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miv72 [106K]
3 years ago
9

The local high school football team, the Falcons, has a contest where seven letters F, A, L, C, O, N, and S are printed in rando

m order on tickets given to each spectator. If anybody has the word "FALCONS" printed on their ticket, they win a giant plush falcon. What is the probability that someone will win the giant falcon?
Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
Using a tree diagram you can see that the probability is 1/(7^7) or 1/823543. This is about 0.0001%
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In November 2017, the monthly profit of a company was £9,197
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Answer:

18394

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9197 × 2 = 18394 You double 91972

to work out the profit in December

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2 years ago
Write an expression showing a ÷ b without the use of the division symbol.
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Answer:

a x b

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This is a right angle shape.

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If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
sdas [7]

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = ^{4}C_{2}

= \frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}

= \frac{4\times 3}{2\times 3}=\frac{12}{2}

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Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
creativ13 [48]

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

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b = 0 = y intercept

The y intercept is the value of y when x = 0.

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Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

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3 years ago
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