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wlad13 [49]
2 years ago
11

Help me answer this please!!

Mathematics
2 answers:
Masja [62]2 years ago
5 0

Answer:

Step-by-step explanation:

Alyssa will correctly label the numbers 48.8 48 48.09 and 48 on the number line below Which number will be located closest to 48

yarga [219]2 years ago
3 0

Answer:

the answer is (6*10^6)

Step-by-step explanation:

Multiply the beginning numbers and add the exponents.

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A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp
abruzzese [7]

Step-by-step explanation:

<em>"A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp."</em>

<em />

<em>"(a) During a morning activity of the camp, these 12 players have to randomly group into six pairs of two players each."</em>

<em>"(i) Find the total number of possible ways that these six pairs can be formed."</em>

The order doesn't matter (AB is the same as BA), so use combinations.

For the first pair, there are ₁₂C₂ ways to choose 2 people from 12.

For the second pair, there are ₁₀C₂ ways to choose 2 people from 10.

So on and so forth.  The total number of combinations is:

₁₂C₂ × ₁₀C₂ × ₈C₂ × ₆C₂ × ₄C₂ × ₂C₂

= 66 × 45 × 28 × 15 × 6 × 1

= 7,484,400

<em>"(ii) Find the probability that each pair contains players of the same gender only. Correct your final answer to 4 decimal places."</em>

We need to find the number of ways that 6 boys can be grouped into 3 pairs.  Using the same logic as before:

₆C₂ × ₄C₂ × ₂C₂

= 15 × 6 × 1

= 90

There are 90 ways that 6 boys can be grouped into 3 pairs, which means there's also 90 ways that 6 girls can be grouped into 3 pairs.  So the probability is:

90 × 90 / 7,484,400

= 1 / 924

≈ 0.0011

<em>"(b) During an afternoon activity of the camp, 6 players are randomly selected and 6 one-on-one matches with the coach are to be scheduled.</em>

<em>(i) How many different schedules are possible?"</em>

There are ₁₂C₆ ways that 6 players can be selected from 12.  From there, each possible schedule has a different order of players, so we need to use permutations.

There are 6 options for the first match.  After that, there are 5 options for the second match.  Then 4 options for the third match.  So on and so forth.  So the number of permutations is 6!.

The total number of possible schedules is:

₁₂C₆ × 6!

= 924 × 720

= 665,280

<em>"(ii) Find the probability that the number of selected male players is higher than that of female players given that at most 4 females were selected. Correct your final answer to 4 decimal places."</em>

If at most 4 girls are selected, that means there's either 0, 1, 2, 3, or 4 girls.

If 0 girls are selected, the number of combinations is:

₆C₆ × ₆C₀ = 1 × 1 = 1

If 1 girl is selected, the number of combinations is:

₆C₅ × ₆C₁ = 6 × 6 = 36

If 2 girls are selected, the number of combinations is:

₆C₄ × ₆C₂ = 15 × 15 = 225

If 3 girls are selected, the number of combinations is:

₆C₃ × ₆C₃ = 20 × 20 = 400

If 4 girls are selected, the number of combinations is:

₆C₂ × ₆C₄ = 15 × 15 = 225

The probability that there are more boys than girls is:

(1 + 36 + 225) / (1 + 36 + 225 + 400 + 225)

= 262 / 887

≈ 0.2954

7 0
2 years ago
If you were lost and were alone without any measuring devise, how would you determine what time of the day it would be?
ArbitrLikvidat [17]

Answer:

you would look where the sun is to help tell the time

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me im doing a math test and i don’t wanna fail :(
cricket20 [7]

Answer:

The scale factor of dilation is 2.25

Step-by-step explanation:

I just measured the base of Figure A. The base is 4 square units. The base of Figure B is 9 units. 4 x 2.25 = 9.

400 answers yay

6 0
3 years ago
Which expression is equivalent to the expression below? Select all that apply.
katen-ka-za [31]

Answer:

2 and 3

Step-by-step explanation:

To simplify this expression, you will need to use the distributive property.

Multiply -2/5 by 15 = <u>- 6</u>, -2/5 by -20d = <u>8d</u>, and -2/5 by 5c = <u>-2c</u>.

you can switch these around to get -6 + 8d - 2c and -2c + 8d - 6.

Hope this helps :)

3 0
2 years ago
The mean age of a student book club is 14.2 years. A 27-year-old teacher is invited to join the club. How does the teacher’s age
MAXImum [283]
The new mean age will be greater than 14.2 years because the teacher is older than the previous mean.
3 0
3 years ago
Read 2 more answers
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