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grin007 [14]
4 years ago
9

Suppose I am playing a sport that does not allow me to end a match in a tie​ (AKA I have to either win or​ lose). If my probabil

ity of winning at any given time is​ 0.6, find the probability that I win exactly three of five matches
Mathematics
1 answer:
Leviafan [203]4 years ago
6 0

Answer: The required probability is 0.3456.

Step-by-step explanation:

Since we have given that

Probability of winning at any given time = 0.6

Probability of losing at any given time = 1-0.6 = 0.4

Number of total matches = 5

Number of won matches = 3

So, using "Binomial distribution", we get that

P(X=3)=^5C_3(0.6)^3(0.4)^2\\\\P(X=3)=0.3456

Hence, the required probability is 0.3456.

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Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

  • a free single scoop cone = f

<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
  • children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

  • 65 < f ≤ 4

<h3>2.</h3>
  • On Tuesdays, the least amount of flavors = 8
  • The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

  • Least amount of flavors ≤ f ≤ total amount of flavors  
  • 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
2 years ago
Please tell me how can i find x without calculator ?
gtnhenbr [62]
I hope this helps you

3 0
4 years ago
A 12 sided solid has faces numbered 1 through 12. The probability of rolling a number greater than 5
sweet-ann [11.9K]

Answer: 7/12

Step-by-step explanation:

From numbers 1 - 12,  there are seven numbers greater than 5 so they probability of rolling a number greater than 5 is 7/ 12

3 0
4 years ago
To show that polygon ABCDE is congruent to polygon FGHIJ, a must be used to make the two polygons coincide. A sequence of two tr
Sati [7]
Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation). 

A rotation translation must be used to make the two polygons coincide. 

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D 

Have a nice day
7 0
3 years ago
Read 2 more answers
Solve the system ... y=3x-8 and y=-9x+4
natita [175]
1] y - 3x = -8
[2] y + 9x = 4

-3x + y = -8 9x + y = 4

Solve equation [2] for the variable y


[2] y = -9x + 4

// Plug this in for variable y in equation [1]

[1] (-9x+4) - 3x = -8
[1] - 12x = -12
// Solve equation [1] for the variable x


[1] 12x = 12

[1] x = 1
// By now we know this much :

y = -9x+4
x = 1
// Use the x value to solve for y

y = -9(1)+4 = -5

{y,x} = {-5,1}
7 0
3 years ago
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