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Misha Larkins [42]
3 years ago
6

Suppose a baseball team has 14 players on the roster who are not members of the pitching staff. Of those 14 players, assume that

three have recently taken a performance-enhancing drug. Suppose the league decides to randomly test five members of the team. What is the probability that at least one of the tested players is found to have taken a performance-enhancing drug
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer: Our required probability would be 0.70.

Step-by-step explanation:

Since we have given that

Number of players = 14

Number of players have recently taken a performance enhancing drug = 3

Number of players have not recently taken a performance enhancing drug = 14-3=11

Number of members chosen randomly = 5

We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.

P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)

So, P(X≥1)=1-P(X=0)

P(X\geq 1)=1-^5C_0(\dfrac{11}{14})^5\\\\P(X\geq 1)=1-(0.786)^5\\\\P(X\geq 1)=0.70

Hence, our required probability would be 0.70.

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2. Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 1
Yuki888 [10]

The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

brainly.com/question/15019502

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4 0
2 years ago
What is 100% of 1,200 IF 1,200 is 50% <br> Brainliest will be given. Also no bots!
LenaWriter [7]

Answer:

2,400

Step-by-step explanation:

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mihalych1998 [28]

Answer:

The answer would be B.

Step-by-step explanation:

Firstly, you need to cancel out equal terms.

That would leave you with: 9=-6.

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The airport security randomly selected 24 suitcases from in the security like. Of these bags, they screened 7 suitcases. Based o
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Answer:

42 suitcases screened = x

Step-by-step explanation:

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7(144) = 24x

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0.8k2

Step-by-step explanation:

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