Using the Empirical Rule, it is found that 229 batteries have lifetimes between 3.0 hours and 3.4 hours.
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By the Empirical Rule, in a normal variable: 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.
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- Mean of 3.2 hours with a standard deviation of 0.2 hours.
3 = 3.2 - 2(0.1)
3.4 = 3.2 + 2(0.1)
- Thus, between 3 and 3.4 hours is <u>within 2 standard deviations of the mean</u>, which is 95%.
- Out of 241 batteries:
229 batteries have lifetimes between 3.0 hours and 3.4 hours.
A similar problem is given at brainly.com/question/24552083
Do you need it in fraction or decimal?
The value of dividing x^2-3x+9 by x-2 is x + 3
<h3>Ways of dividing polynomials</h3>
There are several ways to divide polynomial functions; some of these ways include
- By factorization
- By long division
- By synthetic division
- By using technology such as graph
<h3>How to divide the polynomials?</h3>
The expression for the polynomial division is given as:
x^2-3x+9/x-2
To divide polynomial functions, we make use of the division by factorization method
Start by expanding the numerator of the polynomial division
x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2
Factorize the equation
x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2
Factor out x + 3 from the numerator
x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2
Cancel out the common factors
x^2-3x+9/x-2 = x + 3
Hence, the value of dividing x^2-3x+9 by x-2 is x + 3
Read more about polynomial division at:
brainly.com/question/25289437
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