Probability that one is hired ans one not:
P ( A ) = (2 C 1 * 4 C 4) / 6 C 5 =
= ( 2 * 1 ) / 6 = 2/9 = 1 / 3
Answer: 1/3 or 33.33%
Your deck is bigger because it’s 3 and 2/3 and your neighbor is 3 and 8/9 your deck is bigger because 2/3 are bigger then 8/9
Answer: 1408.01$
Step-by-step explanation: Use the compound interest formula P*(1+r)^n Where P is the initial value, r is the interest rate, and n is the number of periods
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function
![f(x)=\frac{24}{1+e^{-1.3x}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B24%7D%7B1%2Be%5E%7B-1.3x%7D%7D)
we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at
i.e between 0 to 12
So, we can take
and then solve for x.
![\frac{24}{2}=\frac{24}{1+e^{-1.3x}}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B1%2Be%5E%7B-1.3x%7D%7D)
⇒ ![2=1+3\exp{-1.3x}](https://tex.z-dn.net/?f=2%3D1%2B3%5Cexp%7B-1.3x%7D)
⇒
⇒ ![\frac{1}{3}=\exp{-1.3x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D%5Cexp%7B-1.3x%7D)
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
Let, S = Shirt, J = Jeans
14a)
This question asks for the discount to be added after everything else.
S= 12 J=19
3S + 2J -3 = Cost with discount applied to total
^ This expression adds to costs, then takes away the $3 discount as the end.
14b)
This questions says the discount is added on every shirt, we get a similar expression:
3(S-3) + 2(J-3) = Cost with discount applied on every shirt and jeans
14c)
The difference between a) and b) is that:
> the discount in a) is applied on the total, meaning a lower discount
> the discount for b) is applied on each shirt and jeans, meaning a greater discount
14d)
If I were the shop owner I would be more specific of what the discount included, for example we don't know whether to discount each product (shirts and jeans) or only discount the total.