Answer:
The answer is
<h2>10.2 units </h2>Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(-4,3) and Q(6,1)
The distance between them is
We have the final answer as
<h3>10.2 units to the nearest tenth</h3>Hope this helps you
Answer:
25.5 days
Step-by-step explanation:
Mean number of days (μ) = 22 days
Standard deviation (σ) = 6 days
Z-score for the 72nd percentile (according to tabulated values) = 0.583
The z-score for any number of days, X, is determined by:
The value of X that is greater than 72% of the trial times is:
Therefore, 72% of all of these types of trials are completed within 25.5 days.
Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.
Answer:
The probability that the selected person is a woman engineering major is 0.0396.
Step-by-step explanation:
The proportion of students at the university who are women is 0.42.
<em>P (W) = 0.42</em>
The proportion of students at the university who are engineering majors is 0.18.
<em>P (E) = 0.18</em>
The proportion of engineering majors that are women is 0.22.
<em>P (W|E) = 0.22</em>
The proportion of students at the university that are woman and engineering major is:
Thus, the probability that the selected person is a woman engineering major is 0.0396.