Check the first picture below.
now, the exercise states to get it from the graph, so we have to graph it first.
Check the second picture below.
recall, the height in feet is on the y-axis, and the time in seconds is on the x-axis.
and rounded up to the nearest tenth will be 0.6.
Answer:
No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that true average task time with armor is less than 2 seconds.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample has a size n=52.
The sample mean is M=1.95.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.
Answer:
The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line
Step-by-step explanation:
The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.
If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).
If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)
Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
