let n be the number of times letter be found (1800), p be the success rate (0.068), and q be the failure rate (1 - 0.068 = 0.932)
mean = np = 1800 x 0.068 = 122.4
standard deviation = √(npq) = √(1800 x 0.068 x 0.932) = 10.6807414
Answer:
√26 ≈ 5.1 units
Step-by-step explanation:
√(x₂ - x₁)² + (y₂ - y₁)²
√(3/2 - 5/2)² + (8 - 3)²
√(-1)² + (5)²
√1 + 25
√26
Since the change is to x, it will be a horizontal transformation.
When x is multiplied by a factor between 0 and 1, it stretches the function horizontally.
In this case, it stretches the function by a factor of 2 horizontally.
Answer:
880 oz= 55 lb
Step-by-step explanation:
have a good day
X = 4 ; x = 3 + i ; x = 3 - i
(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)
f(x) = (x-4)(x-3-i)(x-3+i)
Distributing the last two parenthesis first is always the best way to start off
(x-3-i)(x-3+i) has (x-3) in common so it can be separated to
(x-3)^2 + (-i)(+i)
(x^2 - 6x + 9) ; (-i)(+i) is always +1
(x^2 - 6x + 9) + 1
(x^2 - 6x + 10)
Now multiply this with (x-4)
x^3 - 6x^2 + 10x
- 4x^2 + 24x - 40
x^3 - 10x^2 + 34x - 40 = f(x)
