11/36. You need to make both denominators the same
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
Answer:
a) 

b) From the central limit theorem we know that the distribution for the sample mean
is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:

And we select a sample size of 64.
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Part a
For this case the mean and standard error for the sample mean would be given by:


Part b
From the central limit theorem we know that the distribution for the sample mean
is given by:
Part c
For this case we want this probability:

And we can use the z score defined as:

And using this we got:
And using a calculator, excel or the normal standard table we have that:
Answer:
The number of candidates is 136.
Step-by-step explanation:
Answer:
<u><em>canvases over weeks
</em></u>
<u><em>
</em></u>
<u><em>Step-by-step explanation:
</em></u>
<u><em>
</em></u>
<u><em>Given:
</em></u>
<u><em>
</em></u>
<u><em>w(h) represents how many hours per week
</em></u>
<u><em>
</em></u>
<u><em>c(t) approximates how many canvases she paints per hour
</em></u>
<u><em>
</em></u>
<u><em>In function composition, if we have two function f(x) and g(x) then
</em></u>
<u><em>
</em></u>
<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
</em></u>
<u><em>
</em></u>
<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!