Describe an efficient algorithm that, given a set \{x_1, x_2, \ldots, x_n\}{x 1 ,x 2 ,…,x n} of points on the real line, determines the smallest set of unit-length closed intervals that contains all of the given points. argue that your algorithm is correct.

Item 8 an account earns simple interest. $700 at 8% for 6 years a. find the interest earned. $ b. find the balance of the account. $

On the first of each month, shelly runs a 5k race. she keeps track of her times to track her progress. her time in minutes is recorded in the table: jan 40.55 july 35.38 feb 41.51 aug 37.48 mar 42.01 sept 40.87 apr 38.76 oct 48.32 may 36.32 nov 41.59 june 34.28 dec 42.71 determine the difference between the mean of the data, including the outlier and excluding the outlier. round to the hundredths place. 39.98 39.22 0.76 1.21

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato