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3241004551 [841]
3 years ago
8

What is the solution to the system of linear equations?​

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

Step-by-step explanation:

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I might be wrong but don’t you need two equations to do the elimination process?
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3 years ago
A number q plus 8 is less than or equal to 15​
Zepler [3.9K]

Answer:

q≤7

Step-by-step explanation:

q+8≤15

1) Subtract 8 from both sides:

q≤7

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Read 2 more answers
The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
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Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97.  But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

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Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

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We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

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√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

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Clara estimates that the length of a hiking trail is 5.75 kilometers. She later learns that its actual length is 6.25 kilometers
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3 years ago
For what value of x is PQ || BC?<br> A 5<br> B. 6<br> C. 7<br> D. 8
Dahasolnce [82]

Answer:

C. 7

Step-by-step explanation:

In\: \triangle ABC\\\overline{PQ} \parallel \overline {BC}.. (given) \\

Therefore, by Basic Proportionality theorem:

\frac{AP}{PB} = \frac{AQ}{QC} \\\\\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\ \therefore \:  \frac{x - x - 7}{x + 7}  =  \frac{x - 3 - x - 1}{x + 1}  \\ (by \: dividendo) \\  \\  \frac{ - 7}{x + 7}  =  \frac{ - 4}{x + 1}  \\  \\  \frac{7}{x + 7}  =  \frac{4}{x + 1}  \\  \\ 7x + 7 = 4x + 28 \\  \\ 7x - 4x = 28 - 7 \\  \\ 3x = 21 \\  \\ x =  \frac{21}{3}  \\  \\ \huge \red{ \boxed{ x = 7}}

5 0
3 years ago
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