Answer:
A. 1, 287 ways
B. 154,440 ways
Step-by-step explanation:
A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.
The correct way to do this is by using the combination formula since order is not considered;
Thus we have ; 13 C 5 read as 13 combination 5;
Mathematically, n C r is ; n!/(n-r)!r!
Thus, we have ;
13!/(13-8)!8! = 13!/5!8! = 1,287 ways
B. By considering order, we shall be using the permutation formula;
Mathematically n P r = n!/(n-r)!
Read as n permutation r;
Using the numbers involved, we have ; 13 P 5
= 13!/(13-5)! = 13!/8! = 154,440 ways
Answer:
She traveled a total of 2875 metres during practice.
Step-by-step explanation:
Doris ran 2.5 kilometres, then sprinted 300 meters and finally walked 1/4 of the distance she sprinted.
To find the total distance that she traveled, we simply add the distance that she ran, sprinted and walked.
We will convert all distances to metres.
She ran 2.5 kilometres:
1 km = 1000 m
2.5 km = 2.5 * 1000 = 2500 m
So, she ran 2500 m.
She sprinted 300 m.
Se walked 1/4 the distance that she sprinted:
1/4 * 300 = 75 m
She walked 75 m.
Therefore, the total distance she traveled is:
2500 + 300 + 75 = 2875 m
She traveled a total of 2875 metres during practice.
Answer: 2 pounds
Step-by-step explanation:
Hope this helps!!! ; )
The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a.
