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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:

You might be interested in
Section 1
icang [17]

Answer:

P(Red) = \frac{7}{25}

Step-by-step explanation:

Given

Red = 35

Blue = 40

Green = 50

Required

Determine the probability of red

P(Red) = \frac{n(Red)}{Total}

Substitute value for n(Red) and calculate Total

P(Red) = \frac{35}{35 + 40 + 50}

P(Red) = \frac{35}{125}

Divide numerator and denominator by 5

P(Red) = \frac{7}{25}

6 0
3 years ago
What is 4(4m-3)-(m-5)=52 step by step
ch4aika [34]

Answer:

-3

Step-by-step explanation:

Simplifying

4(4m + -3) + -1(m + -5) = -52

Reorder the terms:

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

Reorder the terms:

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

Reorder the terms:

-12 + 5 + 16m + -1m = -52

Combine like terms: -12 + 5 = -7

-7 + 16m + -1m = -52

Combine like terms: 16m + -1m = 15m

-7 + 15m = -52

Solving

-7 + 15m = -52

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 15m = -52 + 7

Combine like terms: -7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

Combine like terms: -52 + 7 = -45

15m = -45

Divide each side by '15'.

m = -3

Simplifying

m = -3

Hope this helped :)

8 0
3 years ago
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is f
zaharov [31]

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time t

At t=0, the weight of the bucket is 6+36=42 \mathrm{lb}

After t seconds, the weight of the bucket is 42-0.15 t \mathrm{lb}

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after t seconds is x=1.5 t

Since the well is 80 ft deep, the time to pull out the bucket is \frac{80}{2}=40 \mathrm{~s}

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

W=\int_{t=0}^{t=36} F d x

Use x=1.5 t and F=42-0.15 t

W=\int_{0}^{36}(42-0.15 t)(1.5 d t)

=\int_{0}^{36} 63-0.225 t d t

=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}

=\left[63 t-0.2 t^{2}\right]_{0}^{36}

W=3200 \mathrm{ft} \cdot \mathrm{lb}

4 0
3 years ago
Evaluate the expression 4!
kow [346]

Answer:

24

Step-by-step explanation:

Using the definition of factorial

n! = n(n - 1)(n - 2) ....... × 3 × 2 × 1, hence

4! = 4 × 3 × 2 × 1 = 24

5 0
3 years ago
Read 2 more answers
The ratio of adults to children attending a new exhibit one day at the museum was found to be 7:3. Based on this ratio, if 370 p
Aleks04 [339]
I believe that that day, 111 children attended the museum. 
6 0
3 years ago
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