1) The difference between   five more than twice a number and the number    is    10.  What is the number?  2) When a number is increased by 3 and the result is multiplied by 2, the product  is  14.  What is the number?

3) The sum of three consecutive odd integers  is  20 more than the third odd integer.  What are the three odd integers?

4) Find two consecutive even integers such that their sum  is  equal to the difference of 3 times the larger & 2 times the smaller.

Which value is not a solution of 8x^3 – 1 = 0

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.

The following graph of f(x)=x^2 has been shifted into the form f(x)=(x-h)^2+k