Which values represent the dependent variable? (2,3) (2,-2) (-4,-2) (-2,2) A. {–4, –2, 2} B. {–4, 2, 3} C. {–4, –2, 3} D. {–2, 2
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The dependent variable is the output of a function, which would be the Y value.
In the given set: (2,3) (2,-2) (-4,-2) (-2,2), the Y value is the 2nd number inside each pair of parenthesis.
The answer would be D. {–2, 2, 3}
A. It is an experiment as the sales director is applying treatment ( the training ) to a group and recording the results.
B. I would have 250 sales representatives from each region take the training and 250 from each region to not take it so i can be able to see if it affects both regions differently. The representatives from each region would be chosen at random and the length of their training would be the same for all.
C. now you would only be able to have 200 people from each region train. this would lower the percentage of the impact the training had on the amount of sales ( if any) . For example, if the original 250 trained people in a region increased the sales in that region by 20 percent and 50 of those people ended up not actually training, the sales would have only increased by 16 percent.
D. correlational research is best to establish causality. for example, the amount of training the representatives got may affect how much they are able to sell. also the number of representatives trained may affect the amount sold
Answer:
<h2>The right side triangle is isosceles and equilateral.</h2>
Step-by-step explanation:
In this problem we need to draw isosceles triangles with
. The triangle is attached.
Also, we have to identify which triangle is isosceles based on the image. The triangle on the left is isosceles and equilateral. Remember that a isosceles triangle is defined by the congruence between at least two sides, in this case, we have three congruent sides, which makes the triangle isosceles and equilateral.
The triangle on the right side is not isosceles, it's just a right triangle. When a right triangle is also isosceles, its acute angles are 45°, which is not the case here.
Answer:
A.) NM= x
C.) LM = x√2
E.) tan (45°) = 1
Step-by-step explanation:
If the legs are both x, then the hypotenuse is equal to 
Therefore, LM=
is correct and MN= x
Answer:
D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.
Step-by-step explanation:
We will test the hypothesis on the difference between means.
We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).
Then, the difference between means is:

If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:

The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.
This is approximately 2 standards deviation (z=2).
The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.