it takes 3 buckets of water to fill 1/3 of a fish tank. how many buckets are needed to fill yhe whole tank

Nataly [62]

it can be used to calculate the length of a circular bracelet

4 0

3 years ago

b) How many ways can you deal cards (from a deck of 52) to 4 people when each player gets 7 cards. 2 hidden and 5 visible. Assum

Mariana [72]

Answer:

${52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4$

Step-by-step explanation:

The dealing of the cards can be seen in the following way:

We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in ${52 \choose 7}$ ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in ${7 \choose 2}$ ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in ${45 \choose 7}$ . Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in ${7 \choose 2}$ ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in ${38 \choose 7}$ . And again, we have to choose which ones are the hidden ones, which can be chosen in ${7 \choose 2}$ ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in ${31 \choose 7}$ ways. And choosing which ones are the hidden ones for this player can be done in ${7 \choose 2}$ ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).

${52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4$

7 0

3 years ago

Kendall is making greeting cards, which she will sell by the box at an arts fair. She paid $40

natta225 [31]

Answer:

9

Step-by-step explanation:

40 dollars due up front

10 dollars made per sale

5 dollars lost per creation

Realistically speaking she is only making a $5 profit per box she sells;

$5 used up for material cost, $10 made from sales -5+10= 5

To pay the $40 dollar for the booth she would need to make 9 sales with her current profit

40/5 = 9

5 0

2 years ago

Is ABC~LMN?If so, name which similarity postulate or theorem applies.

Hitman42 [59]

The answer is variant A.
Because:
if the two angles of a triangle are congruent to two angles of the other triangle , this triangles are similar

7 0

3 years ago

Read 2 more answers

A scientist had 3/4 of a bottle of a solution. She used 1/6 of the solution in a experiment. How much of the bottle didi she use

Rashid [163]

Answer:

1/8

Step-by-step explanation:

1/6 × 3/4

Multiply across top, then bottom

1×3=3

6×4=24

Then reduce if necessary.

3/24

Divide top and bottom by 3

3÷3=1

24÷3=8

You should get 1/8

5 0

3 years ago