3x + 3 = x - 5 Solve for x
2 answers:
You might be interested in
Answer:
1) Reflection in the x-axis
A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
A''' = (6, 0)
Step-by-step explanation:
The transformations are as follows;
1) Reflection in the x-axis
Here the x-coordinate is the same and the y-coordinate changes sign.
Therefore, we have;
A (-2, 3)
After reflection in the x-axis becomes A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)
Therefore, we have;
A' = (-2, -3) becomes A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
Translation of 3 units down and 4 units to the right =
Which gives
A''' = (2 + 4, 3 - 3) = (6, 0).
Answer:
The standard deviation for the sample mean distribution is
Step-by-step explanation:
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population then the distribution of the sample means will be approximately normally distributed.
For the random samples we take from the population, we can compute the standard deviation of the sample means:
From the information given
The standard deviation σ = 136 dollars
The sample n = 45
Thus,
The standard deviation for the sample mean distribution is