Hopefully this helps you !
Answer:
180
Step-by-step explanation:
In this drawing I made, I added some variables. a and d are complimentary, meanwhile b and c are complimentary. A straight line is an angle of 180 degrees. Therefore, a + b = 180.
X² + 5x - 14 = 0
(x-2)(x+7) = 0
x - 2 = 0
x + 7 = 0
x = 2
x = -7
Your answer is B.
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Next question.
2x² - 4x - 6 = 0
a = 2
b = -4
c = -6
And is D.
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Next question
If the discriminant is positive, then there will be 2 solutions.
Your answer is C.
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Next question
Plugging in the equation into the quadratic formula should get you answer choice A.
Answer:
a) 
b) 
c) 
d) 
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:

Part a
The probability density function is given by the following expression:


Part b
We want this probability:

And we can use the cumulative distribution function given by:

And replacing we got:

Part c
We want this probability:

And we can use the CDF again and we have:

Part d
We want this conditional probabilty:

And we can find this probability with this formula from the Bayes theorem:
