Cool? Is there more to this question or?
A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.
To describe a rotation, you need three things:
Direction (clockwise CW or counterclockwise CCW)
Angle in degrees
Center point of rotation (turn about what point?)
The most common rotations are 180° or 90° turns, and occasionally, 270° turns, about the origin, and affect each point of a figure as follows:
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Answer:
Its either 18.125 or 145 / 8
Step-by-step explanation:
Answer:
y = 1/3x + 5/3
Step-by-step explanation:
An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.
y2 - y1/ x2 - 1
3 - 0/ 4 - (-5)
= 3 / 9
= 1/3
Now that we know the slope, we need to plug the values of x and y to find the y-intercept.
y = 1/3x + b
3 = 1/3(4) + b
3 = 4/3 + b
5/3 = b
The equation is y = 1/3x + 5/3
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
