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:
The number of beads used must be at least 40 to make a decorated rope of at least 20 feet length. The inequality is:
Step-by-step explanation:
Let the number of beads used be 'n'.
Now, length of 1 bead = 6 in
∴ Length of 'n' beads = 
Now, minimum length of rope is 20 ft. Converting feet to inches, we get:
Now, beads are inserted in the rope. So, the length of rope is same as the length of all the beads joined together.
As per question, length must be at least 20 ft or 240 in.
Therefore, the length of all beads joined together must be at least 240 inches. This gives,
Therefore, the number of beads used must be at least 40 to make a decorated rope of at least 20 feet length.
Answer:
Step-by-step explanation:
Its (1,3) and (-3, -2)
Answer:
y=12x-50
Step-by-step explanation:
Distribute 12, x, and 4
y+2=12(x-4)
1. y+2=12x-48
Subtract 2 from both sides
2. y=12x-50
The real answer to this question is 0.013 feet
