Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let 
be the random variable that follows a Poisson distribution, then mean 
and the mean that the random selection of 50 pages will contain no error is 
∴
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
![P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%202%29%20%3D%201%20-%20%5B%20%5Cdfrac%7Be%5E%7B-1%7D%201%5E0%7D%7B0%21%7D%20%2B%5Cdfrac%7Be%5E%7B-1%7D%201%5E1%7D%7B1%21%7D%20%5D)
![P(X \geq 2) = 1 - [0.3678 +0.3678]](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%202%29%20%3D%201%20-%20%5B0.3678%20%2B0.3678%5D)
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644
Answer:
2x^2+x-3
The first number is 2x squared, then plus x, then minus 3.
In geometry, "construct" means do it with a straightedge (not a ruler) and compass.
Here's how you do it:
1. Using the straightedge, draw a line clearly longer than segment RS.
2. Place a dot at one end of the line you drew.
3. Stick the "center" of your compass in the R position of the RS segment.
4. Open the compass so the pencil point passes through the S position. Your compass now marks off segment RS.
5. Without opening or closing the compass, pick it up and stick the center into the dot you made on your new line.
6. Still without opening or closing the compass, make a hash mark that crosses your new line.
7. Place a dot where the hash mark crosses the line. The segment on the new line between the two dots is a segment congruent to RS.
Notice that you didn't use a ruler to measure anything. This is called a "construction" in geometry. It's what the ancient Greeks used to do.
Jane is given a $100 gift to start and saves $35 a month from her allowance.
After 1 month, Jane has saved
After 2 months, Jane has saved
After three months, Jane has saved
and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Step-by-step explanation:
Answer:
c= 17
Step-by-step explanation:
c² = a² + b²
c= ?
a = 8
b= 15
c² = (8)² + (15)²
c² = 64 + 225
c² = 289
