Can you help me with my math question? methods
1. solving quadratic equation by extracting square roots
2. Solving quadratic equations is by factoring
3. Solving quadratic equations is by completing the square
4. Solving the quadratic equation is by using the quadratic formula

Given: △acm, m∠c=90°, cp ⊥ am , ac: cm=3: 4, mp-ap=1. find am.

Amap has a scale of 3.5 inches = 20 kilometers. if the distance between two cities on the map is 4.9 inches, what is the actual distance between the two cities?

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.