3 years ago

The transformation of the triangle represents a translation.

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

The answer would be false.

This would not be a translation. Think of a translation as sliding a figure to a different position on a graph. This does not change how the shape is facing, but changes the location of it on the coordinate plane.

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Answer:

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 121

Sample mean = 23.4

Sample standard deviation = 3.65

Level of significance = 0.05

Degree of freedom

$= n - 1 = 120$

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Calculation of critical value:

$t_{critical}\text{ at degree of freedom 120 and}~\alpha_{0.05} = \pm 1.9799$

Putting the values, we get,

$23.4\pm 1.9799(\dfrac{3.65}{\sqrt{121}} )\\\\ = 23.4 \pm 0.6569\\\\ = (22.7431 ,24.0569)\approx (22.74,24.06)$

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

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