These five frames show a shapes different positions
1 answer:
From the attached image, we can tell that:
From 1 to 2: There is a shift from left to right along the same plane (x-axis).
From 2 to 3: There is a 90° rotation in the clockwise direction.
From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.
From 4 to 5: There is a 180° rotation in the clockwise direction.
<h3>What is a rotation?</h3>It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.
Learn more about rotation in math:
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Full Question:
These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.
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Answer:
The 95% confidence interval for the mean level of argon gas present in the facility is (374.4, 401.7).
Step-by-step explanation:
Before building the confidence interval, we have to find the sample mean and the sample standard deviation.
Sample mean:
Sample standard deviation:
Confidence interval:
We have the standard deviation for the sample, so 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 = 4 - 1 = 3
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of . So we have T = 3.1824
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 388.05 - 13.65 = 374.4
The upper end of the interval is the sample mean added to M. So it is 388.05 + 13.65 = 401.7
The 95% confidence interval for the mean level of argon gas present in the facility is (374.4, 401.7).