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never [62]
3 years ago
10

The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y.

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0
To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:

Recall that the equation of a staight line is obtained from the formula
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Using the points (30, 18) and (36, 24), we have
\frac{y-18}{x-30} = \frac{24-18}{36-30}= \frac{6}{6} =1 \\  \\ \Rightarrow y-18=x-30 \\  \\ \Rightarrow y=x-30+18 \\  \\ \Rightarrow y=x-12
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In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets
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Answer:

Probability = \frac{243}{1024}

Step-by-step explanation:

Given

Sum = \{7, 11, 12\}

Rolls = 5

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

Outcomes = 36

Sum\ of\ 7 = 6

Sum\ of\ 11 = 2

Sum\ of\ 12 = 1

So, in a single roll; The probability of getting audited is:

p= \frac{1 + 2 + 6}{36}

p= \frac{9}{36}

p= \frac{1}{4}

The probability of not getting audited in a single roll is:

q = 1 - p --- Complement rule

q = 1 - \frac{1}{4}

Take LCM

q = \frac{4 - 1}{4}

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The probability of not getting audited in 5 rolls is:

Probability = q^5

Probability = (\frac{3}{4})^5

Probability = \frac{3^5}{4^5}

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3 years ago
If four friends can eat four cakes in four days, then how many cakes can 10 friends eat in 10 days?
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