Combining like terms:
First do the first part which is 6(u-4)-8, you first distribute 6 to u and -4, 6u-24-8
-24-8=-32, 6u-32
Second part the same thing , distribute -6 to -4u and 6, (negative times a negative equals a positive) 24u-36-2u
24u-2u=22u
Solving:
6u-32=22u-36
Subtract 6u on both sides, -32=16u-36
Add 36 on both sides, 4=16u
Divide 16 on both sides
U=4/16 which is 0.25
Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.
Standard deviation:
Square root of the variance. So
The standard deviation of this probability distribution is 1.2.
3
3/5 x 3 = 9/5
9/5 = 1 4/5
Answer:
Vertex: (3,0)
Max/min: min
axis of symmetry: x=3
Domain: (-∞,∞)
Range: [3,∞)
zeroes: (3,0)
Step-by-step explanation:
Vertex is where the graph changes directions (so in this case it's the point where it changes from decreasing to increasing) which I think is (3,0)
It's a minimum because the coefficent for the degree is positive
The axis of symmetry is just the x value of the vertex (which is x= 3)
the domain is all possible x values (-∞,∞)
The range is all possible y values [3,∞)
The zeroes is where the line hits the x axis, which is (3,0)
The answer to a division problem
