Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
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%
2 Red — 7 Green — 4 Blue — 11 Random
2 + 7 + 4 + 11 = 24
Probability of Green falling.
7/24
Hope this helps
Answer:
A= 5
B= 3
Step-by-step explanation:
A= 5 +5+5+5= 20
B= 3 (length) x 3 (width)
Answer:
C
Step-by-step explanation:
If you look closely.. You can see that one is longer than the other
