Probability is (desired outcomes)/(total possible outcomes)
ok, you must make a choice
1. if you believe that 1 is prime (which I don't) go to AAAAAAAAAAA
2. if you believe that 1 is NOT prime, go to BBBBBBBBBBB
AAAAAAAAAAAA
prime numbers from 1 to 6 are
1,2,3,5
desired outcomes=4
total possible =6
4/6=2/3
BBBBBBBBB
prime numbers from 1 to 6 are
2,3,5
3 desired outcomes
6 total possible
3/6=1/2
if you belive that 1 is prime, then 2/3 is probability
if you believe that 1 is NOT prime then 1/2 is probability
Answer:
Multiply row 1 by 
.
Step-by-step explanation:
The augmented matrix of the system of linear equation is described below:
![\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D2%261%26-1%26-8%5C%5C0%262%263%26-6%5C%5C-%5Cfrac%7B1%7D%7B2%7D%20%261%261%26-4%5Cend%7Barray%7D%5Cright%5D)
Where 
, if we need to create 
, we need to multiply row 1 by , that is to say:
![\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26%5Cfrac%7B1%7D%7B2%7D%20%26-%5Cfrac%7B1%7D%7B2%7D%20%26-4%5C%5C0%262%263%26-6%5C%5C-%5Cfrac%7B1%7D%7B2%7D%20%261%261%26-4%5Cend%7Barray%7D%5Cright%5D)
Hence, the correct answer is: Multiply row 1 by .
Answer:
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft
Step-by-step explanation:
Pam's picture frame : Square with area of 3 sq. foot
Meg’s picture frame is a circle with a radius, r of 1 foot.
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.
Let's calculate circumference of Meg's picture frame:
Circumference c, = 2πr
r = 1 ft
c = 2 * 3.14 *1 = 6.28 ft
Now calculate Perimeter of Pam's picture frame:
A is area of square and s is the side
A = s²
s² = 3
s = √3
Permeter of square = 4s
= 4√3 = 6.93ft
Now in order to find circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.
Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65
Answer:
See explanation
Step-by-step explanation:
Required
Effect of replacing 
with 
f(x) is represented as: (x,y)
While
f(x - h) is represented as (x - h, y)
Notice the difference in both is that, the x value in f(x - h) is reduced by a constant h while the y value remain unchanged.
This means that the graph of f(x) will shift horizontally (i.e. along the x-axis) to the left by h units
