1- 13 or -13 (B)
2- -5 < y < -3 (A)
3- t = 6 or -6 (B)
Hope this helps you =)
Answer:
Combine Like terms and do the Equation normally
Step-by-step explanation:
9x+3x=180 by def. of supplementary
12x=180
12/12x=180/12
x=15
9x=9(15)=135°
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:
After 50 years the stock value will be $50 per share.
Step-by-step explanation:
Simple Interest Equation (Principal + Interest)
A = P(1 + rt)
Where:
A = Future amont = $50
P = Principal Amount = $40
r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005
t = Time Period involved in months or years
Plug in the values
50 = 40(1 + 0.005t)
50 / 40 = (1 + 0.005t)
5/4 = 1 + 0.005t
5/4 - 1 = 0.005t
0.25 = 0.005t
t = 0.25 / 0.005
t = 50 years
