Answer:
x = 110
Step-by-step explanation:
540 - 430 = 110
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If , it has 2 real solutions.
- If , it has 1 real solutions.
- If , it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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Answer:
The probability the average mpg is less than 28 mpg is 0.8413.
Step-by-step explanation:
Given : The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal with
Mean mpg and standard deviation mpg.
Number of sample n=36
To find : What is the probability the average mpg is less than 28 mpg?
Solution :
Applying z-score formula,
The portability is given by,
Using z-table,
Therefore, the probability the average mpg is less than 28 mpg is 0.8413.
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