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hodyreva [135]
3 years ago
15

i need you to explain your answer and show your work for me to have all 5 points! thank you so much and i hope you have a great

day1

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

42 cm ^2

Step-by-step explanation:

The area of a triangle is 1/2 B x H ( one half base times height)

The base is 6 cm and the height is 14 cm. So the full equation now is

1/2 (6) (14)

First you multiple 6 times 14 which is 84. Next you just divide it by 2 because 1/2 is half of the number. 84 divided by 2 is 42. So your answer is

42 cm ^2 (centimetres squared)

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Probability of a student playing both basketball and baseball is 7/28

Step-by-step explanation:

Step 1:

It is given the class has 28 students out of which 11 play basketball and 13 play baseball. It is also given that 11 students play neither sport.

Total number of students = 28

Students playing neither sport = 11

Students playing at least one sport = 28 - 11 = 17

Step 2:

Let N(Basketball) denote the number of students playing  basketball and N(Baseball) denote the number of people playing  baseball.

Then N(Basketball U Baseball) denotes the total number of students playing basketball and baseball and N(Basketball ∩ Baseball) denotes playing both basketball and baseball.

Since the number of students playing at least one sport is 17, N (Basketball U Baseball) = 17.

N (Basketball U Baseball) = N(Basketball) + N(Baseball) - N(Basketball ∩ Baseball)

N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 11 + 13 - 17 = 7

Step 3:

Number of students playing both basketball and baseball = 7

Total number of students = 28

Probability of a student playing both basketball and baseball is 7/28

Step 4:

Answer:

Probability of a student playing both basketball and baseball is 7/28

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