<h3>
Answer:</h3>
x = 3
<h3>
Step-by-step explanation:</h3>
Taking the antilog, the equation becomes ...
... 8x/(x^2 -1) = 3
Multiplying by the denominator, you have ...
... 8x = 3(x^2 -1)
Subtracting the left side to put into standard form gives ...
... 3x^2 -8x -3 = 0
This can be factored as ...
... (3x +1)(x -3) = 0
so the values of x that make these factors zero are ...
... x = -1/3 . . . and . . . x = 3
The original equation requires x > 1, so the only viable solution here is ...
... x = 3
_____
We can also solve this graphically to get the same result.
Answer: Monitor C is the different one.
Step-by-step explanation:
The aspect ratio is the relationship between width and height.
So we only need to see the quotients between width and height for each monitor and see which quotient is different.
Monitor A:
Quotient = 1152/864 = 1.333....
Monitor B:
Quotient = 800/600 = 1.333...
Monitor C:
Quotient = 1920/1080 = 1.777...
Monitor D:
Quotient = 1600/1200 = 1.333...
We can see that the one with a different aspect ratio is monitor C.
Answer:
Variance = 24900
Standard Deviation = 157.7973
Step-by-step explanation:
We are given the following in the question:
Number of admissions: 1000 1200 1500
Admissions Probability: 0.6 0.3 0.1
Formula:
Variance =
Thus, the variance is 24900.
Standard Deviation =
Thus, the standard deviation is 157.7973
-45 to 49 is 80 degrees different