Answer:
(3,3)
Step-by-step explanation:
Plot points A(1,1) B(5,1) and C(1,5) on the coordinate plane. These points determine right triangle with right angle at vertex A.
The circumcenter of right triangle ABC is the midpoint of the hypotenuse.
Find the midpoint of the hypotenuse:
Thus, the circumcenter has the coordinates O(3,3)
Answer:
The standard deviation estimate by the Range Rule of Thumb = 18.3
Step-by-step explanation:
i) maximum = 96
ii) minimum = 23
iii) standard deviation
The standard deviation estimate by the Range Rule of Thumb = 18.3
Since 10 out of 14 marbles are green, the probability of selecting a green marble is 10/14=0.714.
Similarly, the probability of selecting a red marble would be 4/14.
Answer: 0.714
Let be the first term in the series and the common ratio. Then the infinite series converges to
Removing the first three terms from the left side effectively multiplies the right side by 27, so
By elimination,
Solve for . We can eliminate so that