<span>The probability of the outcome's occurrence by "chance" is 5% or less. "Chance" results are those that are within normal variation, which is defined as 2 standard deviations from the mean. Results that are less than 2 standard deviations from the mean are considered not statistically significant, meaning that the null hypothesis should not be rejected. There are some differences the point at which the 5% case occurs, depending on whether the null hypothesis is directed or not.</span>

4 0

3 years ago

Please help with steps as well!!

satela [25.4K]

Answer:x=24

Step-by-step explanation:x/2-8=4

Add 8 to both sides

x/2=12

Multiply each side by 2

x=24

3 0

3 years ago

Read 2 more answers

Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of the vertex of a parabola of the general form: $y=ax^2+bx+c$ , is given by:

$x_{vertex}=\frac{-b}{2\,a}$

which in our case becomes:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8$

Then, the equation of the axis of symmetry for this parabola is:

$x=8$

4 0

3 years ago

Please help me find DOMAIN/RANGE and the EQATION

kaheart [24]

Answer:

domain:

$( - \infty , \infty )$

range:

$( - \infty ,4]$

equation:

$y = - 2(x - 3) {}^{2} + 4$

Step-by-step explanation:

domain is all X values and the X values will extent till infinity in both negative and positive direction, the range is all y values and the y value will go from negative infinity all the way to 4, where the graph stops.

4 0

3 years ago