Hola necesito eso urgente porfavor lo tengo que entregar en 2 horas

What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

-----------------

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.

So the following is point-slope form for a linear equaiton:

$y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }$

Plug in a point $(x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}$ .

This gives:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$

I'm going to distribute:

$y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}$

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

$6y-9=-26x+13$

Add 26x on both sides:

$26x+6y-9=13$

Add 9 on both sides:

$26x+6y=22$ This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

$13x+3y=11$ (standard form)

7 0

3 years ago

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HELP PLZ A bag contains 8 red marbles, 5 blue marbles, 4 green marbles,

mestny [16]

Answer:

is it multiple choice?

8 0

3 years ago

Graph the exponential function. <br> Y=5(2)^x

Nadusha1986 [10]

Y=5(2^x)
It Would be the first graph of the choices.
Hope this helps!

6 0

3 years ago

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About 1111% of the population of a large country is math phobicmath phobic. If two people are randomly selected, what is the p

yKpoI14uk [10]

Answer:

a) $P(X=2) = (2C2) (0.11)^2 (1-0.11)^{2-2}= 0.0121$

b) $P(X=0) = (2C0) (0.11)^0 (1-0.11)^{2-0}= 0.7921$

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Part a

Let X the random variable "number of people math phobicmath phobic" , on this case we now that the distribution of the random variable is:

$X \sim Binom(n=2, p=0.11)$