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irinina [24]
2 years ago
15

There are 150 students in an eleventh grade high school class. there are 45 students in the soccer team and 35 students in the b

asketball team. out of these students, there are 20 who play on both teams. let A be the event that a randomly selected student in the class 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 the events independent?
Mathematics
1 answer:
mestny [16]2 years ago
7 0

Answer:

P(A) = 3/10

P(B) = 7/30

P(A and B) = 2/15

P(A/B) = 4/7

No P(A/B) ≠ P(A)

No, events A and B are not independent events.

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Izumi is running on a quarter-mile oval track. After running 110 yards, his coach records his time as 16 seconds.
pickupchik [31]

Answer:

14.04 miles per hour

Step-by-step explanation:

The problem is asking for Izumi's speed. The formula of speed is:

  • s = \frac{d}{t} , where "s" means speed, "d" means distance and "t" means time.

The problem is also asking for the unit<u> miles per hou</u>r (\frac{miles}{hour}) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>

Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.

  • 110 yards ÷ 1760 \frac{yards}{mile} = 0.0625 miles (this is the distance covered by Izumi in miles)

Let's go back again to the formula: s = \frac{d}{t}

s = \frac{0.0625 miles}{16 seconds} = 0.0039 \frac{miles}{sec}

Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.

So, if a minute has 60 seconds, then an hour has 3,600 seconds.

Thus, 0.0039 \frac{miles}{sec} × 3,600 \frac{seconds}{hour} = 14.04 miles per hour (the answer)

3 0
2 years ago
8.06
Lera25 [3.4K]

Answer:

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Probability Problems.

Based on the study that Shane conducted we can assume a couple of things. Firstly, we can see that a vast majority of shoppers are buying products they saw advertised, so we can assume that advertising a product directly affects and contributes to the sales of that particular product.

Secondly, we can tell from the study that the number 1 method for advertising products is the Internet. Since 70% of all the interviewed shoppers are buying a product they saw on the internet.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0
2 years ago
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