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Assoli18 [71]
3 years ago
11

I WILL MARK THE BRAINLIEST! I NEED HELP NOW!Ashton is constructing the bisector of MN¯¯¯¯¯¯¯.What should Ashton do for his first

step?
A. Use the straightedge to extend MN¯¯¯¯¯¯¯ in both directions.



B. Use the straightedge to draw a line that passes through point M.



C. Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 12MN.



D. Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is less than 12MN.
Mathematics
2 answers:
Yanka [14]3 years ago
6 0

Answer:

Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 1/2 MN.

Step-by-step explanation:

Ashton is constructing the bisector of MN¯¯¯¯¯¯¯

The first step will be :

Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 1/2 MN.

He will make 2 arcs from M, one above the line and one below the line.

Then he will repeat the same with N and draw two arcs above and below the line.

Lastly he will draw a line passing through both the arcs(where both arcs cross).

This line is the bisector.

Anika [276]3 years ago
5 0

Question says that "Ashton is constructing the bisector of MN¯¯¯¯¯¯¯."

Now we need find about what should Ashton do for his first step?.


We know that to bisect any line say MN, we need to draw two arc from each end point M and N. Both arcs will intersect only when the width of the compass is more than half of the length of side MN. so that we we can join both intersection points to draw the perpendicular bisector.

Hence correct matching choice is C.

So the final answer is "C. Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 12MN."

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Andrej [43]

Answer:

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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}

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 67g and a sample standard deviation of 1g.

This means that \mu = 67, \sigma = 1

Sample of 4

This means that n = 4, s = \frac{1}{\sqrt{4}} = 0.5

What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?

This is the pvalue of Z when X = 68.5. So

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

By the Central Limit Theorem

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

Z = \frac{68.5 - 67}{0.5}

Z = 3

Z = 3 has a pvalue of 0.9987

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

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~
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