A function f: Z× Z → Z is defined as f(m,n) = 2n-4m. Verify whether this function is injective and whether it is surjective.

P VALUE PLEASE   In anthropological studies, an important characteristic of fossils is cranial capacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One measure that has been used is the length of the lambda-opisthion chord. An article reported the accompanying data for n = 7 Homo erectus fossils. x (chord length in mm) 78 74 78 80 83 86 87 y (capacity in cm3) 850 775 750 975 915 1,015 1,030 Suppose that from previous evidence, anthropologists had believed that for each 1 mm increase in chord length, cranial capacity would be expected to increase by  20 cm3.  Do the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t =   Use technology or the Distribution Calculators page in SALT to find the P-value for this test. (Round your answer to four decimal places.) P-value =…

month day year avgtemp 76.3 79.7 79.5 76.1 1 2017 2 2017 3 2017 4 1 1 3 2017 2017 6 2017 4 1 74.3 72.1 5 1 1 In the dataframe, df , seen above, how can you rearrange the data so the highest avgtemp (79.7) is on row one. arrange(avgtemp, df) (-arrange(avgtemp, df) df %>% arrange(avgtemp) df %>% arrange(-avgtemp)

Absolute min and max value , local min and max and its values