tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
4θ + 24 = 90
- 24 - 24
4θ = 66
4 4
θ = 16.5
So easyies way is find all multiplues of 6 that are less than 50
6
12
18
24
30
36
42
48
and not 42
6
12
18
24
30
36
48
more than 25
30
35
48
do not have a 3 in them
48
the answer is 48
2*3/8
whenever dividing the second fraction flips
2*3/8
You can divide by 2 for 2 and 8
2/2=1
8/2=4
1/4*3
=3/4
Answer is 3/4
Answer:
The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].
Step-by-step explanation:
Given information:
Sample size = 10
Sample mean = 12.2 mph
Standard deviation = 2.4
Confidence interval = 95%
At confidence interval 95% then z-score is 1.96.
The 95% confidence interval for the true mean speed of thunderstorms is

Where,
is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.



![CI=[12.2-1.488, 12.2+1.488]](https://tex.z-dn.net/?f=CI%3D%5B12.2-1.488%2C%2012.2%2B1.488%5D)
![CI=[10.712, 13.688]](https://tex.z-dn.net/?f=CI%3D%5B10.712%2C%2013.688%5D)
Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].