Answer: 8/145
Step-by-step explanation: Rewriting the table
Positive and Negative stand for the result of the test
Yes and No stand for having the disease
Positive | Negative | Total
<u>Yes </u><u> | 137 | 8 | 145</u>
<u>No </u><u> | 16 | 139 | 155</u>
<u>Total</u><u> | 153 | 147 | 300</u>
<u />
probability of getting someone who tests negative, given that he or she had the disease.
P(Negative | Yes) = <u>P(Negative ∩ Yes)</u> = <u> 8 </u>
P(Yes) 145
<u />
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:

where
is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:

From the last part of the second sentence, we can set up the following equation:

We can substitute the second equation into the last one to get the following:



We can then substitute the last two equations in the first to solve for
:



Plugging this into the other two equations will give us the remaining ages:






Fraction of students that opted for French = 
The total number of students = 150
Fraction of students that opted for German = 
Fraction of students that opted for Italian = 
Fraction of students that opted for French = 1 - Fraction of students that opted for German - Fraction of students that opted for Italian
Fraction of students that opted for French = 
Fraction of students that opted for French = 
Fraction of students that opted for French = 
Learn more here: brainly.com/question/18819021
Quadratic functions can be written in three forms. The parameters and are the roots of the function (the x-intercepts of the graph ). Converting a quadratic function to factored form is called factoring. ... The parameter is the y-intercept, while the parameter is the slope of the tangent at 0.
Answer:
Step-by-step explanation:
f(x) = 2x² + x - 3
f'(x) = 4x + 1
f'(x) = 4(-1) + 1 = -3 slope
f(x) = 2(-1)² + (-1) - 3 = -2
(-1, -2)
-2 = -3(-1) + B
B = -5 y intercept
y = -3x - 5
f(x) = 1/x² = x⁻²
f'(x) = -2x⁻³
f'(-2) = -2(-2)⁻³ = -2/-8 = 1/4 slope
y = 1/4x + B
1/4 = 1/4(-2) + B
B = 3/4
y = 1/4x + 3/4