Answer:
x=-2
Step-by-step explanation:
2(x+3)-10=4x
2x+6-10=4x
6-10=2x
-4=2x
-2=x
Answer: (use distributive property then add the like terms)
3(2p + 4) - (3p - 4) = 43
6p + 12 - 3p - 4 = 43
3p - 8 = 43
Answer:Answer: 5 - i/2
Step-by-step explanation:
Complex numbers on the complex plane are in essense the same, when it comes to midpoints. Applying the midpoint formula, we get the midpoint as ( 3+2i + 7-3i ) /2 , or (10-i)/2, or 5- i/2
Answer: The mean number of checks written per day 
Standard deviation
Variance 
Step-by-step explanation:
Given : The total number of checks wrote by person in a year = 126
Assume that the year is not a leap year.
Then 1 year = 365 days
Let the random variable x represent the number of checks he wrote in one day.
Then , the mean number of checks wrote by person each days id=s given by :-

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. 
Standard deviation : 
Use a(b-c) = ab - ac
5(x-3) + 2x = 41
5x - 15 + 2x = 41
7x - 15 = 41
7x = 56
x = 8