4. Cost for 81 is $1842.75...u could go to 32 games
5. 3/4x + 2/3x = 17/12 or 1 5/12
We have the following function:
![g(x)=4\sqrt{x}-8](https://tex.z-dn.net/?f=g%28x%29%3D4%5Csqrt%7Bx%7D-8)
So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:
First. The function is defined only for
![x\geq 0](https://tex.z-dn.net/?f=x%5Cgeq%200%20)
as shown in the Figure. This is also true because of
![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
where
![x](https://tex.z-dn.net/?f=x)
must be greater (or equal) than zero.
Second. The range of the function are the values of
![y\geq -8](https://tex.z-dn.net/?f=y%5Cgeq%20-8)
.
Third. If
![x](https://tex.z-dn.net/?f=x)
creases then
![y](https://tex.z-dn.net/?f=y)
always creases, too.
V=1/3*πr² *h,
raduus r=32/2=16
V=1/3*3.14*(16)² *18=6*3.14*(16)² =4823.04
Answer:
198 pages have no mistakes.
Step-by-step explanation:
We are given the following in the question:
The number of mistakes on a page follows a poison distribution with
![\mu = \lambda = 0.01](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Clambda%20%3D%200.01)
Formula:
![P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}](https://tex.z-dn.net/?f=P%28X%20%3Dk%29%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Clambda%5Ek%20e%5E%7B-%5Clambda%7D%7D%7Bk%21%7D%5C%5C%5C%5C%20%5Clambda%20%5Ctext%7B%20is%20the%20mean%20of%20the%20distribution%7D)
We have to find the probability that there are no mistakes on a page.
![P(X =0) = \displaystyle\frac{(0.01)a^0 e^{-0.01}}{0!} = 0.9901](https://tex.z-dn.net/?f=P%28X%20%3D0%29%20%3D%20%5Cdisplaystyle%5Cfrac%7B%280.01%29a%5E0%20e%5E%7B-0.01%7D%7D%7B0%21%7D%20%3D%200.9901)
Thus, approximately 99.01% of the pages have no mistakes.
Number of pages =
![\text{Total number of pages}\times 99.01\%\\\\200\times \dfrac{99.01}{100}\\\\\approx 198](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20number%20of%20pages%7D%5Ctimes%2099.01%5C%25%5C%5C%5C%5C200%5Ctimes%20%5Cdfrac%7B99.01%7D%7B100%7D%5C%5C%5C%5C%5Capprox%20198)
Thus, 198 pages have no mistakes.
<h2>Answer:</h2>
B. {10, 20, 30, 40, 50, 60, 70}
<h2>Explanation:</h2>
- The domain of a function is defined as the set of all input values. Or in other words the set of all first element of ordered pairs.
In the given input-output table, the set of all input values will be the domain of the given function.