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Masja [62]
3 years ago
14

Round your answer to the nearest tenth.

Mathematics
2 answers:
Kruka [31]3 years ago
7 0

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

  • The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

ladessa [460]3 years ago
6 0

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

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Answer:

a. <u>0.5 or 50%</u>

b. <u>0.496 or 49.6%</u>

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f. <u>The qualifying speed would be 47.4 wpm.</u>

Step-by-step explanation:

a. Let's find the z-score this way:

μ  = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

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Now, let's calculate the p value for z-score = 0, using the z-table:

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Now, let's calculate the p value for z-score = -.0.01, using the z-table:

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If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

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Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

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Now, let's calculate the p value for z-score = 2, using the z-table:

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<u>p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%</u>

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

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Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

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<u>Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.</u>

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Now, let's calculate the p value for z-score = 1, using the z-table:

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z-score = (x - μ)/σ

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-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

<u>The qualifying speed would be 47.4 wpm.</u>

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