After a million measurements of thing x, we find a sample mean of 30.49 and standard deviation of 1.95. What chance, in percent (0-100) does the next measurement have of being outside 1 standard deviation from the mean?

32%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The sampling distribution of the sample means tend to be normally distributed.

What chance, in percent (0-100) does the next measurement have of being outside 1 standard deviation from the mean?

68% of the measures are within 1 standard deviation of the mean.

100 - 68 = 32% are outside of 1 standard deviation from the mean.

So the chance is 32%.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1