $12, $13, $15, $17, $18, and $20, which word or phrase best describes this kind of advertising? accurate inaccurate accurate, but misleading inaccurate and misleading