D I’m pretty sure is correct
Answer:
The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is 
The population standard deviation is 
From the question we are told the confidence level is 92% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 92% confidence interval is mathematically represented as
=> 
=>
So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval
Answer:
x = 11
Step-by-step explanation:
Equation:
(5x+1) + (12x-8) = 180
You are doing this because both sides on a straight line add up to 180 degrees. The two angles would add up to 180 degrees since they are on the one side of the line.
Simplifying:
(5x+12x) + (1-8) = 180
Add your common variables together; keep in mind that variables are placed before numbers.
Adding:
17x-7 = 180
Process:
To do this, you are going to simply do the opposite operation for the number without the variable on both sides of the equal sign.
17x - 7 = 180
+ 7 + 7
------------------
17x = 187
----- ------
17 17
x = 11
You divided by 17 on both sides because you needed to get the x variable by itself. Hope this helped! :)
Answer:
(-3, 6)
Step-by-step explanation:
Once turned the original points are to be flipped and since it is counter clockwise it will make the x usually change from positive to negative and vise versa
This is basically a system of 3 linear equations with variables x, y and c.
x+y = 6...................................(1)
5x/3 + y = c .........................(2)
2y = c-4x .............................(3)
(2)-(1)
5x/3-x +y-y = c-6 => 2x/3 = c-6 => x = (3/2)(c-6)=3c/2-9 ..............(4)
(3) - 2(2)
2y-2y - 10x/3 = c -4x -2c
=> 2x/3 = -c
=> x = -(3/2)c.............................................................................................(5)
Finally, equate (4) & (5) to get
3c/2-9 = -3c/2
=>
3c = 9
=> c=3
