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Murrr4er [49]
2 years ago
7

Solve: the quantity 2x minus 20 divided by 3 = 2x x = −5 x = −2 x = 2 x = 13

Mathematics
2 answers:
Vinil7 [7]2 years ago
7 0

Answer:

x= -5

Step-by-step explanation:

Nostrana [21]2 years ago
4 0

Answer:

x = -5

Step-by-step explanation:

(2x-20) / 3 =2x

2x - 20 =6x

4x = -20

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6x + 26x - 10 = 8(4x + 10)<br><br> how many solutions?
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Find an equation for the line below. Thanks !
daser333 [38]

Answer:

\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by \frac{\Delta y}{\Delta x} (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is 4 - 2 = 2, and the change in x is 3 - (-5) = 3+5= 8. Therefore, our slope is \frac{2}{8} = \frac{1}{4}.

Now that we know our slope, our equation in slope-intercept form looks something like this.

y = \frac{1}{4}x + b

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

  • 4 = \frac{1}{4} \cdot 3+b
  • 4 = \frac{3}{4} + b
  • b = \frac{16}{4}- \frac{3}{4}
  • b = \frac{13}{4}

So now we know that the y-intercept is \frac{13}{4}. Plugging that into our equation finishes it off, leaving our final equation to be y = \frac{1}{4}x + \frac{13}{4}.

Hope this helped!

4 0
2 years ago
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Suppose you decided to keep flipping a coin until tails came up, at which
MAVERICK [17]

Answer:

B. 6.3%

Step-by-step explanation:

For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Fair coin:

Equally as likely to come up heads or tails, so p = 0.5

Probability that the first tails comes up on the 4th flip of the coin?

0 tails during the first three, which is P(X = 0) when n = 3.

Tails in the fourth, with probability 0.5. So

p = 0.5P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625

0.0625 * 100 = 6.25%

Rounding to the nearest tenth of a percent, the correct answer is:

B. 6.3%

4 0
2 years ago
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