Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \ne 1.$ Compute \[\omega^{16} + \omega^{18} + \omega^{20} + \dots + \omega^{54}.\]

Let w be a complex number such that w^7 = 1 and w does not = 1.
Compute w^16 + w^18 + w^20 + ... + w^54

Do graduates from uf tend to have a higher income than students at fsu, five years after graduation? a random sample of 100 graduates was taken from both schools. let muf be the population mean salary at uf and let mufsu be the population mean salary at fsu. how should we write the alternative hypothesis?

The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. last year there were 63 inches of snow. find the number of standard deviations from the mean that is, rounded to two decimal places. 0.44 standard deviations below the mean 2.50 standard deviations below the mean 0.44 standard deviations above the mean 2.50 standard deviations above the mean

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.