a. By l'Hôpital's Rule, lim = lim 2 2x 2x - 1 b. lim x sin x = lim f(x)g(x) = lim f'(x) lim g'(x) = ( lim 1)(lim cos x) = 1. - 2r? + x – 2 x? - 1 3x - 4x + 1 lim c. lim 2r ³ – 2r² + x – 2 x² – 4 3x - 4x + 1 = lim 2 d. lim 2 2r

Select the alternative hypothesisHa: Males and females will differ in the amount of money they have on them Ha: Males and females will not differ in the amount of money they have on them

Suppose that A E Mmxn(R) is a matrix of user ratings of various movies (on a scale of 1 to 5). Suppose we have computed the SVD of А, and decided to keep the 10 largest singular values as the most important determining factors for a user's choice of movie. Suppose also that a new user has joined the movie subscription service, and has rated some, but not all, of the movies. To predict how this new user will rate other movies (and thus, to determine which ones to recommend), all movies the user has not watched are assigned the average rating for that movie given by all users to form a new matrix A' E M(m+1)xn(R), and the rank-10 approximation of A' is computed from its SVD. The values in the approximation to A' are taken as the predicted ratings for the new user. Given this procedure, which of the following conclusions is most correct?

Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 636 randomly selected adults showed that 58​% of them would erase all of their personal information online if they could. Complete parts​ (a) and​ (b) below. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

0 ← Students Home A ||| = Mail - Reyes, Evelyn (Sx McGraw Hill Campus x A ALEKS- Evelyn Reyes X https://www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IQirVmXK7o_zpyaAMkjWKJh-pmWc8lyVwdR5rgm0GQhB6WQCFg7x... X O COUNTING AND PROBABILITY Outcomes and event probability Event A: An even number on the first roll or the second roll (or both) Event B: More even numbers than odd numbers Event C: Two or more even numbers Explanation Type here to search Check EOO ✔ A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the even 0 OEE 0 0 6 OEO 04 0 0 Outcomes EEE EOE 000 0 New tab 0 0 0 0 0 EEO OOE 0 0…

Suppose that BC financial aid allots a textbook stipend by claiming that the average textbook at BC bookstore costs $ 79.12. You want to test this claim. The null and alternative hypothesis in symbols would be: O Ho:u 2 79.12 H1:4 79.12 O Ho:p = 79.12 H1:p # 79.12 O Ho:H 79.12 O Ho:p 2 79.12 H1:p < 79.12 O Ho:u = 79.12 H1:µ 7 79.12 The null hypothesis in words would be: OThe average price of all textbooks from the store is $ 79.12 O The average price of textbooks in a sample is $ 79.12 O The average of price of all textbooks from the store is greater than $ 79.12. OThe proportion of all textbooks from the store that are less than 79.12 is equal to 50% OThe average of price of all textbooks from the store is less than $ 79.12. The population standard deviation is known to be 10 and based on a sample of 50 textbooks at the store, you find an average of 93.32. The point estimate is: The 95 % confidence interval is: to (to 3 decimals) Based on this we: O Reject the null hypothesis O Fail…