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andrew11 [14]
3 years ago
13

There are 200 students in an eleventh-grade high school class. There are 40 students in the soccer team and 50 students in the b

asketball team. Out of these students, there are 10 who play on both teams.
Let A be the event that a randomly selected student plays soccer and B be the event that the student plays basketball. Based on this information, answer the following questions.
What is P(A) the probability that the student plays soccer?
What is P(B) the probability that the student plays basketball?
What is P(A and B) the probability that the student plays soccer and basketball?
What is P(A | B) the conditional probability that the student plays soccer given that he or she plays basketball?

Is P(A | B)=P(A)? Are events A and B independent?
Choose all answers that apply:

(Choice A)
Yes, P(A | B)=P(A)

(Choice B)
No, P(A | B)≠P(A)

(Choice C)
Yes, events A and B independent events.

(Choice D)
No, events A and B are not independent events.
Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer:

1/5,1/4,1/20, yes, yes

Step-by-step explanation:

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Sam took 4 courses last semester: Calculus, Biology, History, and Physics. The means and standard deviations for the final exams
frutty [35]

Answer:

Calculus

Step-by-step explanation:

Calculus: z = (94-70)/12 = 2

Bio: z = (74.5-77)/10 = -0.25

History: z = (45-53)/16 = -0.5

Physics: (70.5-60)/14 = 0.75

8 0
3 years ago
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Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
Solve. Use models to help you.
oksian1 [2.3K]

Answer:

3.38

Step-by-step explanation:

x + y + z = 16.9

x = 2y

y = z

y=y

2y (x) + y(y) + y(z) = 16.0

5y = 16.9

y = 3.38

4 0
3 years ago
A man flies a kite with a 100 foot string the angle of elevation of the string is 52 how high off the ground is the kite
Slav-nsk [51]
The kite is approximately 78.80 feet off of the ground.


Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p

sin
52
o
=
h
100
f
t

100
sin
52
o
=
h

100
(
0.7880
)
=
h

78.80
f
t
=
h
4 0
3 years ago
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Need help please I only have a little bit of time
dimaraw [331]

Answer:

A. 7/11

Step-by-step explanation:

5 0
3 years ago
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