Stepwise Descriptive Statistics Learning

Three darts hit a dartboard. If lowest score was 10, range is 10 and mean of scores is 15, what was the score for each of the three darts?

A sample of n = 20 scores is transformed in to z-scores. The mean for the 20 z-scores is ____?
If a researcher reports $t(18)=1.30,p>.05$ for a two-sample independent-measures experiment, the results were significant. T or F?

Meta-analysis helps researchers do which of the following:

a. Investigate the effects of minimum wage increases through controlled laboratory experiments
b. Infer the effects of increases in the minimum wage by averaging the results of other studies
c. Generally find elasticity estimates for labor demand to be highly elastic
d. Examine changes in the minimum wage in multiple countries

I think answer is b. according to the literature below:

"Research since 2007, however, has reported conflicting findings. Some studies use “meta-analysis,” averaging across a set of studies to draw conclusions. For example, Doucouliagos and Stanley (2009) report an average elasticity across studies of −0.19, consistent with earlier conclusions, but argue that the true effect is closer to zero; they suggest that the biases of authors and journal editors make it more likely that studies with negative estimates will be published. However, without strong assumptions it is impossible to rule out an alternative interpretation—that peer review and publication lead to more evidence of negative estimates because the true effect is negative. In addition, meta-analyses do not assign more weight to the most compelling evidence. Indeed, they often downweight less precise estimates, even though the lower precision may be attributable to more compelling research strategies that ask more of the data. In short, meta-analysis is no substitute for critical evaluation of alternative studies."

The 10th grader Jack and the 11th grader Michael have identical math scores (i.e., they both got 95 on Exam 1). Thus, they also have identical z-scores.
a) True. That's what z scores are.
b) Not necessarily. Depends on the standard deviation in each of their classes.

What is the z-score of sample X, if $n=225,\mathrm{\mu <!--\; \mu \; -->}=90,St.Dev.=90,andE[X]=78$

Create an example where meta-analysis would be used in the fitness field and state three considerations to consider in using the meta-analysis approach.

What is the z-score of sample X, if $n=256,\mathrm{\mu <!--\; \mu \; -->}=42,\text{St.Dev}=80,{\mathrm{\mu <!--\; \mu \; -->}}_X=89$?

Meta-analysis examine:
a. I don't know
b. Standard deviation
c. Effect sizes
d. Statistical significance

How do you combine like terms in 5b-9+2b?

What is the range of $y=-<!--\; -\; -->2\sin <!--\; \; -->(x+\mathrm{\pi <!--\; \pi \; -->})-<!--\; -\; -->3$?

Based on the effect size conventions, $d=0.60$ is a
(a)small effect size
(b)medium effect size
(c)large effect size

Number of undirected graphs with n vertices and k edges (inclusive of simple, non-simple, isomorphic, and disconnected graphs)
Given the constraints (or non-constraints rather), is there a closed solution on a set of labeled vertices?
One way I looked at this problem is by trying to implement a constrained stars-and-bars technique on the diagonal and diagonal-exclusive half of the $n\times <!--\; \times \; -->n$ adjacency matrix, but I'm not getting any good leads.
It seems there are multiple definitions of a self-loop in undirected graphs. In the context of this question, I define a self-loop to represent a degree of 2 in an undirected graph.

How do you find the domain and range for $g(x)=\sqrt{x-<!--\; -\; -->1}$?

I understood that naturally occurring phenomenon such a weight of all individuals form a bell curved normal distribution, with more frequency applied to the center. but I'm confused with the arithmetic operators used to derive the Z-score of the standard normal distribution.
Say, I found the mean weight of a population to around 60kg and to convert to standard normal distribution I first subtracted the individual weight/random measure by the mean i.e. with 60kg but then moving on why are we dividing it by (sigma) the standard deviation to find distance of how far the data point is away from the mean. Why did we use the arithmetic operation of division and why divide with sigma (the standard deviation) to find the Z-score? Can someone help out to conceptualize the idea.

Select the study design that we can place the greatest trust on the results?
1. RCT with low risk of bias.
2. Meta-analysis of Observational studies
3. Meta-analysis of RCT's with high risk of bias.
4. Meta-analysis of RCT's with low risk of bias.

In the Z-score formula, can the standard error measurement be used instead of standard deviation?

What is the domain and range of $F(x)=\frac{5}{3-<!--\; -\; -->\cos <!--\; \; -->2x}$?

How do I find the range of the function. $y=2+\sin <!--\; \; -->x$?

How do you find the domain and range of $y=\frac{-<!--\; -\; -->4x-<!--\; -\; -->3}{x-<!--\; -\; -->2}$?