not to buy all of them they can by 55 boxs
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>
<em><u>Solution:</u></em>
<em><u>Given is:</u></em>
![f(x) = 2x^2 - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%5E2%20-%201)
We have to find the vertex and axis of symmetry
<em><u>The general equation is given as:</u></em>
![f(x) = ax^2 + bx + c](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
Comparing with given equation,
a = 2
b = 0
c = -1
<em><u>The axis of symmetry is given as:</u></em>
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
![x = \frac{0}{2(2)}\\\\x = 0](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0%7D%7B2%282%29%7D%5C%5C%5C%5Cx%20%3D%200)
Thus axis of symmetry is 0
The x coordinate of the vertex is the same
x coordinate of the vertex = 0
h = 0
The y coordinate of the vertex is:
k = f(h)
k = f(0)
![f(0) = 2(0) - 1\\\\f(0) = 0 - 1\\\\f(0) = -1](https://tex.z-dn.net/?f=f%280%29%20%3D%202%280%29%20-%201%5C%5C%5C%5Cf%280%29%20%3D%200%20-%201%5C%5C%5C%5Cf%280%29%20%3D%20-1)
Thus, y coordinate of the vertex is -1
Therefore, vertex is (0, -1)
The probability would be 0.01458.
This is a binomial probability, since the probabilities are independent, there is a fixed number of trials, and there are two outcomes (either a 0 or not a 0). We use the formula:
![_nC_r(p)^r(1-p)^{n-r}](https://tex.z-dn.net/?f=_nC_r%28p%29%5Er%281-p%29%5E%7Bn-r%7D)
The probability of any of the digits being drawn is 1/10. Then we have: