Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
Using the z-distribution, we have that:
- The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
- The <u>margin of error</u> is of 0.8 in.
- The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:
The margin of error of a z-confidence interval is given by:
In which:
- z is the critical value.
is the population standard deviation.
- n is the sample size.
We have to find the critical value, which is z with a p-value of 
, in which 
is the confidence level.
In this problem, 
, thus, z with a p-value of 
, which means that it is z = 2.575.
Then, the margin of error is:
The <u>margin of error</u> is of 0.8 in.
The interval is:
The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at brainly.com/question/25300297
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
60 units
Step-by-step explanation:
Ratio of the perimeter = ratio of sides
Sides are in the ratio:
6 : 24
1 : 4
Perimeter of the first triangle:
4+5+6 = 15
Perimeter of the second triangle:
4(15) = 60
