Answer:
x < 12
Step-by-step explanation:
Step 1: Write out expression
5(x + 5) < 85
Step 2: Solve
5x + 25 < 85
5x < 60
x < 12
Μ = 500, population mean
σ = 110, population stadard deviation
The given table is
z 0.00 0.25 0.35 0.45 1.00 1.26 1.35 1.36
P 0.5000 0.5987 0.6368 0.6736 0.8413 0.8961 0.9115 0.9131
Range of random variable is X = [350, 550].
Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869
Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736
The probability that x =[350,550] is
0.6736 - 0.0869 = 0.5867
Answer: 0.5867 (or 58.7%)
Answer: The answer is f(x) = (x-3)²-h = (x-3-√h)(x-3+√h).
Step-by-step explanation: We are given to write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.
A quadratic function with vertex having x-coordinate k takes the form of a parabola as follows:
Here, 'k' and 'h' are both real.
Since we the the x-coordinate of the vertex as 3, so k = 3.
Therefore, the quadratic function becomes
This is the required factored form of the quadratic function.
See the attached graph, where the x-coordinate of the vertex is 3 and h is taken to be 2 units.
Answer:
Any of the 4 sequences gives another rectangle
Explanation:
Any rotation or traslation you make over a rectangle wont change the fact that you have still a rectangle.
The same will happen if you make a reflection of any on the axis. Therefore any of the 4 sequences given will give you a rectangle.
