For the given vectors
and 
The dot product of vectors a and b is defined as = 
So, 

= -16+12
= -4
Answer:
The value of the standard error for the point estimate is of 0.0392.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that 
Give the value of the standard error for the point estimate.
This is s. So

The value of the standard error for the point estimate is of 0.0392.
Answer:
4
Step-by-step explanation:
This would be 85 use the percent in division
If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).
So divide 480 by 8: 480/8 = 60
Then the ratio is (3x60):(5x60) or 180:300
To check it is correct, add up the two parts to see that they come to 480:
180+300 = 480. All good.
Hope this helps