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ira [324]
3 years ago
15

HELP COLLEGE ALGEBRA

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

1) \frac{-8}{11}  

2) 1.276

3) \frac{3}{4}

4) 0

Step-by-step explanation:

The slope formula of the line that pass across two points P1(x1,y1) and P2(x2,y2) is:

\frac{y2 - y1}{x2-x1} = slope

You can use this formula to solve all the four points:

1)

\frac{6- -2}{-9 - 2} = \frac{-8}{11}

2)

\frac{- 9.1 - 0.6}{-9.5 - - 1.9} = \frac{97}{76} =(Rounded)= 1.276

3)

\frac{2-5}{-2 -2} = \frac{3}{4}

4)

\frac{4-4}{-9 --4} = \frac{0}{-5} = 0 \\\\

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Rewrite the equation without absolute value <br> Y=|x-2|+|x+2|-|x-5| if x&lt;-2
Oxana [17]

Answer:

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to first simplify and take the absolute value:

x+2+x+2-x+5

Now you need to simplify

x+9

So, the rewritten form of the equation is x+9

8 0
2 years ago
A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa
UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so \mu = \frac{14}{60} = 0.2333

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0
4 years ago
Which is the most accurate measurement for the line segment?
sdas [7]

Answer:

Step-by-step explanation:

So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length. The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.

3 0
3 years ago
How many 2/3 cup servings are 4 3/4 cups of milk
Levart [38]

7 1/8

You divide 4 3/4 by 2/3

4 0
3 years ago
One line passes through the points (-6,0) and (-4,6) another line passes through the points (5,-2) and (8,7)
Julli [10]

Answer:

Parallel

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

\frac{2 + 7}{ -5 + 8}  =  \frac{9}{3}  = 3

\frac{0 + 6}{6 - 4}  =  \frac{6}{2}  = 3

Both <em>rate</em><em> </em><em>of</em><em> </em><em>changes</em><em> </em>[<em>slopes</em>] result in <em>three</em>, therefore both lines are parallel.

I am joyous to assist you anytime.

6 0
3 years ago
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