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Sedaia [141]
3 years ago
15

25 points, choices in photo

Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

Answer:

It is either A or C

Step-by-step explanation:

I think it's a

timama [110]3 years ago
6 0

I would go with C as a first step

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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
The number of customers for a new online business can be modeled by y = 8x2 + 100x + 250, where x represents the number of month
kenny6666 [7]
The best prediction for the number of customers is 5450.

To find this value, you just need to plug in 20 for x into the expression. Then, evaluate it using the order of operations.

8(20)^2 + 100(20) + 250
8(400) + 100(20) + 250
3200 + 2000 + 250
5450
3 0
3 years ago
on a recent test matthew got 18 out of 40 problems correct at the same rate how many problems would matthew get correct if there
Flauer [41]

Answer:

27

Step-by-step explanation:

18/40 = 27/60

8 0
3 years ago
The owner of a skate shop notices that every time a certain employee has a shift, there are higher sales numbers at the end of t
Serjik [45]

Answer:

Correlation.

Step-by-step explanation:

When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.

6 0
3 years ago
Give an example from your classroom of three collinear points
vagabundo [1.1K]
Chess board? , the board if there is like a line with points that has points on the same line. 
4 0
3 years ago
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