Answer: n = 3; n represents a remainder in a division problem.
Explanation:
1) Finding n:
i) Given: 643 = 4 × 160 + n
ii) Do the operations: 643 = 640 + n
iii) Subraction property of the equality: 643 - 640 = n
iv) Do the operations: 3 = n
Answer: n 3
2) Meaning of n
When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.
This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).
Answer:
Step-by-step explanation:
a) 1/4
b)9/4
c)9/4
d)He ate more berries on tuesday as he at 1/4 on monday and 3/4 on tuesday.
3/4 is 3 times more than 1/4
Answer:
The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
Step-by-step explanation:
To solve this question, we use the central limit theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation 
In this problem, we have that:

The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
You can use substitution or elimination method to solve. <em>I used substitution.</em>
2(1/2y + 5) + 3y = -14
y + 10 + 3y = -14
4y + 10 = -14
4y = -24
y = -6
x = 1/2y + 5 = 1/2(-6) + 5 = -3 + 5 = 2
x = 2, y = -6
Answer: A