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aleksandrvk [35]
3 years ago
15

Given that 2x – 9y = 11

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

y = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x - 9y = 11

<em>x</em> = 7

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  2(7) - 9y = 11
  2. Multiply:                                                                                                             14 - 9y = 11
  3. [Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3
  4. [Division Property of Equality] Divide -9 on both sides:                                 y = 1/3
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Answer:

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If we find the individual probabilities we gotL

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Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

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The probability mass function for the Binomial distribution is given as:  

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If we find the individual probabilities we gotL

P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068  

P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494  

P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543

And replacing we got:

P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895

 

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