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3 years ago

What is the length of MN? 58 cm 75 cm 88 cm 116 cm

Mathematics

2 answers:

Brums [2.3K]3 years ago

5 0

Answer:

The length of MN is 58 cm.

Step-by-step explanation:

In the given figure we can see that AM = MB

So, M is the mid point of AB.

Also, BN = NC ( Consider the given figure )

So, N is the mid point of BC.

Since M and N are the midpoints of AB and BC .

So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.

⇒ MN is parallel to AC

and

$MN = \frac{1}{2} AC$

$MN = \frac{1}{2} (116)$

$MN = 58 cm$

Thus , the length of MN is 58 cm.

SSSSS [86.1K]3 years ago

4 0

Answer:

The length of MN is 58 cm.

Step-by-step explanation:

Given the figure in which

AM=MB, CN=NB

So, M and N are the mid point of AB and BC

∴ By mid point theorem which states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side of the triangle and half the length of third side.

⇒ MN is parallel to AC and also half of third side i.e AC

$MN=\frac{1}{2}AC=\frac{1}{2}\times 116=58 cm$

Hence, the length of MN is 58 cm.

Thus , the length of MN is 58 cm.

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If the distribution is really (5.43,0.54)

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Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples 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.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

$\mu = 5.43, \sigma = 0.54$