the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian

Answers

Answer 1

Answer:

[tex]Probability =0.1744[/tex]

Step-by-step explanation:

Given

Total

[tex]American = 11[/tex]

[tex]Canadian = 18[/tex]

Selection

[tex]American = 0[/tex]

[tex]Canadian = 4[/tex]

Required

Determine the probability of selecting a 4 committee member that are Canadian.

First, we calculate total possible selection.

[tex]Total = American + Canadian[/tex]

[tex]Total = 11 + 18[/tex]

[tex]Total = 27[/tex]

Number of ways to select 4 from 27 is:

[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]

[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]

[tex]^{27}C_4 = \frac{421200}{24}[/tex]

[tex]^{27}C_4 = 17550[/tex]

Next, we calculate ways of selecting 4 Canadians from 18 is:

[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]

[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]

[tex]^{18}C_4 = \frac{73440}{24}[/tex]

[tex]^{18}C_4 = 3060[/tex]

The required probability is:

[tex]Probability =\frac{3060}{17550}[/tex]

[tex]Probability =0.1744[/tex]


Related Questions

6x^2-5x-4=0
solving quadratics by factoring (answer with {} around it)

Answers

Step-by-step explanation:

6x²–5x–4 = 0

6×4 = 24..

write many ways 24 can be written..

24 = (6×4), (1×24), (12×2), (8×3)

(8×3) --> –8+3 = –5

6x²+3x–8x–4 = 0

6x(x+½)–8(x+½) = 0

(6x–8)(x+½) = 0

6x–8 = 0, x+½ = 0

6x = 8, x = –½

x = 4/3, –½

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Answers

4.) x = -2
5.) y = 3
6.) y = 2x - 4

PLs HElp I ONLY HAVE AN HR
What is the sign of the product (3)(-3)(-2)(4)? (5 points)

a
Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive

b
Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is positive

c
Negative, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative

d
Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative

Answers

Answer:

a

Step-by-step explanation:

just read through the answer choices and you can see that the other three are wrong

Answer:

Step-by-step explanation:

you multiply a positive with a negative=negative (3)(-3)=-9

(-9)(-2)=+18(4)=72 positive

a

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Answers

Answer:

The answer is 5x

Step-by-step explanation:

solve the inequality

Answers

Answer:

m ≥ –6

Step-by-step explanation:

m+5 ≥ –1

subtract 5 from both sides

m ≥ -6

Complete the numeric pattern.
1,2,4, blank, blank
32, blank

Answers

Answer:

1,2,4,8,16,32,64

Step-by-step explanation:

You double the answer each time.

Justine drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. In the drawing, the backyard is 8 inches long. What is the length of the actual yard? QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

48 inches

Step-by-step explanation:

1 inch is 6 feet.

8 inches would be 48 feet.

Saige splits the following rectangle into 4 rows and 5 columns.
How many total same-sized squares did Saige make?
same-sized squares did saige make?​

Answers

The total number of same-sized squares Saige made is 20

How to determine the number of same-sized squares?

The given parameters are:

Rows = 4

Columns = 5

The number of same-sized squares is calculated as:

Square = Rows * Columns

This gives

Square = 4 * 5

Evaluate

Square = 20

Hence, the total number of same-sized squares Saige made is 20

Read more about rows and columns at:

https://brainly.com/question/14078371

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Answers

Answer:

Meredith runs 90 meters in 1 min

Step-by-step explanation:

The information says that she runs at a rate of 90 meters per minute.

90 meters in 1 min

180 meters in 2 min

Which has the greatest value for 1? *
A. 0.1
B. 0.21
C. 0.321
D. 0.4321​

Answers

Out of all the numbers

D. 0.4321 is the largest number

can u pls help me with this question ​

Answers

a: 68 and also b:59 hope this helps :)

Answer:

Allie found 102 near-sighted patients in a week.

Sam found 177 near-sighted patients in a week.

Step-by-step explanation:

I had this on my English test, lol

Please help me eith this Ive asked like six times
Also please explain in depth bc these questions in general confuse me

Answers

Answer: WX = 12

Step-by-step explanation:

WX = 2VX

WX = 2 (6)

WX = 12

This is what I was thought in class so I hope it's right..

I need Help please please

Answers

Answer:

the answer will be B

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Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?

Answers

Answer:

1.3 repeated is the answer

Answer:

Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container

7TH GRADE 30 POINTS FOR ONS QUESTION HELP PLEASE ​

Answers

Answer:

G

Step-by-step explanation:

It is G,

find the slope please​

Answers

The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

May I have brainliest please? :)

HELPPP MEEEEEEEEEEEEEEEEEEEEEEE

Answers

The third one hope that helps

Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away . d(t) models Tanya's remaining distance to walk (in kilometers), t minutes since she left home. Which number type is more appropriate for the domain of d?

Answers

Answer:

Real numbers

0≤ t ≤17

In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union.

Answers

Answer:

The 95% confidence interval of true proportion of workers who belong to a union.

(0.29657 , 0.40343)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 600

Given sample proportion  p = 35% or 0.35

The 95% confidence interval of true proportion of workers who belong to a union.

[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]

[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]

( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)

(0.35 - 0.05343 , 0.35 + 0.05343)

(0.29657 , 0.40343)

Final answer:-

The 95% confidence interval of true proportion of workers who belong to a union.

(0.29657 , 0.40343)

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Answers

Answer: kk

Step-by-step explanation:

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Answers

Answer:

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Answer:

yep these are correct

Step-by-step explanation:

what is the solution 2x-y=-2 2x+4y=8

Answers

Answer:

The answer is

x is 0

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Step-by-step explanation:

2x-y=-2

-2x-4y=-8

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2x-2=-2

2x=0

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HELP ASAP! QUESTION IN PHOTO

Answers

Answer:

6.4

Step-by-step explanation:

1-1.6

4X1.6=6.4

what is the best description to the relation.
A. a function that is a one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function ​

Answers

D! Hope this helps, stay safe!

what is 4855/200 simplified

Answers

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

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Answers

Answer:

160

Step-by-step explanation:

Using Exterior angle theorem

30+130=160

x=160
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Answers

Answer: DO you have a chart or something that i can actually help you with

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

2.8

Step-by-step explanation:

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