Do 2 planes intersect at a point all the time?
1 answer:
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Answer:
(a)
(b)
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
Solving (c): Number of chirps they started with.
In (b), we have:
Substitute 4k for j
Collect Like Terms
Divide both sides by 3
Substitute 12 for k in
The correct answer is the first choice, ($1818.30, $5077.70.)
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify
Next we find
Next we find
Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify
Next we find
Next we find
Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by