The mean of sample x is 5.83
The standard deviation is 5.63
<h3>What is standard deviation?</h3>
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
Frequency: 2 2 4 13 13 1
If x is the pair of sneakers owned of the frequency,
mean = 2+2+4+13+13+1/5
= 35/6
= 5.83
The standard deviation is equal to 5.63.
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Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
<span>4x(x) + 3(2x) and 4x2 + 6x => 4x^2 + 6x and 4x^2 + 6x
5(3x) - 4(3x) and 3x => 15x-12x=3x and 3x
4(3a) - 2(4a) and 4a2 => 12a-8a=4a and 4a^2
3(3a) + a(3a) and 3a2 + 9a => 9a+3a^2 and 9a + 3a^2
Can you spot the one which is different?
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