Answer:
46%
Step-by-step explanation:
Given that:
23/ 50 of Xander's friend prefer to stay at home;
Total number of friend's = 50
Number who prefer to stay home = 23
Hence, percentage who prefer to stay at home :
(23 /50) * 100%
0.46 * 100%
= 46%

Divide both sides by
to get


Substitute
, so that
. Then



The remaining ODE is separable. Separating the variables gives

Integrate both sides. On the left, split up the integrand into partial fractions.




Then

On the right, we have

Solving for
explicitly is unlikely to succeed, so we leave the solution in implicit form,

and finally solve in terms of
by replacing
:



The z-score of a certain data point in the given statistical data is calculated through the equation,
z-score = (x - m) / sd
where x is the data point, m is the mean and sd is the standard deviation.
Substituting the known values,
z-score = (51.8 - 52.3) / 1.8
z-score = -0.277
Rounding the answer to the nearest tenth will give an answer of -0.3.