Answer:
Step-by-step explanation:
x+165 = 180
x = 180 - 165
x = 15
Answer:
The answer to your questions is: 25 new teachers
Step-by-step explanation:
Data
# of students = 2000
ratio = 3:80 teachers to students
New teachers = ?
Process
I suggest to use rule of three to solve this problem
3 teachers ---------------- 80 students
x ---------------- 2000 students
x = (2000 x 3) / 80 = 75 teachers
Number of initial teachers = 75
The ratio change to 1:20
1 teacher ------------------- 20 students
x ------------------- 2000 students
x = (2000 x 1) / 20
x = 100 teachers
Number of new teachers = 100 - 75 = 25
$232400 Money earned in the next 7 years.
Money earned per year:
$33200 = 1st year
$35400 = 2nd year
$37600 = 3rd year
$39800 = 4th year
$42000 = 5th year
$44200 = 6th year
$46400 = 7th year
As <em>x</em> approaches -1 from the left, the graph of <em>f(x)</em> leads you to the point (-1, 3), so the limit from the left is 3.
As <em>x</em> approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.
The one-sided limits do not match, so the two-sided limit does not exist.
But <em>f(x)</em> is still defined at <em>x</em> = -1; this is indicated by the point (-1, -1). So <em>f</em> (-1) = -1.
Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.