Answer:
A
Step-by-step explanation:
(3x -14) + 9x is 90 degrees, so if you add 90 it becomes 180 degrees
It is 90 degrees because you can see that there is a right angle there
Answer:
300
Step-by-step explanation:
10 x 30= 300
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = ![\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B4m%2Bn%28-4%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B8-24%7D%7B2%2B6%7D)
= -
= -2
and y = ![\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B7m%2Bn%28-9%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B14-54%7D%7B2%2B6%7D)
= 
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
Answer:
k=0.832926
Step-by-step explanation:
Answer:
- d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
Step-by-step explanation:
- Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?
{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)
- a. Mateo scored a 55% on his exam.
- b. Mateo scored as well as or better than 55% of his classmates, with a score of 78.
- c. Mateo scored worse than 55% of his classmates, with a score of 78.
- d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
- e. Mateo scored worse than 55% of his classmates, with a score of 82.
<h3>Solution</h3>
There are scores of 20 students. Each score is equivalent of 100%/20 = 5%
The easy way to understand Mateo' s place is to compare scores against 5% slots.
<em>See attached.</em>
We can also get the average score
<u>Sum </u>
- ∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556
<u>Average or mean score:</u>
This is matching the 50% score.
As we see Mateo scored 82 which is matching 55%.
Correct option is d.