Exercice 5. D'après Brevet On considère un cercle de centre 0 et de diamètre (BC) tel que BC = 8 cm.
On place sur ce cercle un point A tel que BA = 4 cm.
1. Faire une figure en vraie grandeur.
2. Démontrer que le triangle ABC est rectangle en A.
3. Calculer la valeur exacte de la longueur AC. Donner la valeur arrondie de AC au millimètre près,
4. Déterminer la mesure de l'angle ABC.
5. (Bonus) On construit le point E symétrique du point B par rapport au point A. Quelle est la nature du triangle BEC?
Justifier.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10