When you were 2, your brother were 2/2=1. So you are one year older than your brother.
If you are 100 now, then your brother is 100-1=99.
Answer:
a) Permutation, because the coach has to designate an order in which they will take penalty
b) There are 55,440 different ways for the coach to do this.
Step-by-step explanation:
It the order is not important, we have a combination.
If the order is important, we have a permutation.
In this question:
5 players from a set of 11 and designate an order.
This means that the order is important, and we have a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
(a) Is this a permutation or a combination? Why?
Permutation, because the coach has to designate an order in which they will take penalty
(b) How many different ways are there for the coach to do this?
![P_{(11,5)} = \frac{11!}{(11-5)!} = 55440](https://tex.z-dn.net/?f=P_%7B%2811%2C5%29%7D%20%3D%20%5Cfrac%7B11%21%7D%7B%2811-5%29%21%7D%20%3D%2055440)
There are 55,440 different ways for the coach to do this.
Answer:
Europeans were so afraid of the Vikings because they raided/ took over parts of their land in Western Europe.
Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
The dog food will last for 48 meals. Because. 36 divided by 3/4 (.75)= 48 (dog food meals). Hope this helped!