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3 years ago

Point A is at (-5, -4) and point M is at (0, -3.5).

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

7 0

Answer:

The coordinates of point B are (5,-3)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

In this problem

Point A is at (-5, -4) and point M is at (0, -3.5)

$point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)$

substitute in the formula

$(0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})$

Solve for x_2

$0=\frac{-5+x2}{2}\\x_2=5$

Solve for y_2

$-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3$

therefore

The coordinates of point B are (5,-3)

Naya [18.7K]3 years ago

4 0

Answer:

Solve for y_2

therefore

The coordinates of point B are (5,-3)

Step-by-step explanation:

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A fruit company has 20% returns in periods of normal rainfall and -3% returns in droughts. The probability of normal rainfall is

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Answer:

$E(x) = 10.8\% \\\\$

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The expected returns of the fruit company is given by

$E(x) =\sum (x \cdot P(x)) \\\\$

For the given case,

Returns in normal rainfall = x₁ = 20% = 0.20

Returns in drought = x₂ = -3% = -0.03

Probability of normal rainfall = P(x₁) = 60% = 0.60

Probability of drought = P(x₂) = 40% = 0.40

So, the expected value of returns is

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Therefore, the fruit company’s expected returns are 10.8%

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