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2 years ago

URGENT!!!!..........

Mathematics

2 answers:

NARA [144]2 years ago

6 0

Answer:

105 degrees

Step-by-step explanation:

l and m are parralel and are strait lines 180 degrees

angle 6 is corresponding to angle 2 so angle 2 is also 75 degrees

180 minus 75 equals 105 degrees

Norma-Jean [14]2 years ago

5 0

Angle 1 is 105 degrees

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makvit [3.9K]

x = 4, y = 1

Step 1: use the equations given to find an equation with only 1 term. Here I used x.

(x + 2y) + (x - 2y) = 2x = 6 + 2 = 8

2x = 8

x = 4

Step 2: substitute x = 4 into either given equation. Here I used the first equation x + 2y = 6.

(4 + 2y) = 6

2y = 6 - 4 = 2

y = 1

This solution can also be done by finding y in step 1 or using the other given equation in step 2.

Hope this helped!

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zloy xaker [14]

Answer:

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Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

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The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

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The mean and standard deviation of the sampling distribution of sample proportion are:

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$P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})$

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Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

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