The number of commitees of 6 from group of 10 people is 6c10 = 210, the probability of 2 persons to be taken into the same commitee is 6/10*5/9 or 1/3 so number of commitees without vise- and president together are 210*2/3 or 140
Óìåþ êàòàòüñÿ íà âåëîñèïåäå ñ çàêðûòûìè ãëàçàìè :)
In the math book you can see () that proportion of items with normal distribution depending on mean and standart deviation is 68%:95%:99%:100% (M+1sd, 2sd, 3sd, more) or in language of 34:14:2 it is 34:13,5:2:0,5 and the correct answer is 5/32 (not 1/8)
Total number of variants is 7*6*5. The number of variants between 300 and 700 is 4*6*5 and the number of variants between 650 and 700 is 10 (51. 52. 53. 54. 57. 71. 72. 73. 74. 75 :) ). The resulting probability is (4*6*5-10)/(7*6*5) = 110/210 or 11/21 hence A
Easy one (while i spent some time thinking).
Let center of the circle to be D.
Teorem is that if PRO is 35° then PDO is 2*35°=70° hence PDQ = 180 - 2*70 = 40°. And arc PQ =π*OR* 40/360=2π
28 - number of 100$ chips
112 - number of 20$ chips
x - number of chips in bet, hence
(112-0,9x)/(140-x)=0,7 =>112-0,9x=98-0,7x =>0,2x=14 => x=70
Money bet = 70*0,1*100$+70*0,9*20$=700$+1260$=1960$ (A)