Every percent of that number is 1/100 of that number
Example 30, 1/100 of 30 is .30
Example 100, 1/100 of 100 is 1
Example 52, 1/100 of 52 is .52
I'll do the first graph.
We can easily find the y intercept by inputting 0 for x.
y = -2(0) + 7
y = 7
The y-intercept is (0, 7)
To find the x intercept, isolate x.
y = -2x + 7
Add 2x to both sides.
2x + y = 7
Subtract y from both sides.
2x = -y + 7
Divide by 2 on both sides.
x = -1/2y + 3.5
Input 0 for y.
x = -1/2(0) + 3.5
x = 3.5
The x intercept is (3.5, 0)
Now try the rest own your own! :)
Answer:

Step-by-step explanation:
Given

Required
Determine the probability of selling exactly 1 batch
This probability is represented with 
From the table:
When x = 1; P(x) = 0.10
Hence:

<em>In other words, the probability of selling exactly 1 is 0.10</em>
Answer:

Given expression is
![\rm :\longmapsto\:\displaystyle\lim_{n \to \infty }\rm \bigg[\dfrac{1}{3} + \dfrac{1}{ {3}^{2} } + \dfrac{1}{ {3}^{3} } + - - + \dfrac{1}{ {3}^{n} } \bigg]](https://tex.z-dn.net/?f=%5Crm%20%3A%5Clongmapsto%5C%3A%5Cdisplaystyle%5Clim_%7Bn%20%5Cto%20%20%5Cinfty%20%7D%5Crm%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20%20%2B%20%20-%20%20-%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%20%5Cbigg%5D)
Let we first evaluate

Its a Geometric progression with



So, Sum of n terms of GP series is

![\rm :\longmapsto\:S_n = \dfrac{1}{3} \bigg[\dfrac{1 - {\bigg[\dfrac{1}{3} \bigg]}^{n} }{1 - \dfrac{1}{3} } \bigg]](https://tex.z-dn.net/?f=%5Crm%20%3A%5Clongmapsto%5C%3AS_n%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5B%5Cdfrac%7B1%20-%20%20%7B%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5D%7D%5E%7Bn%7D%20%7D%7B1%20-%20%5Cdfrac%7B1%7D%7B3%7D%20%7D%20%5Cbigg%5D)
![\rm :\longmapsto\:S_n = \dfrac{1}{3} \bigg[\dfrac{1 - {\bigg[\dfrac{1}{3} \bigg]}^{n} }{\dfrac{3 - 1}{3} } \bigg]](https://tex.z-dn.net/?f=%5Crm%20%3A%5Clongmapsto%5C%3AS_n%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5B%5Cdfrac%7B1%20-%20%20%7B%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5D%7D%5E%7Bn%7D%20%7D%7B%5Cdfrac%7B3%20-%201%7D%7B3%7D%20%7D%20%5Cbigg%5D)
![\rm :\longmapsto\:S_n = \dfrac{1}{3} \bigg[\dfrac{1 - {\bigg[\dfrac{1}{3} \bigg]}^{n} }{\dfrac{2}{3} } \bigg]](https://tex.z-dn.net/?f=%5Crm%20%3A%5Clongmapsto%5C%3AS_n%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5B%5Cdfrac%7B1%20-%20%20%7B%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%5Cbigg%5D%7D%5E%7Bn%7D%20%7D%7B%5Cdfrac%7B2%7D%7B3%7D%20%7D%20%5Cbigg%5D)
![\bf\implies \:S_n = \dfrac{1}{2}\bigg[1 - \dfrac{1}{ {3}^{n} } \bigg]](https://tex.z-dn.net/?f=%5Cbf%5Cimplies%20%5C%3AS_n%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%5B1%20-%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%5Cbigg%5D)
<u>Hence, </u>
![\bf :\longmapsto\:\dfrac{1}{3} + \dfrac{1}{ {3}^{2} } + \dfrac{1}{ {3}^{3} } + - - + \dfrac{1}{ {3}^{n} } = \dfrac{1}{2}\bigg[1 - \dfrac{1}{ {3}^{n} } \bigg]](https://tex.z-dn.net/?f=%5Cbf%20%3A%5Clongmapsto%5C%3A%5Cdfrac%7B1%7D%7B3%7D%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20%20%2B%20%20-%20%20-%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%5B1%20-%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%5Cbigg%5D)
<u>Therefore, </u>
![\purple{\rm :\longmapsto\:\displaystyle\lim_{n \to \infty }\rm \bigg[\dfrac{1}{3} + \dfrac{1}{ {3}^{2} } + \dfrac{1}{ {3}^{3} } + - - + \dfrac{1}{ {3}^{n} } \bigg]}](https://tex.z-dn.net/?f=%20%5Cpurple%7B%5Crm%20%3A%5Clongmapsto%5C%3A%5Cdisplaystyle%5Clim_%7Bn%20%5Cto%20%20%5Cinfty%20%7D%5Crm%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20%20%2B%20%20-%20%20-%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%20%5Cbigg%5D%7D)
![\rm \: = \: \displaystyle\lim_{n \to \infty }\rm \dfrac{1}{2}\bigg[1 - \dfrac{1}{ {3}^{n} } \bigg]](https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20%20%3D%20%20%5C%3A%20%5Cdisplaystyle%5Clim_%7Bn%20%5Cto%20%20%5Cinfty%20%7D%5Crm%20%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%5B1%20-%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%5Cbigg%5D)
![\rm \: = \: \rm \dfrac{1}{2}\bigg[1 - 0 \bigg]](https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20%20%3D%20%20%5C%3A%20%5Crm%20%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%5B1%20-%200%20%5Cbigg%5D)

<u>Hence, </u>
![\purple{\rm :\longmapsto\:\boxed{\tt{ \displaystyle\lim_{n \to \infty }\rm \bigg[\dfrac{1}{3} + \dfrac{1}{ {3}^{2} } + \dfrac{1}{ {3}^{3} } + - - + \dfrac{1}{ {3}^{n} } \bigg]} = \frac{1}{2}}}](https://tex.z-dn.net/?f=%20%5Cpurple%7B%5Crm%20%3A%5Clongmapsto%5C%3A%5Cboxed%7B%5Ctt%7B%20%5Cdisplaystyle%5Clim_%7Bn%20%5Cto%20%20%5Cinfty%20%7D%5Crm%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B3%7D%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20%20%2B%20%20-%20%20-%20%20%2B%20%5Cdfrac%7B1%7D%7B%20%7B3%7D%5E%7Bn%7D%20%7D%20%20%5Cbigg%5D%7D%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%7D%7D)
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<h3>
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