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1 year ago

Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

Mathematics

1 answer:

Vaselesa [24]1 year ago

3 0

The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have linear equation in one variable:

4(x + 5) = 9x + 4x − 34

4x + 20 = 9x + 4x − 34 (Distributive Property)

4x + 20 -4x + 34= 9x + 4x − 34 -4x +34

(Subtraction Property of Equality and Addition Property of Equality)

54 = 9x

x = 6 (Division Property of Equality)

Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

Step-by-step explanation:

Given that;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;

x F(x)

0 P(X = 0) = 0.17

1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

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2 years ago