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3 years ago

6x+3y= -9 find the slope and y-intercept

Mathematics

2 answers:

Sophie [7]3 years ago

5 0

Answer:

Slope: -2

y-intercept: -3 or (0, -3)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

6x+3y= -9

3y = -6x - 9

y = -2x - 3

ludmilkaskok [199]3 years ago

3 0

The slope is -2 and the y-intercept is (0,-3)

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Suppose that the times required for a cable company to fix cable problems in its customers’ homes are uniformly distributed betw

vampirchik [111]

Answer:

a) 60% probability that a randomly selected cable repair visit will take at least 50 minutes

b) 60% probability that a randomly selected cable repair visit will take at most 55 minutes.

c) The expected length of the repair visit is 52.5 minutes.

d) The standard deviation is 7.22 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

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.

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

For this problem, we have that:

Uniformly distributed between 40 and 65 minutes, so $a = 40, b = 65$

(a) What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

Either it takes less than 50 minutes, or it takes at least 50 minutes. The sum of the probabilities of these events is decimal 1. So

$P(X < 50) + P(X \geq 50) = 1$

The intervals can be open or closed, so

$P(X < 50) = P(X \leq 50)$

We have that

$P(X \geq 50) = 1 - P(X < 50)$

$P(X < x) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X \geq 50) = 1 - P(X < 50) = 1 - 0.4 = 0.6$

60% probability that a randomly selected cable repair visit will take at least 50 minutes

(b) What is the probability that a randomly selected cable repair visit will take at most 55 minutes?

This is $P(X \leq 55)$

$P(X \leq 55) = \frac{55 - 40}{65 - 40} = 0.6$

60% probability that a randomly selected cable repair visit will take at most 55 minutes.

(c) What is the expected length of the repair visit?

The mean of the uniform distribution is:

$M = \frac{a+b}{2}$

$M = \frac{40+65}{2} = 52.5$

The expected length of the repair visit is 52.5 minutes.

(d) What is the standard deviation?

The standard deviation of the uniform distribution is

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}}$

$S = 7.22$

The standard deviation is 7.22 minutes.

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3 years ago

Determine the measures of the unknown labeled angles in the diagrams below:

Elan Coil [88]

180 - 34 - (180 - 115). 180°, and the sum of all interior angles in a triangle is 180°.

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3 years ago

How do I solve the quadratic equation by factoring? 2x^2+x=6

aliina [53]

Move the 6 to the other side:
2x^2 +x+6,
(x-3) (x+4)
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4 years ago

Please help with the attachment below! ^-^

r-ruslan [8.4K]

6=2 180-65= 115 degrees

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3 years ago

I need help solving it

HACTEHA [7]

Answer: OPTION 3. -7

Step-by-step explanation:

Given

-52=-4x-5(-2x+2)

Distributive property (REMEMBER you need to change signs)

-52=-4x-5×(-2x)-5×2

-52=-4x+10x-10

Combine like terms (-4x and 10x)

-52=6x-10

Add 10 on both sides

-52+10=6x-10+10

-42=6x

Divide 6 on both sides

-42/6=6/6x

x=-7

Hope this helps!! :)

Please let me know if you have any question

8 0

3 years ago

Read 2 more answers