PLEASE HELP!!!

2 answers:

8 0

Let $X$ be the random variable for the part's diameter, and $Z$ the same variable transformed into one that follows the standard normal distribution. You're looking for the proportion of the parts that lie 2 standard deviations away from the mean, which translates to

$\mathbb P(|X|>15.000+2\times0.030)=\mathbb P(|X|>15.060)=\mathbb P(|Z|>2)$

Recall the empirical rule, which says that approximately 95% of a normal distribution falls within 2 standard deviations of the mean, or $\mathbb P(|Z|$ . This means

$\mathbb P(|Z|>2)=1-\mathbb P(|Z|$

So out of 15000 parts, you should expect about 5% of them, or about 750 parts to be rejected.

Alex3 years ago

5 0

Answer:

The aanswerr is 750

Step-by-step explanation:

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PLEASE HELP

nydimaria [60]

Answer:

y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)

Step-by-step explanation:

A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).

For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymtotes must look like ...

f(x) = (x+2)(x-1)/((x+3)(x-6))

This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.

The rational function may be ...

y = -2(x +2)(x -1)/((x +3)(x -6))

If you want the factors multiplied out, this becomes

y = (-2x^2 -2x +4)/(x^2 -3x -18)