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3 years ago

Im kinda confused and i have to finish this sooo please help..

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

5 0

From the line, we can pretty much pick any two points to get its slope.

now, let's pick from those already grayed out there hmmm say (-8, 6) and (-2, 0),

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -8 &,& 6~) 
% (c,d)
&&(~ -2 &,& 0~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-6}{-2-(8)}\implies \cfrac{0-6}{-2+8}\\\\\\ \cfrac{-6}{6}\implies -1$

Serjik [45]3 years ago

4 0

-1 is the slope of the line.

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Answer:

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f(X) | 0.4 0.2 0.2 0.2

b) $P(4$

Step-by-step explanation:

For this case we have defined the cumulative distribution function like this:

$F(X) = 0, x$

$F(X) = 0.4, 1 \leq x$

$F(X) = 0.6, 3 \leq x$

$F(X) = 0.8, 5 \leq x$

$F(X) = 1, x \geq 7$

And we know that the general definition for the distribution function is given by:

$F(x) = P(X \leq x) = \sum_{i\leq k} f(i)$

Where f represent the density function.

Part a

For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.

$f(1) = P(X=1) = P(X \leq 1) - P(X=0) = F(1) -F(0) = 0.4-0=0.4$

$f(2) = P(X=2) = P(X \leq 2) - P(X=0)- P(X=1) = F(2) -F(1) = 0.4-0.4=0$

$f(3) = P(X=3) = P(X \leq 3) - P(X=0)- P(X=1) -P(X=2) = F(3) -F(2) = 0.6-0.4=0.2$

$f(4) = P(X=4) = P(X \leq 4) - P(X=0)- P(X=1) -P(X=2)-P(X=3) = F(4) -F(3) = 0.6-0.6=0$

$f(5) = P(X=5) = P(X \leq 5) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4) = F(5) -F(4) = 0.8-0.6=0.2$

$f(6) = P(X=6) = P(X \leq 6) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5) = F(6) -F(5) = 0.8-0.8=0$

$f(7) = P(X=7) = P(X \leq 7) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5)-P(X=6) = F(7) -F(6) = 1-0.8=0.2$

And for any value higher than 7 we have that:

$x_i \in [8,9,10,...]$

$f(x_i) = F(X_i) -F(X_i -1) = 1-1=0$

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For this case we want to find this probability $P(4$

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$P(4$

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3 years ago

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Answer:

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Step-by-step explanation:

Given:

Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.

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As, 2 is an even number.

Let an even integer be $2x.$

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Now, the sum of the first and third ones are:

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Now, 3 times the second is 12 less than twice the sum of the other two:

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Getting the variables on one side and the number on other:

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Dividing both sides by 2 we get:

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$x=5.$

Now, the even numbers we get are:

$2x=2\times 5=10\\2x+2=2\times 5+2=10+2=12\\2x+4=2\times 5+4=10+4=14.$

Thus, the third number is the largest number which is 14.

Therefore, the largest even integer is 14.

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2 years ago