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3 years ago

Find the slope of a line that passes through the points: (−4, 7), (−6, −4)

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

3 0

Answer:

= 11/2

Step-by-step explanation:

When we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

= ( -4 -7)/(-6 - -4)

= ( -4 -7)/(-6 +4)

= -11/-2

= 11/2

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If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

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Multiply both sides by 6

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4 years ago

Suppose the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes. W

butalik [34]

Answer:

C) Uniform distribution

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.

We can calculate the probability.

Uniform probability distribution

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$