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Nuetrik [128]
3 years ago
14

(a) A mixed hockey team of 11 must have at least 5 boys and at least 5 girls. There are 7 boys and 8 girls available for selecti

on. How many different teams can be selected? (b) One of the girls, Caitlin, is selected as captain of the team and must play every game. One of the boys, Stephen, is injured and can no longer play. How many teams can be selected now? Pls answer asap
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

A) I) 49 teams

II)63 teams

B) 28 teams

Step-by-step explanation:

A) a team of 5 boys and 6 Girls

=7C5+ 8C6

= 21+28

= 49 teams

a team of 6 boys and 5 girls

= 7C6 + 8C5

= 7+56

= 63 teams

B) one girl is kept constant already and a guy has injury

Girls remaining to choose from 7

Boys remaining to choose from 6

= 1 +7C5 + 6C5

= 1+21+6

= 28 teams

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(-11x^2 +6) - (14x^2 +2)
Nataly [62]

Answer:

−1(5−2)(5+2)

Step-by-step explanation:

Eliminate redundant parentheses

(−11²+6)−1(14² +2)

Distribute

−11² + 6 -- 1(14² +2)

−11² + 6 - 14² − 2

8 0
2 years ago
Find f(2) for f(x)=3x2+9x−6
Naya [18.7K]

Answer:

a. f(2)=24  

Step-by-step explanation:

Given function:

f(x)=3x^2+9x-6

To find f(2)

Solution:

In order to find f(2),we need to plugin input=2 i.e. the value of x=2 in the function and find the output by evaluating.

Plugging in x=2 in the given function.

f(2)=3(2)^2+9(2)-6

Evaluating.

f(2)=3(4)+18-6

f(2)=12+18-6

∴ f(2)=24   (Answer)

3 0
3 years ago
Allison bought jelly beans to share with her friends. She bought pounds of blueberry jelly beans and pounds of lemon jelly beans
Vaselesa [24]

Answer: 1\dfrac{11}{12}\text{ pounds}

Step-by-step explanation:

The complete question is provided in the attachment.

Given, Amount blueberry jelly beans= 1\dfrac{1}{4} pounds

=\dfrac{5}{4} pounds.

Amount lemon jelly beans = 2\dfrac{1}{3}pounds

=\dfrac{7}{2} pounds

Total jelly beans she bought = Amount blueberry jelly beans + Amount lemon jelly beans

=(\dfrac{5}{4}+\dfrac{7}{3}) pounds

=\frac{15+28}{12}\text{ pounds}\\\\=\dfrac{43}{12}\text{ pounds}

Amount of jelly beans she gave away = 1\dfrac{2}{3}=\dfrac{5}{3}\text{ pounds}

Amount of jelly beans she has left= Total jelly beans - Amount of jelly beans she gave away

=\dfrac{43}{12}-\dfrac{5}{3}\\\\=\dfrac{43-20}{12}\\\\=\dfrac{23}{12}\\\\=1\dfrac{11}{12}\text{ pounds}

She has left 1\dfrac{11}{12}\text{ pounds} of jelly beans.

6 0
3 years ago
suppose a normal distribution has a mean of 20 and a standard deviation of 4 a value of 26 is how many standard deviations away
marysya [2.9K]
Logically you can see that since 26 is half way between 24&28 it is 1/2 sd. See sketch

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3 years ago
William went shopping for a new phone because of a sale. The store was offering a 15% discount. If the price on the tag was $41,
Damm [24]

Answer: $34.85

Step-by-step explanation: $41 x 15%= 34.85 before tax

4 0
3 years ago
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