Answer:
Circumference: 43.9822971503 or 43.98
Area: 153.9380400259 or 153.94
Step-by-step explanation:
So basically for the circumference you use C= d×π which means that the circumference is equal to the diameter (radius times 2) multiplied by pi! For the area you use the formula A= r^2×π which means the radius squared (radius times itself) multiplied by pi! By the way you can also round pi down to 3.14 to make it easier. Anyway I hope this helps!!
Identify the median for the data of Johnny’s test scores: 92, 96, 97, 83, 92, 58, 93, 88, 77, 48, 65, 80, 71
Anastasy [175]
Answer
The median is 83
Step-by-step explanation:
You must put the scores in order to find median.
48, 58, 65, 71, 77, 80, 83, 88, 92, 92, 93, 96, 97
Then you find the number that is in the exact middle of the list.
In this case the median (middle number) is 83
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
so, let's multiply both sides by the LCD of 7 to do away with the denominators
