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.
Answer:
y=29x+50; 30 months
Step-by-step explanation:
$920-50=870
870/29=30
<span>the first term 13m has TWO factors 13 and m
the second term 2n has TWO factors 2 and n</span>
Answer:
The approximate height of the paint can is 8.2 in
Step-by-step explanation:
we know that
The volume of the cylinder ( can of paint) is equal to
we have
Substitute the values and solve for h
231=(3.14)(3)^{2} h
h=231/(3.14*9)=8.2 in
<h2><u>Answer:-</u></h2>
Given:
Two angles form a linear pair.
It means sum of their measures = 180°.
And,
Measure of one angle is 24° greater than the other.
Let the other angle be x.
→ First angle = (x + 24)
According to the question,
<h3>→ x + x + 24 = 180</h3>
→ 2x = 180 - 24
→ 2x = 156
→ x = 156/2
<h3>→ X = 78°</h3>
<u>There</u><u>fore</u><u>,</u>
- 1st angle = 78°
- 2nd angle = 78° + 24° = 102°
