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3 years ago

ASAP! find the slope of a line that is perpendicular to y=-1/2x+4

Mathematics

2 answers:

Delvig [45]3 years ago

5 0

<h3>General Formulas and Concepts:</h3>

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b- y-intercept

Perpendicular lines have a negative

reciprocal slope.

<h3>Explanation:</h3>

$\pink:\implies$ Define

y= -1/2x +4

$\:$

$\pink:\implies$ ldentify

Slope m = -1/2

$\:$

$\pink:\implies$ Solve

Reciprocate and multiply by negative

$\dashrightarrow$ m = 2

aleksley [76]3 years ago

4 0

Answer:

m = 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Perpendicular lines have a negative reciprocal slope.

Step-by-step explanation:

Step 1: Define

y = -1/2x + 4

Step 2: Identify

Slope m = -1/2

Step 3: Solve

Reciprocate and multiply by negative

m = 2

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3 years ago

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two

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Answer:

E (X) = 1.8

Var (X) = 0.36

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Step-by-step explanation:

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- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

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X = 2 red marble:

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X = 3 red marble:

P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

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X : 1 2 3

P (X): 0.3 0.6 0.1

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- The standard deviation for the given random variable X is:

σ = √Var(X)

σ = √0.36

σ = 0.6

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