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dezoksy [38]
3 years ago
6

(-9,17); slope= -4/3

Mathematics
1 answer:
choli [55]3 years ago
6 0
I am assuming it wants it “y=mx+b” form, you would start with the formula “y-y1=m(x-x1)”
You get: y-17=-4/3(x-(-9))
Simplify: y-17=-4/3(x+9)
Distribute: y-17=-4x/3-(36/3)
Simplify Fraction: y-17=-4x/3-12
Add “17”: y=-4x/3 +5
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In a distribution, a score of X=60 has a z-score of -3.0.. A score of X=85 has a z-score of 2.0. What are the mean and standard
never [62]
The formula for a z-score is
z=\frac{X- \mu}{\sigma}
We don't have μ, the mean, or σ, the standard deviation.  We can, however, set up a system of two equations with the information we do have.  We know:
-3=\frac{60- \mu}{\sigma} \text{ and } 2=\frac{85- \mu}{\sigma}
We can make this look more like a "typical" system of equations by cancelling the fractional part of each equation.  We do this by multiplying the bottom of each equation by σ:
-3*\sigma=\frac{60- \mu}{\sigma}*\sigma \text{ and } 2*\sigma=\frac{85- \mu}{\sigma}*\sigma
\\
\\-3\sigma=60- \mu \text{ and } 2\sigma=85- \mu
Now we'll get the variables on the same side of the equation.  We'll do this by adding μ to both sides:
-3\sigma + \mu=60- \mu + \mu \text{ and } 2\sigma+ \mu =85- \mu + \mu
\\
\\-3\sigma+\mu=60 \text{ and } 2\sigma+\mu=85
Now we'll write this vertically:
\left \{ {{-3\sigma+\mu=60} \atop {2\sigma+\mu=85}} \right.
We will "eliminate" μ by subtracting the bottom equation:
\left \{ {{-3\sigma+\mu=60} \atop {-(2\sigma+\mu=85)}} \right. 
\\
\\-5\sigma=-25
Divide both sides by -5:
\frac{-5\sigma}{-5}=\frac{-25}{-5}
\\
\\\sigma=5
Our standard deviation is 5.  Substituting this into our top equation we have:
-3(5)+μ=60
-15+μ=60
Cancel the -15 by adding it to both sides:
-15+μ+15=60+15
μ=75
Our mean is 75.
6 0
4 years ago
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the
VARVARA [1.3K]

Answer:

What is the question?...

7 0
4 years ago
Can anyone pls helppppp
dalvyx [7]
Hourly rate:
39(1.3r) = 541.80
(hours times hourly rate equals profit)

then solve
1.3r = 13.89
r = 10.69

the hourly rate is $10.69


to answer the bottom question, 390 + 117 = 507, but that’s not close to 541.80 so I have no idea what they’re asking there
4 0
3 years ago
What are the solutions of the following equation? 5∣x+6∣+8=−6∣x+6∣+8
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So think of |x+6| as a single object.  Move the -6|x+6| to the left side and move the 8 to the right side to get 11|x+6| = 0.  Then divide both sides by 11 to get |x+6| = 0 and in this instance the || can be dropped because +0 and -0 are the same.  so x + 6 = 0 or x=-6
3 0
4 years ago
Please help 20 points! Identify the graph in vertex form....
nika2105 [10]

Answer:

it's a   /  

Step-by-step explanation:

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