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%
63 have a great day hope this helped
(7 + i) - (6 - 2i) = 7 + i - 6 + 2i = 1 + 3i
Answer:
25/64
Step-by-step explanation:
To get this answer, first you need to use the distributive property:
(-3/8)(-5/8) - (1/4)(-5/8)
Next, multiply:
15/64 - (-5/32)
Change the negative signs into a positive sign:
15/64 + 5/32
Multiply 5/32 by 2 on both top and bottom:
15/64 + (5)(2)/(32)(2)
You will then get:
15/64 + 10/64
Now, add the numerators. You will get:
25/64
This is your answer. I hope it helped!
