(30x7)+(7x5) you basically just have break it up.I hope this really helped you.
The probability of getting a total of 8 when two dice are rolled is 0.139 when the answer is rounded to three decimal places.
<h3>What is meant by Probability?</h3>
Numerous uses of mathematics' probability formula may be found. Probability can be used, for instance, to determine the likelihood that a certain marketing would really be successful in generating fresh customers. Calculating the likelihood of something happening is another use of probability.
Let's examine what probability is, how to compute the probabilities of single and many random occurrences, and how the terms probability and odds vary from one another.
The likelihood that an event like rolling two dice will occur is determined by probability:
P(A) = f / N
Odds and probability are connected, but the probability determines the odds. Probability is required before calculating the likelihood of an occurrence.
The probability is P(getting a total of 8 from both dices)=5/36= 0.139.
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After 12 hours the pound would have 720 pounds of algae.
The answer is 0.0136986301369863
Hope this helped!!
Answer:
No solutions.
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
- Expanding
- Finding roots of a quadratic
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

Step-by-step explanation:
<u>Step 1: Define systems</u>
2x - y = 9
4x² + 3y² - 2x + y = 16
<u>Step 2: Rewrite systems</u>
2x - y = 9
- Subtract 2x on both sides: -y = 9 - 2x
- Divide -1 on both sides: y = 2x - 9
<u>Step 3: Redefine systems</u>
y = 2x - 9
4x² + 3y² - 2x + y = 16
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x² + 3(2x - 9)² - 2x + (2x - 9) = 16
- Expand: 4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16
- Distribute 3: 4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16
- Combine like terms: 16x² - 108x + 234 = 16
- Factor GCF: 2(8x² - 54x + 117) = 16
- Divide 2 on both sides: 8x² - 54x + 117 = 8
- Subtract 8 on both sides: 8x² - 54x + 109 = 0
- Define variables: a = 8, b = -54, c = 109
- Resubstitute:

- Exponents:

- Multiply:

- Subtract:

Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.
<u>Step 5: Graph systems</u>
<em>We can verify our results.</em>