Answer:
sin(x)−1/3(sin3(x))+C
Step-by-step explanation:
use u substitution method to integrate
Answer:
x = 1, y = -2, z = 3.
Step-by-step explanation:
x + 2y + 2z = 3 A
2x -2y - z = 3 B
x - 2z = -5 C
If we add equations A and B we eliminate y:
3x + z = 6 E
Multiply E by 2 :
6x + 2z = 12 F
Adding C and F we get:
7x = 7
x = 1.
Plug this into equaton C:
1 - 2z = -5
-2z = -5 - 1 = -6
z = 3.
Now plugging x = 1 and z = 3 in equation A:
1 + 2y + 2(3) = 3
2y = 3 - 1 - 6 = -4
y = -2.
Step-by-step explanation:
wait a person was about to report it sorry ;/
had to take it off
Answer: y - 5 = -5/6 (x - 18)
Step-by-step explanation:
The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.
Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).
Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that 
Sample of 10.
This means that 
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
