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diamong [38]
3 years ago
7

Grade 12 math need help with question 3

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

            mean.              median.             mode

2006.      4                        4                       4                  

2004.      6                        6                       6

2001.     5.75                     5                      none

Step-by-step explanation:

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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
1. to conduct a ____ sample, you randomly sample clusters of the population as opposed to randomly sampling individuals from sub
Nonamiya [84]
<span>to conduct a </span>Cluster I think.
3 0
3 years ago
While driving off the coast of Mexico, Jose dove below the surface 17 feet. He then swam up 6 feet. He saw a big shell, so he do
kodGreya [7K]

Answer: 15

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Chrissy is entering a bke
slavikrds [6]

Answer:

0.80 for 0.5 mile

0.80/0.5 for 1 mile

18.5 × 0.80/0.5 for 18.5 mile

Use calculator and you answer will be 29.6

Here it is!

6 0
2 years ago
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