At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 18 free throws and made 10, attempted 51 two-point shots and made 21, and attempted 14 three-point shots and made 4. The Eagles attempted 20 free throws and made 9, attempted 45 two-point shots and made 10, and attempted 14 three-point shots and made 6.a.What is the free throw percentage for the Lions? b.What is the free throw percentage for the Eagles? c.What is the field goal percentage (two-point and three-point shots combined) for the Lions? d.What is the field goal percentage (two-point and three-point shots combined) for the Eagles? e.How many points did the Lions score?f.How many points did the Eagles score?g.Which team won the basketball game?

Respuesta :

Answer:

(a) 55.6%

(b) 45.0%

(c) 38.5%

(d) 27.1%

(e) 64

(f) 47

(g) The Lions

Step-by-step explanation:

(a) Free throw % for Lions is

[tex]\dfrac{10}{18}\times 100\% = 55.6\%[/tex]

(b) Free throw % for Eagles is

[tex]\dfrac{9}{20}\times100\% = 45\%[/tex]

(c) For the Lions, they attempted a total of 51 + 14 = 65 field goals and made 21 + 4 = 25.

Field goal % for Lions is

[tex]\dfrac{25}{65}\times100\% = 38.5\%[/tex]

(d) For the Eagles, they attempted a total of 45 + 14 = 59 field goals and made 10 + 6 = 16.

Field goal % for Eagles is

[tex]\dfrac{16}{59}\times100\% = 27.1\%[/tex]

(e) Total points by Lions = (10 × 1) + (21 × 2) + (4 × 3) = 10 + 42 + 12 = 64

(f) Total points by Eagles = (9 × 1) + (10 × 2) + (6 × 3) = 9 + 20 + 18 = 47

(g) The Lions won because they had more points.

As per the details, the answer to the given questions in reference to the data provided would be as follows:

The free throw % for the Lions would be:

a. 55.6%

The free throw % for the Eagles would be:

b. 45.0%

The field goal % for the Lions would be:

c. 38.5%

The field goal % for the Eagles would be:

d. 27.1%

The points scored by the Lions are:

e. 64

The points scored by the Eagles are:

f. 47

The team that won the basketball game would be:

g. The lions

a. Here Lions attempted 18 free throws and made 10

Let's find the free throws % is;

[tex]\frac{10}{18} *100=\frac{1000}{18} =55.6[/tex]%

b. The Eagles attempted 20 free throws and made 9.

The free throw % of Eagle is:

[tex]\frac{9}{20}*100=9*5=45[/tex]%

c. In the case of Lions:

Total attempted field goals = [tex]51+14=65[/tex] and made 21+4 = 25

Let's find the field goal percentage for Lions is:

[tex]\frac{25}{65}*100=38.5%[/tex][/tex]%

d. In the case of Eagles:

Total attempted field goals = 45 + 14 = 59 and made 10 + 6 = 16

Let's find the field goal % for Eagles is:

[tex]\frac{16}{59}*100=27.1%[/tex][/tex]%

e. Now we will find the total points by Lions = 10(1)+21(2)+4(3)

= 10 + 42 + 12

= 64

f. To find the total points by Eagles

9(1) + 10(2) + 6(3)

= 9 + 20 + 18

= 47

g. Since the Lions got maximum got the maximum points, they won the basketball game.

Learn more about "Data" here:

brainly.com/question/16348111