Solving y+2x < 4x-3 for y would lead to y < 2x-3. You subtract 2x from both sides of the original inequality to get to this result.
To graph y < 2x-3, you first graph y = 2x-3 which is a straight line that goes through (0,-3) and (1,-1). This line is a dashed or dotted line as solutions are not found on the boundary. The shaded region is below the dashed/dotted boundary line to indicate where the solution set is.
To summarize: the graph is a dashed line through (0,-3) and (1,-1) with the shading below the dashed line
The answer is between A and B. It will depend on how those graphs look as to which is the final answer.
A part is the answer.
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Answer:
Option D) 0.92
Step-by-step explanation:
We are given the following probability distribution in the question:
x: 0 1 2 3 4 5
P(X): 0.78 0.14 0.03 0.01 0 0.04
We have to find the probability that a randomly selected student will be absent no more than one day.
Thus, we have to evaluate:
0.92 is the probability that a randomly selected student will be absent no more than one day.
Thus, the correct answer is
Option D) 0.92
Answer:
- w = 8
- x = 8√2
- y = 8√2
- z = 16
Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
5 is in the Ten thousandths place