Answer:
Step-by-step explanation:
Sample proportion p is the proportion of favourable numbers to total number in the sample
By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal
with mean = sample proportion
and std deviation =
Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.
It follows automatically that as sample size increases std deviation decreases.
Here from 80 sample size was made to 200
So std deviation would decrease automatically
.65
13/20
Just simply divide and you get .65
The power of products property states that for number
enclosed in a bracket or parenthesis, if it is raised to a power, it must be
multiplied to the power of the enclosed number no matter how different the base
is. You cannot add it because it is not raised. You can only add it if they
have the same base. But in this problem, you will just multiply it. The breakdown
of the solution to this problem is shown below. So,
<span><span>• (2x⁵y²)³=(21x3x5*3y2*3)
= 6x15y6</span><span>
</span></span>
Answer:
Yes, x and y have a proportional relationship.
Step-by-step explanation:
A proportional relationship means that, when comparing two quanities, that they are both changing at a constant (same) amount. When looking at a table to compare quantities, you can see that the pounds of tomatoes 'x' is increasing by one (1) each time. If you look at the amount spent in dollars 'y', you can see that for each pound (x), the cost is increasing by $4. So, since for every pound of tomatoes that is purchased increases by $4, then their relationship is proportional.
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by
The sum is
approximately 2.66.