The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings
respectively.
<h3>Equation</h3>
- Michael = x
- Rafael = 2x
- Amanda = 2x + 8
- Total servings = 92 orders
x + 2x + (2x + 8) = 92
3x + 2x + 8 = 92
5x = 92 - 8
5x = 84
x = 84/5
x = 16.8 servings
Therefore,
Michael = x
= 16.8 servings
Rafael = 2x
= 2(16.8)
= 33.6 servings
Amanda = 2x + 8
= 33.6 + 8
= 41.6 servings
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18/24 = pink roses... 75% of the roses are pink.
Answer:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Step-by-step explanation:
To find x, we first have to solve the equation given in the question:
![\frac{20}{12} = \frac{15}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B12%7D%20%3D%20%5Cfrac%7B15%7D%7Bx%7D)
![20x = 15 \cdot 12](https://tex.z-dn.net/?f=20x%20%3D%2015%20%5Ccdot%2012)
![x = \frac{180}{20}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B180%7D%7B20%7D)
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Therefore, x = 9.
Hope this helped!
Answer: 0.500
Step-by-step explanation:
Given : A normal distribution has a mean
of 10 and a standard deviation
of 1.
Let x be a random variable that represents numbers .
The probability of selecting a number that is at most 10 will be
![P(x\leq10)=P(\dfrac{x-\mu}{\sigma}\leq\dfrac{10-10}{1})\\\\=P(z\leq0)=0.500](https://tex.z-dn.net/?f=P%28x%5Cleq10%29%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B10-10%7D%7B1%7D%29%5C%5C%5C%5C%3DP%28z%5Cleq0%29%3D0.500)
As the area occupied by standard normal curve less than equal to 0 = 0.500
So, required probability = 0.500
Answer:
![x = - \frac{3}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20)
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2