Answer:
6^21 = B
Step-by-step explanation:
![[6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\](https://tex.z-dn.net/?f=%5B6%5E%7B7%7D%20%5D%5E%7B3%7D%20%5C%5C%286%29%5E7%5E%2A%5E3%5C%5C6%20%5E%7B21%7D%20%5C%5C)
Answer:
Probability to get tails exactly 8 times or exactly 5 times is 0.29
Step-by-step explanation:
No of ways the coins lands tails exactly 8 times
P(8) = 15C8 ×
× 
No of ways the coin lands tails exactly 5 times
P(5) = 15C5 ×
× 
Probability to get tails exactly 8 times or 5 times
P(8)+P(5) = 15C8 ×
+ 15C5 × 
P =
( 15C8 + 15C5 )
P =
( (
) + (
) )
P =
( 6435 + 3003 )
P =
( 9438)
P =
( 4719)
P = 
P = 0.29
4*6 = 24. (4 dollars to spare)
(5*2) + (4*4) = 26 (2 dollars to spare)
^ ^
Number of people
The answer to this rests on knowing that there are four properties of multiplication (which your teacher will likely expect you to know...):
These are:
1. commutative
2. associative
3. multiplicative identity
4. distributive
I won't define each of these -- they should be in your notes or textbook. Look them up.
In this case, we are multiplying three terms together -- on the left hand side the parentheses mean to multiply a and b first, then multiply that by 3. On the right hand side, we multiply b times 3 first, and then multiply the product by a.
This would be an example of the associative property of multiplication: when three or more factors are multiplied together, the product is the same regardless of how the factors are grouped.
Hope this helps!
Good luck
Combination event: 2 or more simple events/actions
The correct answer is D) because there are 2 actions in one description.