jason wants to choose 9 players for his track team ,there are 12 players to choose from.how many different teams can jason make?

2 answers:

mote1985 [20]3 years ago

6 0

He could only make one team, considering that if you do 12-9, you are left with 3, and Jason wants to have his team consisted of 9 players. However, if you make 3 teams with 4 players on each team, or 4 teams with 3 players on each team, you could do that as well.

PtichkaEL [24]3 years ago

3 0

Answer: 220 team can Jason make.

Step-by-step explanation:

Since, the total numbers of players = 12

The number of players in one team = 9,

Hence, the total combination of choosing 9 players out of 12 players

$=^12C_9$

$=\frac{12!}{9!\times (12-9)!$

$=\frac{12\times 11\times 10\times 9!}{9!\times 3!}$

$=\frac{12\times 11\times 10}{3\times 2}$

$=\frac{1320}{6}=220$

Thus, 220 team can Jason make.

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What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above

Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

$\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}$

Step 2

solve for h

$\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}$

therefore, the heigth of the tree is 16 ft