Answer: 0.6767
Step-by-step explanation:
Given : Mean =
errors per page
Let X be the number of errors in a particular page.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that a randomly selected page does not need to be retyped is given by :-

Hence, the required probability :- 0.6767
Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
<u>First, we determine the systems of equations:</u>
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
<u>Now, we isolate x in one equation, and substitute it in the other one:</u>
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
<u>Prove: </u>
15*100 + 10*50= 2,000
100 + 50 = 150
In order to write this quadratic equation in standard form, first note that standard form is ax^2+bx+c for quadratics, where c is the numerical value (constant), B is the coefficient of x, and a is the coefficient of x^2 and is the leading coefficient. Next, multiply the binomials of (x-7) and (x-1). You can do this by using FOIL, or by distributing each of the terms in a binomial to each of the other terms in the other binomial. (Please let me know if you need a walk through in this step in particular). Furthermore, you should then write y= (the simplified trinomial). Now, the quadratic is in standard form. To reiterate, just simplify the two binomials by multiplying them together and writing that they're equal to y.