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lorasvet [3.4K]
2 years ago
13

1. A soccer team is to be selected from a group of 24 players. Of them, one-third is below 16 years of age, one-fourth is in the

age group 16 to 18 years and the remaining are above 18 years.
(a) What fraction of players is above 18 years of age?
(b) If all players of age above 18 are selected, how many players are above 18 years of age? ​
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
4 0

Answer:

(a).5/12

(b).10 players

Step-by-step explanation:

a.

⅓+¼=7/12

Remaining=5/12

b.5/12of 24 =10 players

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gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

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3 years ago
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Step-by-step explanation:

4 0
3 years ago
How many times does 20 go into 168?
ch4aika [34]
The answer:

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3 years ago
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Answer:

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Step-by-step explanation:

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So our confidence interval is (52,2%, 55,8%) and the answer is A.

6 0
3 years ago
Check my Work: Factoring for 2y^+9y-18 is (2y-3) (y+6) true or false?
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It is true because when you separate 2y^2 +9y -18, you are supposed to get the factors (2y-3)(y+6), when you multiply this it gives you the first equation, we know this because when we multiply the first term it gives us exactly 2y^2 and if we multiply the last ones it gives you -18, now here is the tricky part, when we multiply the middle part we get 12y and -3y, when we add these up we get 9y, now is that the same middle as in the equation? Yes… then our factors are correct making this true


Hope this helps

7 0
3 years ago
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