We know there will be zeros in the function and in the derivative at the repeated roots, so at least 2 critical points. There will be one more zero in the derivative between those roots, for a total of 3 critical points.
The difference between 7821 - 4699 = 3122
If you subtract 7821 - 4699 then it would equal 3122
Hope that helps
Answer:
Volume of cube = 64 m^3
Let the sides of cube = x
So volume = x^3 = 64
It's length is scaled up by a factor of 5.
Each side of the cube will become = 5x
New volume = (5x)^3 = 125 x^3 = 125×64 = 8000 m^3
New volume is 8000 m^3.
Step-by-step explanation:
Answer:
The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours
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.
In this problem
![\mu = 20, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743](https://tex.z-dn.net/?f=%5Cmu%20%3D%2020%2C%20%5Csigma%20%3D%203%2C%20n%20%3D%2040%2C%20s%20%3D%20%5Cfrac%7B3%7D%7B%5Csqrt%7B40%7D%7D%20%3D%200.4743)
The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours
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