Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= <u>110°</u>
It would be 2/10, or 1/5, since two out of the 10 numbers are even. 2/10 simplifies to 1/5, since there is 1 for every 5 numbers.
We could turn this into a percentage by dividing 1 by 5, which gives us 0.2. Then we can multiply by 100 to get 20.
So, our probability of choosing an even number is:
2/10
OR
1/5
OR
20%
Hope I could help!
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].
I<span> found the graph choices: </span>
<span>Given:</span>
8 rose bouquets
6 daffodil bouquets
total of 14 bouquets
enough flowers left to make maximum of 20 bouquets.
x = additional rose bouquets
y = additional daffodil bouquets
20 maximum bouquets - 14 made bouquets = 6 additional bouquets
x + y = 6
y = 6 - x
x = 6 - y
If x = 0 then y = 6
If x = 6 then y = 0
If x = 4 then y = 2
If x = 2 then y = 4
Pls. see attachment for the correct graph.