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Fynjy0 [20]
3 years ago
12

Which is the equation of the line with slope 0 passing through the point (-3,-1)?

Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0

Answer:

y= -1

Step-by-step explanation:

When we have a line with slope of 0, it means that the y value does not change, so our equation must be in the form y= something

The point has a y value of -1,

so  our equation is

y= -1

madreJ [45]3 years ago
3 0

When a line has a slope of zero it means that it is horizontal. This means that all the x values have the same y values. In this case it means that the y value is always -1.

The equation for this line is...

y = -1

Hope this helped!

~Just a girl in love with Shawn Mendes

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A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?

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P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors

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Answer:

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Answer:

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c) 0.018

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Step-by-step explanation:

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       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

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d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

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               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

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