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zzz [600]
2 years ago
9

Write the equation in slope-intercept form. 5x + 5y = 35

Mathematics
1 answer:
vekshin12 years ago
4 0

Answer:

y = -x + 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   5x + 5y = 35

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form.</em>

  1. Subtract 5x on both sides:                    5y = -5x + 35
  2. Divide 5 on both sides:                         y = -x + 7
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Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 105, p = 0.9

So

\mu = E(X) = np = 105*0.9 = 94.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 94.5}{3.07}

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