What you want to first is substitute the numbers in for the variables in the equation
Since b= -5 , we will plug it in for -b
-5 + c = -13x
Now plug in -8 for c
-5 + (-8) = -13x
Add the numbers on the left side, which gives you -13.
-13 = -13x
Lastly, divide both sides by -13x, which will give you 1.
So x = 1
Answer:
Y = (16 - 3x)/5
Step-by-step explanation:
3x + 5y = 16
subtract 3x from both sides:
16-3x = 5y
divide both sides by 5:
(16 - 3x) / 5 = y
hope this helps
There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:
R(90 deg) : (X,Y) ---> (-Y,X)
Using the given coordinates:
R(90 deg<span>) : (-4,1) ---> (-1,-4)
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Therefore, Point C' will be located at (-1,-4)
Answer:
So we can find this probability:

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where
and
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

The answer for blank #2 is 26