Consider the economies of Sporon and Gobbledigook, both ot which produce gobs ot goo using only tools and workers. Suppose that, during the ourse of 20 years, the level of physical capital per worker rises by 5 tools per worker in each economy, but the size of each labor force remains the same complete the followingYear Hermes Physical Capital Labor Force Output Productivity (Tools per worker) (Workers) (Gobs of goo) (Gobs per worker) 20218402,000 203112402,400 Year Gobbledigook Physical Capital Labor Force Output Productivity (Tools per worker) (Workers) (Gobs of goo) (Gobs per worker) 20215401,200 20319402,000 Initially, the number of tools per worker was higher in Hermes than in Gobbledigook. From 2021 to 2031, capital per worker rises by 4 units in each country. The 4-unit change in capital per worker causes productivity in Hermes to rise by a amount than productivity in Gobbledigook. This illustrates the effect.

1c-2 m405 what values are needed to make each expression a perfect square trinomial? 32 + 2x+ 2-20x + 22+5x+

Twenty-five percent of the customers entering a grocery store between 5 p. m. and 7 p. m. use an express checkout. consider five randomly selected customers, and let x denote the number among the five who use the express checkout.

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.