Answer:
B. Inconsistent (No solutions exist)
Step-by-step explanation:
The linear system that consists of parallel lines are <u><em>inconsistent</em></u><em>, </em>which means that no solutions exist.
9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
Answer: 0.10
Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.
Power is the probability of avoiding a type 2 error. That is ;
Power = 1 - P(type 2 error)
Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
Answer:
8 - 
Step-by-step explanation:
For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.
For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is
. Since this really can't be simplified after y is subtracted from x, the final answer is just 8 -
.
Answer:
0.43
Step-by-step explanation: