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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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Answer:

C) 2400

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

Computers = 10

Printers = 3

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Possible outcome = 10 x 3 x 5 x 8 x 2 = 2400

5 0
3 years ago
What is (99/100)^101 times (100/99)^100?
sineoko [7]

Answer:

99/100

Step-by-step explanation:

First of all recall that

a^n\cdot b^n =(ab)^n

Now we we will try to apply that formula for a=99/100 and b=100/99.

First rewrite (99/100)^{101}=(99/100)\times (99/100)^{100}

Now

(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100

7 0
3 years ago
Will give brainliest if correct.
Nataly [62]

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The answer would be, 81cm.

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Mr. Nolan has a bank account that compounds interest
german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

4 0
3 years ago
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 18-inch pieces can t
TiliK225 [7]

Answer: 20 pieces, 72 inches of ribbon

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