Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
8 cm
Step-by-step explanation:
The formula of circumference is c= πd------(1)
where C = circumference, π = 3.14 and d = diameter
as we know that diameter is equal to d= 2r
put the diameter formula in eq(1)
we get c= π2r-------(2)
from eq (2) separate r means radius
hence, r= c/(π2)------(3)
put the values in eq(3)
and radius is equal to 8 cm.
A difference in electric potential
In radians:
To get 0, only one part of the multiplication needs to be zero for the whole thing to be zero. Thus we get 2 equations:
t=0, and cos(t)=0
for the first equation, it's pretty self-explanatory and sp we get 0 as one solution.
For the second equation, cos(pi/2) and cos(3pi/2) both equal 0 so both pi/2 and 3pi/2 are answers. Since there is no bound to this problem, the actual answer is:
(2Z+1)pi/2 and 0
(2Z+1) means all odd integers
Use a square + b square = c square a and b are the short sides of a triangle and c is the largest side of a triangle.