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polet [3.4K]
3 years ago
8

What is the slope of a line parallel to the line whose equation is x-3y=-27 Fully reduce your answer​

Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

<h3>1/3</h3>

Step-by-step explanation:

Note that any line parallel to the given line will have the same slope as the line given.

Given the equation of the line expressed as x - 3y =-27

Rewrite in standard form y = mx+c where m is the slope

x - 3y =-27

-3y = -x -27

Multiply  through by -11

3y = x+27

Divide through by 3

y = 1/3 x + 9

Since the slope of the line is 1/3, hence the slope of a line parallel to the line is also 1/3

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

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!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Need help with this one!!!
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3 years ago
Given the preimage and image,find the dilation scale factor.​
Oliga [24]

Answer:

The dilation scale factor is \frac{1}{2}.

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) K' = \alpha_{1} \cdot K

2) T' = \alpha_{2} \cdot T

3) P' = \alpha_{3} \cdot P

4) J' = \alpha_{4} \cdot J

5) \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}

If we know that K = (2, 0), K' = (1, 0), T = (3, 0), T' = (1.5,0), P = (1, 5), P' = (0.5, 2.5), J = (0, 3) and J' = (0, 1.5), then the coefficients are, respectively:

\alpha_{1} = \frac{1}{2}, \alpha_{2} = \frac{1}{2}, \alpha_{3} = \frac{1}{2}, \alpha_{4} = \frac{1}{2}

As \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}, we conclude that the dilation scale factor applied in the preimage is equal to \frac{1}{2}.

7 0
3 years ago
Find the slope of the line.
Damm [24]

y2-y1 / x2-x1 is how to get slop3 for 2 points (x1,y1) and (x2, y2). So 4-1 / 2-0 and the slope is 3/2. If this is right could you possibly give me brainliest? Hope this helped.

8 0
3 years ago
How much is nine times eight ?​
liubo4ka [24]
8 x 9 = 72

So 72 is your answer
3 0
3 years ago
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