I think the answers would be B) 17
Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:
The 3*2*1 cancels out and leaves us with:
So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
Answer:
x = 1 , y = 1 and z = 0
Step-by-step explanation:
-2x+2y+3z=0 ------(1)
-2x-y+z=-3 --------(2)
2x+3y+3z=5 ---------(3)
<u>To find the values of x,y and z</u>
(3) - (2)⇒ 2y + 4z = 2
y + 2z = 1 --------(4)
(1) - (2)⇒ 3y +2z =3 ---(5)
(5) - (4)⇒ 2y = 2
y = 1
Substituting the value of y in (4) we get z =0
Substituting the value of y and z in (1) we get x = 1
Therefore x = 1 , y = 1 and z = 0
Answer:
0.345
Step-by-step explanation:
hits/at-bats = 345/1000 = 0.345
The probability of a hit, any particular time he goes to bat. is 0.345.
The problem does not request any particular format, so 0.345 is a perfectly good answer.
In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.
On the other hand, if we did want to express the probability as a percentage, we would do this:
0.345 * 100% = (0.345 * 100) % = 34.5 %
Hope this helps
Commutative Property of Multiplication. Hope this helps :)
