Answer:
a) There is a 98.17% probability that a randomly selected page has at least one typo on it.
b) There is a 9.16% probability that a randomly selected page has at most one typo on it.
Step-by-step explanation:
Since we only have the mean, we can solve this problem by a Poisson distribution.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
In this problem, we have that 
(a) What is the probability that a randomly selected page has at least one typo on it?
Thats is 
. Either a number is greater or equal than 1, or it is lesser. The sum of the probabilities must be decimal 1. So:
In which
.
So
There is a 98.17% probability that a randomly selected page has at least one typo on it.
(b) What is the probability that a randomly selected page has at most one typo on it?
This is 
. So:
There is a 9.16% probability that a randomly selected page has at most one typo on it.
N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different.
<u>Step-by-step explanation:</u>
In question no statements are available , below statements are the required one:
- N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different: N is reflected over y-axis not x-axis so, this option itself is wrong!
-
N is M reflected across the x-axis; only the signs of the y-coordinates of M and N are different: N-M is reflected over y-axis not x-axis , so this option is also wrong.
-
N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different: N-M are reflected over y-axis correct and sign of only x co-ordinate is changed as Co-ordinates are
and 
.Hence, this statement is correct! -
N is M reflected across the y-axis; only the signs of the y-coordinates of M and N are different. N-M is reflected over y-axis , and sign of only x co-ordinate is changed not y . False statement.
We can see that point Correct statement is 3.
Answer:
3. A quadrilateral with each side length 4 cm
Step-by-step explanation:
We need to understand what is a unique polygon?
<em>It means all regular polygons with the same number of sides are similar.</em>
1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees
It is an right triangle, so the 3 sides are not simillar, so it is wrong
2. A triangle with side lengths 5 cm, 4 cm, and 3 cm
It is a triangle with the 3 sides are not simillar, so it is wrong
3. A quadrilateral with each side length 4 cm
It is an square with the 4 sides are simillar, so it is true
4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle
It is a triangle with the 3 sides are not simillar, so it is wrong
Hence, we choose 3.
Answer and Explanation: 35 rounded to the nearest 100 is 0. To round to the nearest hundred, you need to first identify the hundreds that are closest to the number you are rounding. For 35, the closest hundred that is lower than 35 is 0, and the closest 100 that is higher than 35 is 100.
Answer:
-2
Step-by-step explanation:
12=2+7d
7d= -12-2
7d= -14
d= -14
-----
7
d= -2
