What is the value of Sine theta in the diagram below?

A unit circle is shown. A radius with length of 1 forms angle theta in the first quadrant. The radius goes to point (StartFraction 7 Over 25 EndFraction, StartFraction 24 Over 25 EndFraction) on the unit circle. StartFraction 7 Over 25 EndFraction StartFraction 7 Over 24 EndFraction StartFraction 24 Over 25 EndFraction StartFraction 24 Over 7 EndFraction

If f(x)=2x-6 and g(x)=3x+9, find (f-g)(x)

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?

Deena is planting two rectangular gardens. one garden is 3.67 feet by 8.56 feet, and the other garden is 3.67 feet by 7.45 feet. which expression does not respresent the total area in square feet of the two gardens