To find the median, find the middle number. Since there are 10 numbers, find the 5th one and the 6th one and find their average.
The two numbers are both 9, so its safe to say that the median is 9.
to find the median of the first and quartile, you have to place a line where the median should be and find the median of that. Q1 and Q2 will be 5 and 11 (respectively).
Its easy to see that all the lines start at the lowest point given and end at the largest point given, so match Q1, the median, and Q3
The only line that has lines at the Q1, median, and Q3 we figured out is answer C, so therefore it is the answer.
Answer:
In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.
This is represented by y2-y1, x2-x1. This can be represented like so:
-4-0 = -4
5--4 = 9
Here, we have concluded that our slope is -4/9.
Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:
y+4=-4/9(x-0)
To solve, distribute the -4/9 first, which will leave you with:
y+4=-4/9x+0
Now, subract the 4 to both sides of the equation.
Our final answer looks like: y=-4/9-4.
<em>-</em>
<em>SLOPE: -4/9</em>
<em>Y INTERCEPT: -4 </em>
The best and most correct answer among the choices provided by the question is the second choice. <span>A rotation is a movement of a plane about a fixed point so that every ray on the original figure has the same length as every corresponding ray on the image.</span>I hope my answer has come to your help. God bless and have a nice day ahead!
<span>Assume 11^10 - 1 = 0 (mod 100) (i.e. 11^10 - 1 is divisible by 100).
11^10 - 1 = 0 (mod 100)
11^10 = 1 (mod 100)
(11^2)^5 = 1 (mod 100)
(121)^5 = 1 (mod 100)
(21)^5 = 1 (mod 100) [the remainder of 121 divided by 100 is 21]
(21^2)^2(21) = 1 (mod 100)
(41)^2(21) = 1 (mod 100)
81(21) = 1 (mod 100)
1701 = 1 (mod 100)
∴ 11^10 - 1 is divisible by 100.</span>
Answer:
40° or 2π/9 rad
Step-by-step explanation:
Let f(x) = 0 and solve
2cos (3x) + 1 = 0
2cos (3x) = -1
cos (3x) = -1/2
3x = arccos (-1/2) = 120
x = 40° or 2π/9 rad
