Answer:
The team can assign field positions to 9 of the 19 players in 181,440 different ways.
Step-by-step explanation:
Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:
3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X
21 x 30 x 12 x 24 = X
630 x 12 x 24 = X
181,440 = X
Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.
<u><em>Answer:</em></u>
<u>The rule is: </u>
T(x) = 8x + 20
<em><u>Explanation:</u></em>
<u>We are given that:</u>
<u>The rule for the amount that one friend pays is:</u>
C(x) = 2x + 5
<u>Now, we know that:</u>
Each of the four friends will pay the entry fee which is $5 per person
The 4 friends will play the same number of games represented by x
<u>This means that:</u>
We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4
<u>This means that:</u>
T(x) = 4 * C(x)
T(x) = 4(2x + 5)
T(x) = 8x + 20
Hope this helps :)
Answer:
to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation:
Answer:
9 times 59 is 531. 531+240= 771 she needs to work 59 hours.
Step-by-step explanation:
Answer:
About 9.6 meters
Step-by-step explanation:
Refer to attachment
