Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean
and standard error 
In this problem:
- Sample of 500 customers, hence
.
- Amazon believes that the proportion is of 70%, hence

The <u>mean and the standard error</u> are given by:


The probability is the <u>p-value of Z when X = 0.68</u>, hence:

By the Central Limit Theorem



has a p-value of 0.1635.
0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
A similar problem is given at brainly.com/question/25735688
Answer:
ok the answer should be A.
Step-by-step explanation:
you transform the coordinates from (x,y) to (-y,x)
this means to flip the coordinates like bring y up front and change its sign and take x to the initial y position.
for example if (-1,9) when you do the transformation you get (-9,-1). you take initial -1 to the right and bring 9 to left and change its sign.
when you are done you can see that the x axis coordinates are the same but the y axis coordinates are the direct opposite. this means that after the transformation the triangle would look like the mirror image of the original triangle.
Answer:
New England had skilled craftsmen in the industry of shipbuilding. The Mid-Atlantic presented a diverse workforce of farmers, fisherman, and merchants. The Southern Colonies were primarily agricultural with few cities and limited schools.
Hope this helped :)
Answer:
12 blueberries, 4 strawberries
Step-by-step explanation:
For every 3 blueberries, there is 1 strawberry. So 3 + 1 = 4
As there are a total of 16 berries in the bowl, 16/4 = 4 so there are 4 lots of "3 blueberries and 1 strawberry".
Therefore, there are 3 x 4 = 12 blueberries
1 x 4 = 4 strawberries
Answer:
x= 1/5 y= 23/5
Step-by-step explanation: