Answer:
The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Step-by-step explanation:
Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.
The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.
The treatment group using technique A reported a mean of 8.9 words.
The treatment group using technique B reported a mean of 12.1 words.
After the data are re-randomized, the differences of means are shown in the dot plot.
The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
The percentage increase in staff was 60.6%.
Answer:
x = 2 or x = 3
Step-by-step explanation:
we have the expression:
First we must remove the square root, for this we pass the 2 to the left:
and we move the square root to the left as an exponent of two:
We develop the square binomial:
and clear the right side for the equation to be equal to zero:
combining like terms:
Because it is a quadratic equation we will have two answers, which we can find by the general formula or by factoring:
To factor we open two parenthesis, both with an x, and look for two numbers that when multiplied result in +6 and when added result in -5, those numbers are -2 and -3, so the factoring is:
And now we use the Zero Product Property, whic is if two thing are multiplied and result in zero one of the two or both things must zero, in this case:
and
the solutions are: x = 2 or x = 3; both satisfy the equation.
Point-slope form : y-y₁=m(x-x₁)
Perpendicular to the given line, and passes through (-4, -3)
Given line slope : -4
How we found slope : I found 2 exact points, and found the slope by doing the slope formula (y₂-y₁/x₂-x₁)
m = slope
However, when a line is perpendicular, we must find the negative reciprocal of our slope.
Slope₁ = -4
Slope ₂ = 1/4
Simply plug everything in.
y - y₁ = m(x - x₁)
y + 3 = 1/4(x +4)
~Hope I helped!~
