Answer:
The valid value of x is x=-2
Step-by-step explanation:
we know that
The sum of the interior angles of any quadrilateral must be equal to 360 degrees
so
solve for x
Combine like terms
Divide by 10 both sides
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Remember that
The measure of the interior angle cannot be a negative number
For x=9
we have that the measure of one interior angle of quadrilateral is
substitute the value of x
therefore
The value of x=9 cannot be a solution
For x=-2
The measure of the interior angles are
therefore
The valid value of x is x=-2
Answer:
0.6856
Step-by-step explanation:
![\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20missing%20part%20of%20the%20question%20states%20that%20we%20should%20Note%3A%20that%20%20N%28108%2C20%29%20model%20to%20%7D%20%5C%5C%20%5C%5C%20%20%5Ctext%7B%20%7D%20%5Ctext%7Bapproximate%20the%20distribution%20of%20weekly%20complaints%29.%5D%7D)
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (
108, 
= 20)
Using Z scores:
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
If you use the real Pi , 3.140625 , from a real ratio 201 /64 , you would get 37.6875 inches . All ruler measurements like 1/2 , 1/4, 1/8 ,1/16 … is where the last decimal integer ends in 5 , just like the real Pi . If you use the present day Pi , your decimal integer circumference length keeps getting ever smaller , 10 , 100 , 1000 … in this case you would have a shrinking diameter . You are better off using the real Pi, that i have proven with Quora. Richard Eicholtz
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Related Questions (More Answers Below)
Answer:
$3702.32
Step-by-step explanation:
We use the formula B=Pe^(rt)
B=3350e^(0.05*2)
B=3350e^0.1
B=3702.32
So about $3702.32
