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nikklg [1K]
3 years ago
9

Find the slope of the equation: y = 2x + 5

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Answer:

The slope is 2

Step-by-step explanation:

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Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0
3 years ago
8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the
marissa [1.9K]

Answer:

\sf y = \bold -\frac{2}{5} x -3

Explanation:

part A identification for slope:

\sf 2x + 5y = 15

\sf 5y = -2x + 15

\sf y = \frac{-2x + 15}{5}

\sf y = -\frac{2 }{5} x+3

comparing with slope intercept form: y = mx + b

we can find that here the slope is \bold -\frac{2}{5}

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

\sf y - 1 = \bold -\frac{2}{5} (x --10)

\sf y = \bold -\frac{2}{5} x -4 + 1

\sf y = \bold -\frac{2}{5} x -3

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

3 0
2 years ago
Read 2 more answers
Help me please and thank you.
dezoksy [38]

Answer:

0.67x-2=0.43

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

7 0
3 years ago
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musickatia [10]

Answer:

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Step-by-step explanation:

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3 years ago
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neonofarm [45]

It's a 45-45-90 triangle,

where the legs are congruent, and the hypotenuse is sqrt(2) times the length of a leg.

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3 years ago
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