Directions: Convert as indicated 27cm = in

A) 7.8 in
B) 9.8 in
c) 10.8 in
D) 11.8 in

Solved

Show answers

Ответ:

mianelson367

04.03.2021

Mathematics

Step-by-step explanation:

There are 6 girls and 7 boys in the class. 10 players can be selected in

$C^{13}_{10}=\dfrac{13!}{10!(13-10)!}=\dfrac{11\cdot 12\cdot 13}{2\cdot 3}=286$

different ways.

1. A team of 10 players with 4 boys includes 6 girls.

$C^7_4=\dfrac{7!}{4!(7-4)!}=\dfrac{5\cdot 6\cdot 7}{2\cdot 3}=35$ - possible ways to choose 4 boys.

$C^6_6=\dfrac{6!}{6!(6-6)!}=1$ - possible way to choose 6 girls.

2. A team of 10 players with 6 boys includes 4 girls.

$C^7_6=\dfrac{7!}{6!(7-6)!}=\dfrac{7}{1}=7$ - possible ways to choose 6 boys.

$C^6_4=\dfrac{6!}{4!(6-4)!}=\dfrac{5\cdot 6}{2}=15$ - possible ways to choose 4 girls.

3. The probability that a randomly chosen team includes 4 or 6 boys is

$Pr=\dfrac{35\cdot 1+7\cdot 15}{286}=\dfrac{140}{286}=\dfrac{70}{143}\approx 0.49.$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Directions: Convert as indicated 27cm = in A) 7.8 in B) 9.8 in c) 10.8 in D) 11.8 in