Answer: a) 27.5, b) 5.33.
Step-by-step explanation:
Since we have given that

and n = 180
We need to calculate the sample mean and sample standard deviation.
So, the mean of the distribution of sample means is

The standard deviation of the distribution of sample means is

Hence, a) 27.5, b) 5.33.
Answer:
F. 4 2/3 centimeters
Step-by-step explanation:
since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.
Answer:

Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

Substitute,

Cross products,


Inverse operations,

Answer:

Step-by-step explanation:
The given parabola has equation

We rewrite in standard form to obtain:


Split the middle terms to get:

Factor by grouping:



4 1/2 = 9/2
8 1/4 = 33/4
1/3 x 9/2 = 3/2
1/3 x 33/4 = 33/12