The fraction Is already in its simplest form :)
They do not have any common factors
Answer:
Neither
Step-by-step explanation:
Parallel must have the same slope.
Perpendicular must have reciprocal slopes.
These two contain neither.
Answer:
Triangle DEF is not a right triangle ; possible lengths are 20 & 15
Step-by-step explanation:
For right triangle;
the sum of the square of the two adjacent sides must equal the square of the hypotenus.
Therefore, (6^2)+(11^2)≠(13^2).
the possible length are 20 & 15 because
(20^2)+(15^2)=(25^2)
Answer:
Step-by-step explanation:
An isosceles triangle has 2 sides that are the same length. Let's say that our triangle has the 2 sides measuring the same and the base is a different length. The vertex angle is the top angle. By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure. If we know the measure of the vertex angle, then we have
180 = vertex angle - base angle - base angle
but since the base angles are the same and we have 2 of them, then
180 = vertex angle - 2 base angles
For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100. That 100 has to be split in half for each of the base angles which are the same as each other. So the vertex angle is 80 and each base is 50.
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
