Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
Answer:
a) x=93
Step-by-step explanation:
Answer:
a. False
b. True
Step-by-step explanation:
Given that:
The sample size of the college student n = 100
The population of student that participated p = 38
We are to identify from the following statement if it is true or false.
From part a;
It is false since the random samples not indicate the population perfectly. As such we can't conclude that the proportion of students at this college who participate in intramural sports is 0.38.
The statement in part b is true because the sampling variation, random samples also do not indicate the population perfectly but it is close to be 0.38. Thus, it is suitable to conclude that the proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.
Answer:
12/5 - 2p
Step-by-step explanation:
Use the distributive property:
2/5 * 6 - 2/5 * 5p = 12 / 5 - 2p
Your Answer Is 40 It’s Simple Really If You Kinda Think About It But Has A Fraction It Would Be 40/1
