Answer:

Step-by-step explanation:
Let height of a banner be
, then we know that this is
of the length
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:

So there we have it!
If the banner is 5 ft tall, then it's length will be:

Answer:
We have a strong negative relationship between the variables.
Step-by-step explanation:
Given two random variables X and Y, it is possible to calculate the covariance as Cov(X, Y) = E(XY)-E(X)E(Y). We have E(X)=5, E(Y)=6 and E(XY)=21. Therefore Cov(X,Y)=21-(5)(6)=21-30=-9. On the other hand, we know that the correlation of X and Y is the number defined by
and because in this particular case we have V(X)=9 and V(Y)=10, we have
= -0.9487. Therefore, we have a strong negative relationship between the variables.
Answer:
The test statistic for this hypothesis test for a proportion is z=1.90.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the unemployment rate is less than 5%.
Then, the null and alternative hypothesis are:

The sample has a size n=1500.
The sample proportion is p=0.061.

The standard error of the proportion is:
Then, we can calculate the z-statistic as:

This would be a 20% decrease. Since your going from 70 to 56, you would have a percentage of 20 for your decreasing percentage. The difference total is -14.