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3 years ago

7

The probability density function, f(x), for any continuous random variable X, represents:

1 answer:

Aloiza [94]3 years ago

3 0

Can you please give me more details... and what library are you using, js?

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Solve the inequality for x<br> 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients
Factoring

<u>Algebra II</u>

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em /> $\displaystyle 3^{6x + 18} < 27^{3x}$ <em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?

Lelechka [254]

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

5 0

3 years ago

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)

lianna [129]

Answer:

The equation has only one solution which is:

$x = 10$

Step-by-step explanation:

Given the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

Let us solve the equation to determine the type of the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

subtract the number: -1 - 3 = -4

$3x+6=4x-4$

subtract 6 from both sides

$3x+6-6=4x-4-6$

$3x=4x-10$

subtract 4x from both sides

$3x-4x=4x-10-4x$

$-x=-10$

Divide both sides y -1

$\frac{-x}{-1}=\frac{-10}{-1}$

$x=10$

Therefore, the equation has only one solution which is:

$x = 10$

7 0

3 years ago

Round this number to two significant figures. 72.8 <br><br> 1. 72<br> 2. 73 <br> 3. 73.0 <br> 4. 74

marishachu [46]

The answer is 73 because 8 is more than 5 so it rounds up to be 73

8 0

4 years ago

The sea lion tank at the aquarium has a volume of approximately 27,488.94 cubic feet and a height of 14 feet. What is the approx

Flura [38]

Answer:

the answer is c

Step-by-step explanation:

i just finished the question

8 0

3 years ago

Read 2 more answers