Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
<em>Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.</em>
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)
All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....
Is there a mistake in the question?
Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.
Answer:
6
Step-by-step explanation:
-4x -3 = -6x +9
-4x = -6x +12
2X = 12
x = 6
Probabilities are used to determine the chances of events
The probability that a randomly selected person with multiple jobs is a male or married is 0.782
<h3>How to determine the probability</h3>
The given parameters are:
Sample size, n = 655
Male = 381
Married = 299
Male and Married = 168
The number of those that are male or married is calculated as:
Male or Married = Male + Married - Male and Married
So, we have:
Male or Married = 381 + 299 - 168
Evaluate
Male or Married = 512
The probability is then calculated as:
p = 512/655
Evaluate
p = 0.782
Hence, the probability that a randomly selected person with multiple jobs is a male or married is 0.782
Read more about probability at:
brainly.com/question/25870256
Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards