The 8 sides of an octahedron are labeled with the numbers 1 through 8. Some of the numbers are written in red, and some of the numbers are written in black. The probability that a number is both even and written in red is 0.375. If the events that a number is even and that a number is written in red are independent, what is the probability that a number is red? Express your answer as a decimal.

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️ i have been waiting for almost an hour with no ! only answer if you absolutely know the ! explain your answer and ensure that it is you so so much!

Find the solution(s) to the system of equations. select all that apply y=x^2-1 y=2x-2

(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?