we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
<u>see the attached figure to better understand the problem</u>
therefore
<u>the answer is</u>
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
The question is incorrect.
The correct question is:
Three TAs are grading a final exam.
There are a total of 60 exams to grade.
(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?
Answer: 60!/(25!20!15!)
Step-by-step explanation:
The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’
n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1
The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:
n!/p! q! r!
Therefore,
The answer is 60!/25!20!15!
311km/h = 86.389 m/s
<span>Initial KE </span>
<span>= 0.5 * 210 * 86.389^2 J </span>
<span>work done by force of ground </span>
<span>= F * 0.81 J </span>
<span>0.5 * 210 * 86.389^2 = 0.81 F </span>
<span>F = 967433.58 N </span>
<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>
<span>F = 469.6 times capsule weight ---answer</span>
Answer:
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
Step-by-step explanation:
The interpretation of a confidence interval of level x% means that we are x% sure that the interval contains the true mean of the population.
In this problem, we have that:
The population are all the cell phone users.
The 95% confidence interval is (73.1%, 76.9%).
Which of the following is an appropriate interpretation of the 95% confidence interval?
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
Note that
1.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.
2.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.
3.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.
4.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.
From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.
Answer: correct choice is 3.
