Answer:
NO SOLUTION
Step-by-step explanation:
Solve this system by substitution:
Replace y in the first equation with -2x - 2:
2x + (-2x - 2) = 2, or
2x - 2x - 2 = 2
0 = 4 This is not possible, so this system has NO SOLUTION.
Answer:
9
Step-by-step explanation:
They both have -10 so just compare 3 and 12. Thats a difference of 9.
-7d > 21
d < -3
Remember the sign flips when you multiply or divide by a negative number.
Answer:
Because we don't know the exact shape of the population distribution since they are not Normally distributed and they are also not very non-Normal
Step-by-step explanation:
We are given;
Population standard deviation;μ = 200
Population standard deviation; σ = 35
Sample size; n = 30
We are told that the weights are not Normally distributed and they are also not very non-Normal. Therefore it means we don't know the exact shape of the population distribution and as such we can't calculate the probability that a randomly selected passenger weighs more than 200 pounds.
Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
![\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7Bb%5E2%5Ctext%7B%20-%204ac%7D%7D%7D%7B2a%7D)
Now, we just replace the values of a, b and c on the equation above.
![\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B5%5E2%5Ctext%7B%20-%204%28-1%29%283%29%7D%7D%7D%7B2%28-1%29%7D)
=
![\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B13%7D%7D%7B2%7D)
