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strojnjashka [21]
3 years ago
14

Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

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

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
1. r - 29 = -2r + 19
Sphinxa [80]

Answer: r=16

Step-by-step explanation:

r-29=-2r+19

r=−2r+19+29

r=−2r+48

r+2r=48

3r=48

r=48/3

r=16

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

7 0
3 years ago
Solve this .....................​
ycow [4]

Answer:

Step-by-step explanation:  3root5x^2 + 25x - 10root5 = 0

3xroot5 + 25x - 10root5 = 0      [ root x^2 = x]

28x root5 = 10 root5         [ -10root5 turns to 10 root5 when transferred to RHS]

28x root 5/root5 =10

28x=10

x = 10/28

x = 0.35

Hope it helped u,

pls mark as the brainliest

^v^

5 0
3 years ago
Alan is connecting three garden hoses to make one longer hose.The green hose is 6.25 feel long the orange hose is 5.755 feet lon
nevsk [136]

We will use addition to find the length of the new, longer hose.

6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.

8 0
3 years ago
The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x < -1
kondaur [170]

9514 1404 393

Answer:

  g(x) = -√(x -2) -1

Step-by-step explanation:

We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).

The inverse function is the solution to ...

  x = f(y)

  x = (y +1)² +2

  x -2 = (y +1)²

  -√(x -2) = y +1 . . . . . . . we are interested only in the negative values

  y = -√(x -2) -1

The inverse function is ...

  g(x) = -√(x -2) -1

3 0
3 years ago
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