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3 years ago

An 8-person committee is to be formed from a group of 15 women and 12 men.

Mathematics

1 answer:

mariarad [96]3 years ago

6 0

Answer:

1860 WAYS

Step-by-step explanation:

Combination is the technique used to compute the selection of items based on given criteria.

ⁿₐC = n!/(n - a)! a!

The number of ways an 8-person committee of 4 men and 4 women is to be formed from a group of 15 women and 12 men

= 15 ₄C + 12₄C

= 15!/(15 - 4)!4! + 12!/(12 - 4)!4!

= 1365 + 495

= 1860 WAYS

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Find the geometric sum: 40 + 20 + 10 + … + 0.078125

sveticcg [70]

$S=40+20+10+\cdots+0.078125$
$S=40\left(1+\dfrac12+\dfrac14+\cdots+\dfrac1{512}\right)$
$S=40\left(1+2^{-1}+2^{-2}+\cdots+2^{-9}\right)$

$2^{-1}S=40\left(2^{-1}+2^{-2}+2^{-3}+\cdots+2^{-10}\right)$

$\implies S-2^{-1}S=40\left(1-2^{-10}\right)$
$\implies\dfrac12S=40\left(1-\dfrac1{1024}\right)$
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3 years ago

Order each set of numbers from least to greatest 0.99 0.89 7/8

kifflom [539]

7/8 = 0.875
1. 7/8
2. 0.89
3. 0.99

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3 years ago

1. What is the sum of 1/9, 2/3, and 5/18? O A. 30 O B. 12/9 O C. 19/18 O D. 4/15

Serhud [2]

Answer:

C. 19/18

Step-by-step explanation:

$\frac{1}{9} + \frac{2}{3} + \frac{5}{18 } = \frac{2}{18} + \frac{12}{18} + \frac{5}{18} = \frac{19}{18}$

So the answer is C. 19/18

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2 years ago

Now see if you can solve these word problems about time and distance.

ladessa [460]

Answer:

3.5 hours

Step-by-step explanation:

Ediburgh -------------------------------350 miles-------------------------London

Let the distance traveled by train from Edin to London be "x"

hence the distance traveled by train from London to Edin would be "350-x"

The rate of Edin to London train is 60
The rate of London to Edin train is 40

Let the time they meet be"t"

Now, we know distance formula to be D = RT

Where

D is distance

R is rate

and

T is time

Train from Edin to London:

x = 60t

Train from London to Edin:

350-x = 40t

Solving for x:

350 - 40t = x

We put this into first equation:

x = 60t

350 - 40t = 60t

350 = 100t

t = 350/100

t = 3.5

They meet after 3.5 hours

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3 years ago

Consider the following number line:

Tatiana [17]

Point A - 1
Point B - 5/6
Point C - 1/3

MARK ME BRAINLIEST TYSM!
Have a nice day <333

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3 years ago