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storchak [24]
2 years ago
14

If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M

to N into? 4:1 4:3 4:7 4:10
Mathematics
2 answers:
vovangra [49]2 years ago
9 0

Answer:   B. 4 : 3

edg 2021

Step-by-step explanation:

andrew-mc [135]2 years ago
3 0

Answer: Point P partitioned the line segment MN into 4:3.

Step-by-step explanation:

Point P is \dfrac47of the distance from M to N.

Let the distance between M to N =x.

MP=\dfrac47x

Point P partition the directed line segment from M to N .

MN = MP+PN

\Rightarrow\ x=\dfrac47 x+PN\\\\\Rightarrow\ PN =x-\dfrac47 x\\\\\Rightarrow\ PN=\dfrac37 x

Ratio of MP to PN = =\dfrac{\dfrac{4}{7}x}{\dfrac{3}{7}x}=\dfrac43

∴ Point P partitioned the line segment MN into 4:3.

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A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s
Naily [24]

Answer:

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Step-by-step explanation:

Problems of normally distributed samples are 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.

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