Answer:
Colleen alone to clear the yard of leaves in 40 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?
Proof -
Given that the equation is -
![\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bc%7D%20%2B%20%5Cfrac%7B1%7D%7Bc%2B20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B24%7D%20%5C%5C%5Cfrac%7Bc%20%2B%2020%20%2B%20c%7D%7Bc%28c%2B20%29%7D%20%3D%20%5Cfrac%7B1%7D%7B24%7D%5C%5C%5Cfrac%7B2c%20%2B%2020%7D%7Bc%5E%7B2%7D%20%2B20c%7D%20%3D%20%5Cfrac%7B1%7D%7B24%7D%5C%5C24%282c%20%2B%2020%29%20%3D%20c%5E%7B2%7D%20%2B20c%5C%5C48c%20%2B%20480%20%3D%20c%5E%7B2%7D%20%2B20c%5C%5C28c%20%2B%20480%20%3D%20c%5E%7B2%7D%5C%5Cc%5E%7B2%7D%20-%2028c%20-%20480%20%3D%200%5C%5Cc%5E%7B2%7D%20-%2040c%20%2B%2012c%20-%20480%20%3D%200%5C%5Cc%28c%20-%2040%29%20%2B%2012%28c%20-%2040%29%20%3D%200%5C%5C%28c%2B12%29%28c-40%29%20%3D%200%5C%5Cc%20%3D%20-12%2C%2040)
As time can not be negative
So,
we get
c = 40 minutes
∴ we get
Colleen alone to clear the yard of leaves in 40 minutes
Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.
<h3>Calculating the mean.</h3>
Based on the information given, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
= 0 + 0.25 + 0.25
= 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
= ✓0.4899
= 0.699
Learn more about mean on:
brainly.com/question/19243813
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Answer:
-285x+12
Step-by-step explanation:
35x+19−320x−7
Combine like terms
35x-320x +19-7
-285x +12