9514 1404 393
Answer:
6
Step-by-step explanation:
Maybe you have ...
f(x) = √(3x)
g(x) = x-6
Then ...
f(g(x)) = √(3(x -6))
The square root function is only defined for non-negative arguments, so we require ...
3(x -6) ≥ 0
x -6 ≥ 0 . . . . . divide by 3
x ≥ 6 . . . . . . . . add 6
The smallest number in the domain of f(g(x)) is x = 6.
B shows a constant rate of change.
Answer:
The area of the circular cross section of the pipe is 
Step-by-step explanation:
we know that
The area of the circle (cross section of the pipe) is equal to

we have
----> the radius is half the diameter
substitute


Answer:
75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.
Step-by-step explanation:
The question is missing. It is as follows:
Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64
Assume that the population of x values has an approximately normal distribution.
Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)
75% Confidence Interval can be calculated using M±ME where
- M is the sample mean weight of the wild mountain lions (
)
- ME is the margin of error of the mean
And margin of error (ME) of the mean can be calculated using the formula
ME=
where
- t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)
- s is the standard deviation of the sample(31.4)
Thus, ME=
≈16.66
Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5
3-4y=5x-6,
<span>4y=3-5x-(-6), </span>
<span>4y=3-5x+6, </span>
<span>4y=3+6-5x, </span>
<span>4y=9-5x, </span>
<span>y=(9-5x)/4. </span>
<span>Answer: (9-5x)/4</span>