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3 years ago

Suppose you have two six-sided dice where each side is equally likely to land face up when rolled.

Mathematics

2 answers:

nikitadnepr [17]3 years ago

5 0

Answer:a. ii.

A. Is Theoretical because there is no real way of knowing what you will roll.

finlep [7]3 years ago

4 0

Answer:

a. 0.17

b. 0.08

c. theoretical

Step-by-step explanation:

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3 years ago

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3 years ago

What is the sum of 3/10 and 68/100

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3 years ago

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Find the distance from P to l.

ki77a [65]

$Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\$

$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

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3 years ago

A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?

Damm [24]

Answer:

Step-by-step explanation:

Find the predicted y value when x=1:

$\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5$

Find the residual:

$\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6$

Because our residual is positive, this is an indicator that our predicted y value is too low.

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2 years ago