Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
-----
n = [z*s/E]^2
---
n = [2.17*18/4]^2 = 96 when rounded up
</span>
Error=100 calculated/actual
error=100 (175-97.5) / 97.5
error=100 (77.5) / 97.5
error=7750 / 97.5
error=77500 / 975
error=3100 / 39
error=79.5% <-- Estimated
Answer:
<h3>1/24</h3>
Step-by-step explanation:
The race car is doing 8 laps in 1/3 hour, in one hour the car is doing:
8laps * (1/3) hour) = 8*3 laps / 1hour = 24 laps/hour.
Now, to complete one lap, the car will it take:
1 lap * (1 hour / 24 laps) = 1/24 hours the race car requires to complete 1 lap. Right answer is:
<h3>1/24</h3>
