Y<-1/2x
Y> or = -1
Because if you plug in a number then it's the only one that fits
Answer:
68 %
Step-by-step explanation:
Let's call X to the random variable ''lengths of a lawn mower part''.
X ~ N(given mean;standard deviation)
X ~ N(4 in;0.2 in)
To find the percentage,first we are going to turn this random variable X into a random variable Z. Z will be a N(0;1)
We do this by subtracting the given mean to the original variable and dividing by it deviation.
P (3.8 in < X < 4.2 in) =
P [(3.8 in - 4 in) / (0.2 in)] < [(X - 4 in)] / (0.2 in) < [(4.2 in - 4 in) / (0.2 in)]
P ( -1 < Z < 1 ) = P (Z < 1) - P (Z< -1)
Where we can find P (Z < 1) and P (Z< -1) in any table of a N(0;1)
P (Z < 1) - P (Z< -1) = 0.8413 - 0.1587 = 0.6826 = 68%
Answer:
(-7, -12)
Explanation:
The translation of (2, 1) to (-3, -2) is 5 units left and 3 and 3 units down
2 - 5 = -3, x-coordinate = -3
1 - 3 = -2, y-coordinate = -2
Thus that makes the coordinates (-3, -2)
So that is taking away 5 from the x-axis and 3 away from the y-axis
-2 - 5 = -7, x-coordinate = -7
-9 - 3 = -12, y-coordinate = -12
Thus, the answer is (-7, -12)
I believe it would be sixteen people. Hope it helps! :)
The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
