I think the answer may be that an event is as likely as not to happen when the probability of the event happening is 50%, and the probability of the event not happening is 50%. Like a coin toss, the chance you will flip a "heads" is 1/2 or 50%, and the chance that you WON'T flip a heads is also 1/2 or 50%
Answer:
-1, 4+i, 4-i
Step-by-step explanation:
x^4- 6x^3 + 2x^2 + 26x + 17
Using the rational root theorem
we see if 1, -1, -17 or 17 are roots
Check and see if 1 is a root
1^4- 6(1^3) + 2(1^2) + 26(1) + 17=0
1-6+2+26+17 does not equal 0 1 is not a root
-1
1^4- 6(-1^3) + 2(1^2) + 26(-1) + 17=0
1 +6 +2 -26+17 = 0
-1 is a root
Factor out (x+1)
(x+1) ( x^3-7x^2+9x+17)
Using the rational root theorem again on x^3-7x^2+9x+17
Checking -1
-1 -7 -9 +17=0
-1 is a root
(x+1) (x+1) (x^2-8x+17)
Using the quadratic on the last
8 ±sqrt(8^2 - 4(1)17)
--------------------------------
2
gives imaginary roots
4±i
let me tell u I don't know so give me an complete thuought
Answer:
The actual area of the page will be 120 square inches.
Step-by-step explanation:
Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).
If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.
So, the area of the page is (6 × 5) = 30 square units.
Now, given that 1 square unit is equivalent to 4 square inches.
Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
