Answer:
2
Step-by-step explanation:
Let's solve the given system of equations.
<u>Given system</u>
x +3y= 10 ----(1)
-2x -2y= 4 ----(2)
From (2):
-2(x +y)= 4
Dividing both sides by -2:
x +y= -2 ----(2)
Thus, options 3 and 4 are incorrect as x +y≠ -2.
(1) -(2):
(x +3y) -(x +y)= 10 -(-2)
Expand:
x +3y -x -y= 10 +2
2y= 12
Divide both sides by 2:
y= 12 ÷2
y= 6
Substitute y= 6 into (2):
x +6= -2
x= -6 -2
x= -8
Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.
-x +y
= -(-8) +6
= 8 +6
= 14
Thus, option 2 is the correct option.
-2 is 5 less than 3
hope this helps
Answer:
Its standard deviation is 3.79.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
In this problem, we have that:
So
Its standard deviation is 3.79.
Answer: C. (-1, 2)
<u>Step-by-step-explanation:</u>
The center is the midpoint of the endpoints
→ 
, 
→ 
, 
→ 
, 
→ (-1 , 2)
The midpoint is (-1, 2)
2000 cm^2
Step-by-step explanation:
we simply round the dimensions of 50.8 cm to 50 cm and 40.6 cm to 40 cm, and we multiply 50*40 cm to get to 2000cm^2 (it is squared because this is area)
