Answer:
Step-by-step explanation:
The equation of the circle has the following form
The equation of the circle has the following form
We know that the circle goes through the following points
(1, 7)
(8, 6)
(7, -1).
Then we substitute the values of x and y in the equation
<u>For (1, 7)</u>
(1)
<u>For (8, 6)</u>
(2)
With these equations is enough to solve the system
(1)
(2)
Multiply the equation (1) by -8 and add it to the equation (2)
(1)
(2)
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Then
Finally the equation is:
I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
Answer:
8x-4<-36+4
8x<-32
----
8
x<-4
Answer:x<-4
Step-by-step explanation:
you would have to show your work and do it step by step and and dont stress about it
x = √(9 × 16) = √144 = 12 cm
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.
Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is 
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got 
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38
