Answer:
A single outlier does not affect the values of the quartiles.
Step-by-step explanation:
It is given that data are collected for each band member that spends time on practicing in minutes.
We know that the interquartile range is defined as and the lower quartile, .
This interquartile range describes the middle i.e. the 50 percent of the values when it is ordered from the lowest to the highest or may be from the highest value to the lowest values.
Therefore, the IQR is considered to be a better measure of the spread then the range since the values are not affected by the outliers.
Therefore, we see that the single outlier does not affect the values of the quartiles, it does not change the lower quartile as well as the upper quartiles.
There is something called the 30-60-90 triangle rule.
It has this ratio: 1: sqrt3 : 2.
As for the other triangle, it has a 45-45-90 triangle rule.
It includes this ratio: 1: 1 : sqrt2
Hope this helps!
Answer:
6.25 grams
Step-by-step explanation:
Since we need to find the number of half-lives in 26.3 years, we simply divide 26.3 yrs by 5.26 yrs which yields 5 half-lives. This means that in 26.3 yrs the 200 grams of cobalt-60 will undergo 5 half-lives.
To obtain the remaining amount we simplify the expression;
A = 200*(1-0.5)^(26.3/5.26)
= 200*(0.5)^(5)
= 6.25 grams.
Therefore, the amount of a 200 g sample of colbalt-60 that will remain after 26.3 years is 6.25 grams
Answer:
A
Step-by-step explanation:
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A