C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)
Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.
Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.
For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)
C=9.42 < this is the circumference of the circle.
Then you add the sides of the table which are 20 feet.
So the final answer is 29.42 feet.
They did not include the constraint for y ≤x+3 on the graph.
See attached picture with added constraint.
Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.
Point (0,3) P = -0 +3(3) = 0+9 = 9
Point (1,4) P = -1 + 3(4) = -1 +12 = 11
Point (0,0) P = -0 + 3(0) = 0 + 0 = 0
Point (3,0) P = -3 + 3(0) = -3 + 0 = -3
The correct solution to maximize P is (1,4)
Answer:
9+15i
Step-by-step explanation:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval is 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first proportion 
The second sample size is 
The second proportion is 
Given that the confidence level is 95% then the level of significance is mathematically represented as


From the normal distribution table we obtain the critical value of
the value is

Now using the formula from the question to construct the 95% confidence interval we have

Here 
=> 
=> 
and

=> 
=> 
So


Answer:
x = -5
Step-by-step explanation:
-5 + 5 = 0 0×6=0
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