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Ira Lisetskai [31]

4 years ago

6

If the angles is 180 and there is 3 parts (3x+94) and (x+36) and (2x-4) what is x

1 answer:

DiKsa [7]4 years ago

3 0

Hehe, I thought I'd get this one wrong, but x=10. Remember, that a straight angle must add up to 180 degrees. So I added all the angles; (3x+94)+(x+36)+(2x-4)=180. I took away the parentheses having 3x+94+x+36+2x-4=180. Remember from Algebra 1, to simplify terms, we add the polynomials. 94+36-4=126. 3x+x+2x= 6x. Our simplified equation is 120+6x=180. Now we can answer. 180-120=60. 60=6x. So therefore, for all x, x equals 10.

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Answer:

$P(x < 535.8) = 0.64$

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

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