Answer:
A system of linear equations usually has a single solution, but sometimes it can have no ... A system of linear equations has one solution when the graphs intersect at a point. ... one. If you find a root and your discriminant is <0 (which means the quadratic really ... P.S. you can't use the discriminant to check linear equations.
Step-by-step explanation:
Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011
Simplifying
5x2 + -17x + 6 = 0
Reorder the terms:
6 + -17x + 5x2 = 0
Solving
6 + -17x + 5x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -5x)(3 + -1x) = 0
Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:
Simplifying
2 + -5x = 0
Solving
2 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2
Combine like terms: 0 + -2 = -2
-5x = -2
Divide each side by '-5'.
x = 0.4
Simplifying
x = 0.4
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:
Simplifying
3 + -1x = 0
Solving
3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
Solution
x = {0.4, 3}
The answer would be 0.3635
Answer:
4m+12--->possible choice, if it's there
Step-by-step explanation:
Distributive Property:
(m+3)4=4m+3x4=4m+12