Answer: The complete question is found in the attachment
Step-by-step explanation:
Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases
P(an ace) = 1/6
= 0.1667
= 16.67%
a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls
Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.
b) More than 15% interval includes 16.67. So, it is better to roll 600 times
c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better
d) Larger number of trials is better to get exactly 16
So, 600 rolls is better
Answer:
- 8, 15, 17 — yes
- 15, 20, 25 — yes
- 20, 48, 52 — yes
- 2, 9, 11 — no
- 39, 80, 89 — yes
Step-by-step explanation:
The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.
{64, 225, 289}, yes
{225, 400, 625}, yes — a 3,4,5 triple multiplied by 5
{400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4
{4, 81, 121}, no*
{1521, 6400, 7921}, yes.
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* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.
Answer:
S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5
Step-by-step explanation:
Given the sequence to find the sum up-to 12 terms
As we know that
A geometric sequence has a constant ratio 'r' and is defined by
∵ 
Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5
