Answer:
Ammm, I think the answer you have is wrong, but what I really think is that the equations you put in are not the right ones because the answer for these is "ugly" (decimals etc...). Want to check your equations?
Step-by-step explanation:
Here is a step by step explanation to your equations (I assumed +3z for the second but you can change it). You can edit it for your equations if you want to.
https://simplisico.com/share/q/QiWKOyN5uYgkSG4iBXOmdG0i
1/2 - 1/4x ≥ -1/4
Combine 1/4x to get x/4:
1/2 - x/4 ≥ -1/4
Subtract 1/2 from both sides:
-x/4 ≥ -1/4 - 1/2
Simplify:
-x/4 ≥ -3/4
Multiply both sides by 4:
-x ≥ -3/4 * 4
-x ≥ -3
Multiply each side by -1 ( and since you are multiplying by -1, you also need to reverse the inequality sign)
Answer: x ≤ 3
C because u can split it only once vertically but it’s not a rotationally symmetrical shape
Answer: (1500.66,1599.34)
Step-by-step explanation:
Confidence interval for population mean:

,where
= Sample mean , n= Sample size, z* = critical two tailed z-value ,
= population standard deviation.
As per given , we have
n= 16
square feet
square feet

Critical z-value = 
Confidence interval for population mean:

Required confidence interval: (1500.66,1599.34)
Answer:
Circumference(C) of the circle is given by:

where, r is the radius of the circle.
As per the statement:
A circular swimming pool has a radius of 15 ft.
⇒radius of the pool(r) = 15 ft
There is a path all around that pool that is three feet wide.
⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft
Substitute these in the formula we have;

⇒
Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft