3 3/4 inches = (3 3/4 / 12) feet = 0.3125 feet
120 feet requires ------- x number of board.
120 feet/0.3125 feet / board = 384 boards.
1 board costs 1.40
384 boards cost x
1.4 * 384.00= x*1 = x
537.60 dollars.
Note if you need to do this by dimensional analysis, it will look like this.
120 feet/fence [ 1 board / 3.75 inches] [ 12 inches/foot] [1.40 dollars / board]
All units that can be cancelled should be.
The result is 537.6 dollars / fence which is the answer you got.
Given:
The function is
Consider the given domain of g is {-2,0,2}.
To find:
The solution set if the domain of g for the given domain.
Solution:
Domain is the set of input values and range is the set of output value.
We have,
Domain of g is {-2,0,2}.
For x=-2,
For x=0,
For x=2,
Now, the solution set of the given domain of g is
Therefore, the solution set is {18,12,6}.
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
(4,-2) is point H
answer is B. second choice
Answer:
a)
Mean = sum of all numbers in dataset / total number in dataset
Mean = 8130/15 = 542
Median:
The median is also the number that is halfway into the set.
For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data
486 516 523 523 529 534 538 546 548 551 552 558 566 574 586
Standard Deviation (SD). Here X represents dataset and N= count of numbers in data
As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))
SD= 25.082
2) Formula for coefficient of skewness using Pearson's method (using median) is,
SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325
3) coefficient of skewness using the software method is also same which is -0.325
