If a publisher of nontechnical books takes great pains to ensure that its books are free of typos, so that the probability of an
y given page containing at least one such error is .005 & errors are independent from page to page. What is the probability that:
(a) One of its 400-page novels will contain exactly 1 page with errors? (b) At most three pages are with errors.
(a) One of its 400-page novels will contain exactly 1 page with errors? (b) At most three pages are with errors.
1 answer:
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Answer:
The approximate relative frequency of Managers who worked more than 40 hours will be .
Step-by-step explanation:
The complete question is mentioned below in the attached diagram.
From the question diagram which is attached below, it is clear that
- there are total
employees, and
- there are
are who work more than
hours per week.
Hence, the approximate relative frequency of managers who worked more than 40 hours will be:
Which is is equal to .
Therefore, the approximate relative frequency of Managers who worked more than 40 hours will be .
Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).
Given:
The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).
The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).
To find:
The algebraic representation that represents this dilation.
Solution:
If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:
...(i)
Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,
The image of G after dilation is G'(5,-5). So,
On comparing both sides, we get
So, the scale factor is .
Substituting in (i), we get
Therefore, the required algebraic representation to represents this dilation is .