EXPLAIN IT WORD FOR WORD ON HOW TO SOLVE IT

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

To start, first add up the total number of reservations made this week which would be adding up the total amount of reservations for each day:
15+5+10+25+40+30+35= 160
Then, since it is asking for the percent of Friday and Saturday, add the amounts together (40+30) which is 70.
Then, set these as a fraction where it is the reservations for Friday and Saturday over the total amount of reservations: 70/160
Now that you got that, do 70 divided by 160 which is 0.4375.
Finally, convert 0.4375 to a percent by moving the decimal right two and you get 43.75% as your answer.

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9. A band director wants to form a committee of 4 parents from a list of 45 band parents.

Alex73 [517]

Answer:

Part (A): The number of ways to select 12 jurors are 86493225.

Part (B): The number of ways to select 2 alternates are 306.

Part (C): Part (a) is an example of combination and Part (a) is an example of permutation

Step-by-step explanation:

Consider the provided information.

A band director wants to form a committee of 4 parents from a list of 45 band parents.

Part (A): How many different groups of 4 parents can the band director select?

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}C_{4}=\frac{45!}{4!(45-4)!}$

$^{45}C_{4}=\frac{45!}{4!41!}$

$^{45}C_{4}=148995$

Hence, the number of ways are 148995.

Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?

Since the order matter so we will use permutation:

The formula for permutation is: $^{n}P_{r}=\frac{n!}{(n-r)!}$