First, you need to find the mean of all this set of numbers. You would add them all together and then divide by 6 which is 50.5.
Now you find the sample variance. Subtract each number from the mean.
<span>15.5, 13.5, 8.5, -6.5, -10.5, -19.5 </span>
After, you square each value and add them.
<span>240.25+182.25+72.25+42.25+110.25+380.2... </span>
<span>= 1027.5 </span>
Now divide by 5 (because it's a sample variance) and you get 205.5.
Answer:
The answer to the question is 50.28 feet²
Step-by-step explanation:
Here, is why the answer to the problem is 13.72!
The area of the shaded region is:-
Area of total region - Area of the circular region
Area of total region is 8² so it is 64 feet²
Area of Circular region formula is πr²
Substitute the values, for the formula and it is π4² = 22/7 × 16
→ 352/7
⇒ 13.72 Feet²
Therefore, the area of the shaded region is 13.72 Feet²
(Now, we subtract the two values)
64 - 13.72
⇒ 50.28 Feet²
I hope this answer helps!
A. Find 10% of $20, which is $2. Then subtract the sale 20-2, which is $18
B. Since you know the price without taxes is $18, you have to multiply 8.5% of 18, which is $1.53. $18.00 + $1.53= $19.53
So the answer is $19.53
Hope this helped
Answers:
So the solution is (x,y) = (4, -1)
=============================================================
Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
------------------------
To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
