If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16
If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12
<em>Make sure to check which one is the correct function!</em>
Answer:
It is a rational number
Step-by-step explanation:
Answer:
409.77 is the answer!
Step-by-step explanation:
3 x 3 x 3.14 x 14.5
pie x r^2 x h = V
Answer:
80°
Step-by-step explanation:
Let the angle be x then four times it's complement plus 60, that is
4(90 - x) + 60 ← is it's supplement
Supplementary angles sum to 180°
Sum the angle and it's supplement and equate to 180
x + 4(90 - x) + 60 = 180 ← distribute and simplify left side
x + 360 - 4x + 60 = 180
- 3x + 420 = 180 ( subtract 420 from both sides )
- 3x = - 240 ( divide both sides by - 3 )
x = 80
The required angle = x = 80°
supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is 
and the standard deviation is 
In this problem, we have that:
.
So
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
