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%
Answer:
The correct option is D ....
Step-by-step explanation:
Angle is ending at the point = (-3, -4)
Signs of both x and y are negative therefore it is in the third quadrant.
To find the the tangent of an angle we have to find the ratio of the length of the opposite side to the length of the adjacent side.
In this question the opposite side of the angle is of 4 units and the adjacent side of the angle is 3 units.
tanθ = y/x
tanθ = -4/-3
tanθ = 4/3
Thus the correct option is D ....
6 times 10^4 is your answer hope i helped
Answer:
<h3>f =27</h3>
Step-by-step explanation:
Collect like terms and simplify
Switch sides
-26 is not an inequality. It's just a number. Maybe there was
another part of it that you forgot to copy.
