The domain of g(x) is [4, 7)
<h3>How to determine the domain of g(x)?</h3>
The function is given as:
g(x) = f(x + 3)
Since f(x) is a function, then g(x) is also a function
The domain of f(x) is given as:
[1, 4)
The equivalent of these values in g(x) are
x = 1 + 3 = 4
x = 4 + 3 = 7
Hence, the domain of g(x) is [4, 7)
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Answer:
15 cm
Step-by-step explanation:
The formula for the surface area of the cone is ...
A = πr² +πrL = πr(r +L)
The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...
126π cm² = π(6 cm)(6 cm +L)
21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm
15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm
The slant height is 15 centimeters.
Step-by-step explanation:
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].
