For each initial-value problem given below, three choices for a possible solution y = y(x) are given. determine whether each choice is or is not a solution to the given initial-value problem. = dx i ii. y(x) = 24x + 1 a..= 4y i. y(x) = €4x b. x y = 2y i. y(x) = x2 with y(o) = 5 ii. y(x) = 5e4x with y(2) = 20 ii. y(x) = 10x iii. y(x) = 5x2 n. 2 19) on
c.- 9y = 0 with y(0) = 1 and y'(o) = 9 i. y(x) = 2e3x – 2-3x ii. y(x) = 237 iii. y(x) = 23x +1. @242 - 4x + 6y = 36x6 with y(1) = 1 and y'(1) = 12 i. y(x) = 10r3 - 9x2 ii. y(x) = 3x - 2x2 ü. y(x) = 3x6 – 2x3 1.5. for the following, let dr.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

On this question. a hypothermia occurs when a person's body temperature drops below 95 degrees fahrenheit. write and solve an inequality that describes how much lower the body temperature of a person with hypothermia will be than the body temperature of a person with a normal temperature of 98.6 degrees fahrenheit