Answer:
or 0.5826
Step-by-step explanation:
Given : The total number of teachers in at a college = 318
In sample of n= 115 teachers from this college, the number of teachers with doctorates : x=67
Then, the sample proportion of teachers at this college with doctorates
Since the sample proportion is the best estimate of the population proportion.
Therefore , the estimated the population proportion of teachers at this college with doctorates = ![\hat{p}=\dfrac{67}{115}\ or\ 0.5826](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B67%7D%7B115%7D%5C%20%20or%5C%200.5826)
I'm guessing at what you want. I think you want to know the number, but you could also just want the equation.
Step One
Start with "the sum of a number and - 3." That looks like this.
x + - 3 = x - 3
Step Two
"Is multiplied by - 5"
- 5 (x - 3)
Step Three
"... the result is 35"
-5(x - 3) = 35
Solve
You can remove the brackets or divide by - 5
-5x - 15 = 35 Add 15 to both sides
- 5x = 35 + 15
-5x = 50 Divide by - 5
x = 50/-5
x = - 10 <<<< Answer
Answer:
your answer will be option D. exponential decay
Step-by-step explanation:
have a nice day/ night bye ^_^
-1/5 would be your answer for this problem.
The number is -9
Step-by-step explanation:
Let x be the number then according to given statement
![4x+10 = x-17](https://tex.z-dn.net/?f=4x%2B10%20%3D%20x-17)
Subtracting 10 from both sides
![4x+10-10 = x-17-10\\4x = x-27](https://tex.z-dn.net/?f=4x%2B10-10%20%3D%20x-17-10%5C%5C4x%20%3D%20x-27)
Subtracting x from both sides
![4x-x = x-x-27\\3x = -27](https://tex.z-dn.net/?f=4x-x%20%3D%20x-x-27%5C%5C3x%20%3D%20-27)
Dividing both sides by 3
![\frac{3x}{3} = \frac{-27}{3}\\ x = -9](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B-27%7D%7B3%7D%5C%5C%20x%20%3D%20-9)
<u>Verification:</u>
![4(-9)+10 = -9-17\\-36+10=-26\\-26=-26](https://tex.z-dn.net/?f=4%28-9%29%2B10%20%3D%20-9-17%5C%5C-36%2B10%3D-26%5C%5C-26%3D-26)
The number is -9
Keywords: Linear equation, variables
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