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hram777 [196]
3 years ago
9

a battery company manufactures batteries having life spans that are normally distributed, with a mean of 45 months and a standar

d deviations of 5 months. find the probability that a battery chosen at random will have each life span. a. 48-50 months b. 45-52 months
Mathematics
2 answers:
RSB [31]3 years ago
6 0
A is the correct answer
stepladder [879]3 years ago
4 0
I'd say (A) is the correct answer
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Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

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(4x-1)(3x+2) = 0.

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It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

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Answer:

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Step-by-step explanation:

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