Answer:
y=-x+5
Step-by-step explanation:
Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
He will have a 1/531,441 chance of winning next week.
There are 10 balls in each container; for 6 containers, this gives us 10^6 = 1,000,000. There is 1 correct combination of balls, so his chance the first week is 1/1,000,000.
The second week, 1 ball is removed from each container; this will give us 9^6 = 531,441 chances. There is 1 correct combination, so he will have a 1/531,441 chance of winning.
Answer:
Step-by-step explanation:
sin 45 = x/12
x = 12 sin 45
x = 6√(2)
answer is D
Answer:
(5, 20)
Step-by-step explanation:
