Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
1 and 2 over 3 cubic inches
Answer:
Pythagorean theorem
Step-by-step explanation:
hope this helps
Put the numbers in order
4 5 7 9 11 12 12 14
Find median 9+11=20/2 so 10
Now find median for the first 1/2 of numbers and the second half
6 12
Find difference 12-6=6
IQR=6
Answer:
The relationship B is different than the other three, because it has a different proportionality constant.
Step-by-step explanation:
All available options show direct relationships, which are defined as follows:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Proportionality constant, dimensionless.
We proceed to use the following strategy based on the proportionality constant, that is:
A different relationship must indicate a different proportionality constant:
Option A (
, 
)
Option B (
, 
)
Option C (
, 
)
Option D (, 
)
The relationship B is different than the other three, because it has a different proportionality constant.
