Answer:
56.55
Step-by-step explanation:
Answer:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.
![(-2,-5)(4,7)](https://tex.z-dn.net/?f=%28-2%2C-5%29%284%2C7%29)
Use the slope formula for when you have two points:
![\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7By%282%29-y%281%29%7D%7Bx%282%29-x%281%29%7D%3D%5Cfrac%7Brise%7D%7Brun%7D)
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
![\frac{7-(-5)}{4-(-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B7-%28-5%29%7D%7B4-%28-2%29%7D)
Simplify parentheses (negative+negative=positive)
![\frac{7+5}{4+2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B5%7D%7B4%2B2%7D)
Simplify
![\frac{12}{6}=2](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B6%7D%3D2)
2 is the slope:
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
![y=2x+b\\7=2(4)+b](https://tex.z-dn.net/?f=y%3D2x%2Bb%5C%5C7%3D2%284%29%2Bb)
![7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1](https://tex.z-dn.net/?f=7%3D8%2Bb%5C%5C7-8%3D8-8%2Bb%5C%5C7-8%3Db%5C%5C-1%3Db%5C%5Cb%3D-1)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Done.
Andre walks for 16 minutes. 80% of 10 is 8 and times that by 2 is 16 so 16 minutes.
Answer:
The correct answer is "
". A further solution is provided below.
Step-by-step explanation:
According to the question,
The probability of getting a 5 will be:
= ![\frac{4}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B36%7D)
= ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
The probability of getting a 7 will be:
= ![\frac{6}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B36%7D)
= ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
The probability of not a 5 nor a 7 will be:
= ![1-[\frac{4}{36} +\frac{4}{36} ]](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B4%7D%7B36%7D%20%2B%5Cfrac%7B4%7D%7B36%7D%20%5D)
= ![\frac{26}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B36%7D)
= ![\frac{13}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B18%7D)
Now,
For roll of 2 dice,
⇒ ![P=\frac{1}{9} +{\frac{1}{9}\times (\frac{13}{18} ) }+{(\frac{1}{9} )\times (\frac{13}{18} )^2}+{\frac{1}{9}\times (\frac{13}{18} )^3 }+...](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B9%7D%20%2B%7B%5Cfrac%7B1%7D%7B9%7D%5Ctimes%20%28%5Cfrac%7B13%7D%7B18%7D%20%29%20%7D%2B%7B%28%5Cfrac%7B1%7D%7B9%7D%20%29%5Ctimes%20%28%5Cfrac%7B13%7D%7B18%7D%20%29%5E2%7D%2B%7B%5Cfrac%7B1%7D%7B9%7D%5Ctimes%20%28%5Cfrac%7B13%7D%7B18%7D%20%29%5E3%20%7D%2B...)
![=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1%2B%5Cfrac%7B13%7D%7B18%7D%20%2B%5Cfrac%7B13%5E2%7D%7B18%5E2%7D%20%2B%5Cfrac%7B13%5E3%7D%7B18%5E3%7D%20%2B...%5D)
![=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%5Cfrac%7B1%7D%7B1-%5Cfrac%7B13%7D%7B18%7D%20%7D%20%5D)
![=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%7B%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D%20%5D)
![=\frac{2}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B5%7D)