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 correct answer should be A, and B
Step-by-step explanation:
Because....
the comma would go after the word rain, and B would obviously go in the other blank. C and D makes no sense and i don't think it would make any sense if you put those punctuation marks in blanks.
* Hopefully this helps:) Mark me the brainliest:)!!
<em>∞ ∫ 234483279c20∫∞</em>
"Joint variation<span>" means "directly, but with two or more variables". Thus, we write as follows:
j </span>α gv
<span>
We insert proportionality constant k, to change it to equality.
j = kgv
We solve k,
1 = k (4)(3)
k =1/12
j = gv/12
j = 8(11)/12
j = 22/3</span>
The answer is: False, because, by definition, the distance (which is a scalar quantity) is the absolute value of the displacement. This means that the distance cannot be negative, but the displacement (which is define as a vector quantity can be positive or negative.
Answer:
1. 22583.5 J
2. 1248 kg
3. 78.09 m/s
Step-by-step explanation:
The formula for kinetic energy is ;
K.E = 1/2* m * v²
Where m is the mass and v is the velocity
1.
K.E = 1/2 * m*v²
K.E = 1/2 * 47 * 31²
K.E = 22583.5 J
2.
Velocity = 9.78 m/s.
Kinetic energy = 60,800 J
To get mass, apply the formula as;
K.E = 1/2 * m*v²
60,800 = 1/2 * m * 9.78²
60800 = 48.70845 m
60800/48.70845 = m
1248 = m
Mass = 1248 kg
3.
K.E = 143.3 J
Mass = 0.047 kg
Apply the formula;
K.E = 1/2 * m*v²
143.3 = 1/2 * 0.047 * v²
143.3 = 0.0235 v²
143.3/0.0235 = v²
6097.87 = v²
v = √6097.87
v= 78.09 m/s
