Answer:
99% CI:

Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation

The MSE can be calculated as

The weighted sample size nh can be calculated as

The standard deviation then becomes

The z-value for a 99% confidence interval is z=2.58.
The difference between means is

Then the confidence interval can be constructed as

Answer:

Step-by-step explanation:
Total number of toll-free area codes = 6
A complete number will be of the form:
800-abc-defg
Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.
Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.
Considering: 800-abc-defg
The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.
Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:
Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 
Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = 
60 is 45 percent of about 133.
Area of a triangle:
A= (1/2)(bh)
In this problem we are given:
A= 178.5

b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":


(multiply each side by 2 to get rid of the 1/2)



(357/21=17)

(solve both inequalities separately)


( a negative height is not possible so, this answer is incorrect.)


Answer: base = (h+4)= (17+ 4)
b= 21 in h= 17inPlease comment with any further questions! :)