Answer:
900 coins
Step-by-step explanation:
The Wiseman demands 1 gold coin for the 1st day, then 3 gold coins for the 2nd day, then 5 gold coins for the 3rd day and it continues for 30 days in this pattern.
Therefore, the total number of gold coins that he gets will be,
1+ 3+ 5+ ..... up to 30 terms.
This is an A.P. series with the first term(a) 1 and a common difference(d) 2 and the number of terms(n) 30.
Hence, the sum of the A.P. series is given by
=
= 900 coins (Answer)
Given :
An equation, 2cos ß sin ß = cos ß .
To Find :
The value for above equation in (0, 2π ] .
Solution :
Now, 2cos ß sin ß = cos ß
2 sin ß = 1
sin ß = 1/2
We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .
Therefore,
Hence, this is the required solution.
Correct answer is: P(x<6) is 0.123 and it is usual.
Solution:-
Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90
Then probability of individual takes less than 6 minutes is
P(X<6) =
=
= 0.1230
Typically we say an event with a probability less than 5% is unusual.
But here P(X<6) = 0.123 is greater than 5% hence this is usual.