Answer:]
At least 75% of the eruptions lasted between 1.24 and 5.6 minutes.
Step-by-step explanation:
We are given the following information in the question:
n = 32
Mean = 3.42
According to Chebyshev's rule:
At least
, percent of data lies within
, where s is the standadrd deviation of the data and
is the mean of data.
For k = 2, we have
![1 - \displaystyle\frac{1}{4} = \displaystyle\frac{3}{4} = 75\%](https://tex.z-dn.net/?f=1%20-%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B3%7D%7B4%7D%20%3D%2075%5C%25)
75% of data lies within the range of
![(3.42 \pm 2\times 1.09)\\= (3.42 - 2.18, 3.42 + 2.18)\\= (1.24,5.6)](https://tex.z-dn.net/?f=%283.42%20%5Cpm%202%5Ctimes%201.09%29%5C%5C%3D%20%283.42%20-%202.18%2C%203.42%20%2B%202.18%29%5C%5C%3D%20%281.24%2C5.6%29)
Thus, at least 75% of the eruptions lasted between 1.24 and 5.6 minutes.
Answer:0.16 bar ontop of 6
Step-by-step explanation:
Let's put it into numbers:
Ruba: 1 000 000
Zamba: 100 000 000 000
Zamba has many more aliens than Ruba!!!
it has 100 000 000 000/1 000 000 =100 000 times more aliens,
in absolute numbers: 100 000 000 000 - 1000 000 = =99 999 900 000
100 000 000 000
- 100 000
=99 999 900 000
Answer:
8.8in
Step-by-step explanation:
cube 571.787
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5