Gary and Ann have a joint checking account. Their balance at the beginning of October was $9,145.87. During the month they made deposits totaling $2,783.71, wrote checks
totaling $4,871.90, paid a maintenance fee of $12, and earned $11.15 in interest on the
account. What was the balance at the end of the month?

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.

Eric and shiloh each have a savings account. the ratio of eric’s account balance to shiloh’s account balance is 4: 3. together they have a total of $140 in their accounts. use the tape diagram below to you determine the balance of eric’s account.

The distance a bicycle travels with each turn of its wheels is about 3 1/7 times the tire diameter. the tires on mike’s bicycle have a diameter of 24 1/2 inches. how far does it travel with each turn of the wheels?