How does the graph of the function g(x)=2x-4 differ from the graph of f(x)=2x

1 answer:

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The -4 would be your y-intercept and the 2x would be your slope. So you would put a mark on the-4 on the y axis and go up 2 and to the right 1 to plot your line. The second one would put your starting dot on the (0,0) and go up 2 and to the right 1 to get your line. Because you would look at the 2x as 2/1x.

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The national average for the number of students per teacher for all U.S. public schools in 15.9. A random sample of 12 school di

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Answer:

The 95% confidence interval for the true mean number of students per teacher is (17.9, 20.5). The lower bound of the interval is above the national average, which means that this estimate is higher than the national average.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.201