does anyone know how to solve this? ​ I have to find lengths FJ, DM, and EM

Answer:

FJ= 24

DM= 16

EM= 18

Step-by-step explanation:

The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.

So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, FJ is 24.

It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and DM equal to 16

Similarily, EM would be twice as long as ML. It says that ML=9 so that would make EM=18

Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using α = 0.01, what conclusion should Simone reach?


Because the P-value of 0.035 > α, Simone should reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

Because the P-value of 0.035 > α, Simone should reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

Because the P-value of 0.035 > α, Simone should fail to reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%

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OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
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