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3 years ago

What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

Mathematics

2 answers:

sertanlavr [38]3 years ago

6 0

<span>What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

check the picture below.

the y-axis is a vertical line, thus any line parallel to it, will also be a vertical line, so, let's pick another point, hmmmmm say -1, 3, thus

</span> $\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -1 &,& 5~) 
% (c,d)
&&(~ -1 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-5}{-1-(-1)}\implies \cfrac{3-5}{-1+1}\implies \stackrel{und efined}{\cfrac{-2}{0}}$ <span>
</span>

Nitella [24]3 years ago

4 0

Undefined because the slop of the y axis is undefined

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aleksklad [387]

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2 years ago

3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are

natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

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

$P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159$

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

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

$P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390$

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549$

More can be learned about the binomial distribution at brainly.com/question/24863377

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