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inna [77]
3 years ago
5

Find an equation for the line with the given properties. Express the equation in slope-intercept form.

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

y = 3x - 19

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope <em>m</em> = 3

Random point (5, -4)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find <em>b</em>

-4 = 3(5) + b

-4 = 15 + b

b = -19

Step 4: Write linear equation

y = 3x - 19

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Novay_Z [31]

Answer:

<em>x=3</em>

Step-by-step explanation:

<u>Angles and Lines</u>

We must recall:

  • The sum of the internal angles of a triangle is 180°
  • Two linear angles add up to 180°

The image shows a triangle and the extension of its base to form two linear angles.

Note from the triangle, angle R is what it takes to get to 180°:

m\angle R=180-25x-(57+x)

From the line SQ, angle R what it takes to get to 180°. Thus:

m\angle R=180-45x

Equating:

180-25x-(57+x)=180-45x

Subtracting 180 and simplifying:

-25x-57-x=-45x

19x=57

Dividing by 19:

x=3

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2 years ago
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Answer:

B?

Step-by-step explanation:

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Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Umnica [9.8K]

Answer:

a. X is a binomial random variable with n = 50 and p = 0.04

b. Y is a binomial random variable with n = 40 and p = 0.015

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

X: the number of US residents (out of 50) with blood type AB.

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States

This means that p = 0.04, n = 50

Y: the number of Australians (out of 40) with blood type AB.

In Australia, only 1.5% of the population has blood type AB.

This means that p = 0.015, n = 40

Z: the total number of individuals (out of 90) with blood type AB.

Here

n = 90, p = 0.04*\frac{50}{90} + 0.015*\frac{40}{90} = 0.0289

Which of the following is true about the random variables X, Y, and Z?

Options a and b are true, while c is false.

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