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DanielleElmas [232]
3 years ago
7

What is a rational number

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.

Step-by-step explanation:

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Solve the literal equation for x: g= 4x+5xy
Andreas93 [3]

The literal equation for x is \frac{g}{4+5y} given that g= 4x+5xy

The subject of a formula is a way of representing a variable in terms of other variables.

Given the equation

g= 4x+5xy

Factor out the common variable x

g= x(4+5y)

Divide both sides by 4+5y

\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}

This shows that the literal equation for x is \frac{g}{4+5y}

Learn more here: brainly.com/question/21140562

3 0
3 years ago
The manager of a music store has kept records of
Marysya12 [62]

Answer:

(a) P(x\le 3) = 0.75

(b) P(x\le 3) = 0.75

<em>(b) is the same as (a)</em>

(c) P(x \ge 5) = 0.10

(d) P(x = 1\ or\ 2) = 0.55

(e) P(x > 2) = 0.45

Step-by-step explanation:

Given

\begin{array}{ccccccc}{CDs} & {1} & {2} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.30} & {0.25} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}

Solving (a): Probability of 3 or fewer CDs

Here, we consider:

\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}

This probability is calculated as:

P(x\le 3) = P(1) + P(2) + P(3)

This gives:

P(x\le 3) = 0.30 + 0.25 + 0.20

P(x\le 3) = 0.75

Solving (b): Probability of at most 3 CDs

Here, we consider:

\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}

This probability is calculated as:

P(x\le 3) = P(1) + P(2) + P(3)

This gives:

P(x\le 3) = 0.30 + 0.25 + 0.20

P(x\le 3) = 0.75

<em>(b) is the same as (a)</em>

<em />

Solving (c): Probability of 5 or more CDs

Here, we consider:

\begin{array}{ccc}{CDs} & {5} & {6\ or\ more}\ \\ {Prob} & {0.05} & {0.05}\ \ \end{array}

This probability is calculated as:

P(x \ge 5) = P(5) + P(6\ or\ more)

This gives:

P(x\ge 5) = 0.05 + 0.05

P(x \ge 5) = 0.10

Solving (d): Probability of 1 or 2 CDs

Here, we consider:

\begin{array}{ccc}{CDs} & {1} & {2} \ \\ {Prob} & {0.30} & {0.25} \ \ \end{array}

This probability is calculated as:

P(x = 1\ or\ 2) = P(1) + P(2)

This gives:

P(x = 1\ or\ 2) = 0.30 + 0.25

P(x = 1\ or\ 2) = 0.55

Solving (e): Probability of more than 2 CDs

Here, we consider:

\begin{array}{ccccc}{CDs} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}

This probability is calculated as:

P(x > 2) = P(3) + P(4) + P(5) + P(6\ or\ more)

This gives:

P(x > 2) = 0.20+ 0.15 + 0.05 + 0.05

P(x > 2) = 0.45

3 0
3 years ago
A dependent system of equations is a system with<br> the same line
Naddik [55]
I don’t understand your question
4 0
3 years ago
The line below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?
MAXImum [283]

The line below are parallel so they have same slopes

If the green line has a slope of -1/2, the slope of the red line is also - 1/2

Answer

-1/2

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4 years ago
Read 2 more answers
N the numerical sentence below, A = 8, D =1/2 , and F =1/4 . What are the values B, C, and E if the sentence below is equivalent
MrRissso [65]

Answer:

C and F were correct by B is NOT 3 it is 1/3.

In order for 8^B to equal to 2 then it must be 8^1/3

B = 1/3

C = 16

F = 4,096

Step-by-step explanation:

3 0
3 years ago
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