Reagan scores 1140 on the sat. the distribution of sat scores in reference population is normally distributed with mean 1000 and standard deviation 100. jessie scored 30 on the act. the distribution of act scores in reference population is normally distributed with mean 17 and standard deviation 5. who performed better on the standardized exams and why?

a. reagan scores higher than jessie. reagan’s score was 1140, which is greater than jessie’s score of 30

b. reagan’s scores higher than jessie. reagan’s standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than jessie’s standardized score of 2.6 standard deviations above the mean.

c. reagan scores higher than jessie. reagan’s score was 140 points above the mean of 1000, and jessie’s was 13 points above the mean of 17.

d. jessie scored higher than reagan. jessie’s standardized score was 2.6, which is 2.6 standard deviations above the mean and reagan’s standardized score was 1.4, which is 1.4 standard deviations above the mean.

e. jessie scored higher than reagan. jesus is only 6 points from the top score of 36 on the act, and reagan is 460 points from the top score of 1600 on the sat.

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Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

Can you divide 25 into 4 equal groups? explain why or why not.