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Irina18 [472]
3 years ago
10

You randomly choose one of the following numbers shown. Find the probability the event can occur choosing a number greater than

4. (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
Mathematics
1 answer:
sergey [27]3 years ago
7 0
<h3>Answer:  7/11</h3>

======================================================

Explanation:

The event space is the set of outcomes we want to happen.

The event space is {5, 6, 7, 8, 9, 10, 11} which consists of getting a value greater than 4. There are 7 items in this event space. Let A = 7.

The sample space consists of all possible outcomes. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and there are 11 items in the sample space. Let B = 11.

Divide the values of A and B to get the answer we're after

A/B = 7/11

This is the probability of selecting a value greater than 4.

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Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are decidin
Goshia [24]

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

  • Number of countries they are planning to visit = 9
  • Number of countries they would like to visit = 13

<h3>Combination</h3>

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

13 - 9 = 4

To decide which country they have to skip, it would be 4 out of 13.

x = ^1^3C_4 = \frac{13!}{4!}

Let's solve this

\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

brainly.com/question/12468032

6 0
2 years ago
Rounding to the nearest hundred thousand 44,019
docker41 [41]

Answer:

44,000

Step-by-step explanation:

The number 19 is closer to 0 than 100 so you round down

Sorry you didnt get an answer right away, but I hope this helps! :)

3 0
3 years ago
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio
Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

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3 0
2 years ago
If any1 is virtual and is in a class gimme your code and password
vladimir2022 [97]

Answer: i would but im on microsoft teams

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ted invests $8,310 in a savings account with a fixed annual interest rate of 2% compounded continuously. How long will it take f
Vsevolod [243]

Answer: It will take 8 years.

Step-by-step explanation:

Equation for interest compounded continuously:

A=Pe^{rt} , A = accumulated amount , P=Principal value , r =rate of interest , t= time.

Given: P=  $8,310 , r = 2%  , A= $9,751.88

9751.88=8310e^{0.02t}\\\\\Rightarrow\ \dfrac{9751.88}{8310}=e^{0.02t}\\\\\Rightarrow\ 1.17351143201=e^{0.02t}

Taking natural log on both sides

\ln (1.17351143201)=\ln (e^{0.02t})\\\\\Rightarrow\ 0.160000478068=0.02t\\\\\Rightarrow\ t=\dfrac{0.160000478068}{0.02}\\\\\Rightarrow\ t=8.0000239034\approx8

Hence, it will take 8 years.

8 0
3 years ago
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