Let

, where

and let

be any real constant.
Given this definition of scalar multiplication, we can see right away that there is no identity element

such that

because
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:
C
Step-by-step explanation:
<h2>—Math</h2>
38% = 38/100
= 19/50
Answer:
35
Step-by-step explanation:
If is given the value -8 as it is the input then -->
y = -4(-8) + 3
Negative four times negative 8 is positive 32 so
y= 32 + 3
And 32 plus 3 is 35
Answer:
1
Step-by-step explanation: