1. Selection B is the only equation satisfied by both (0, 5) and (2, -1).
2. Selection D is the only one with a slope of 5/2.
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
Do you have the answer options? Sorry, can't answer without them ):
A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is . We hav to find the value of .
Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.
Since, 1 feet = 12 inches.
6 feet = inches.
Now, let us consider the triangle ABC in the attached image,
We have to find
=
= 1.309
Answer:
x²+12x+11=(3x+21)
Step-by-step explanation:
x²+10x–11=(x–1) (+2x)
x²+12x–11=(3x–1) (+22)
x²+12x+11=(3x+21)
Hope that's what you're looking for