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Elan Coil [88]
4 years ago
15

Solve the system by substitution. x - 2y = 4 2x - 6y = 8

Mathematics
2 answers:
Alexandra [31]4 years ago
5 0
Hi there!

To solve this system with substitution, we need to set x equal to [its value] and plug it into the second equation.

x = 2y + 4

2(2y + 4) - 6y = 8
4y + 8 - 6y = 8
-2y + 8 = 8
-2y = 0
y = 0

Now, we plug y into the equation and solve for x.

x = 4

Hope this helps!
Flauer [41]4 years ago
3 0
1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4
2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4
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Answer:

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

Step-by-step explanation:

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The expected value of the binomial distribution is:

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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 = 50, p = 0.13

So

\mu = E(X) = np = 50*0.13 = 6.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.13*0.87} = 2.38

Find the probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

This is 1 subtracted by the pvalue of Z when X = 4. So

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

Z = \frac{4 - 6.5}{2.38}

Z = -0.84

Z = -0.84 has a pvalue of 0.2005

1 - 0.2005 = 0.7995

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