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1 year ago

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What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh

One-eleventh Two-fifteenths Fifteen-halves.

2 answers:

Sphinxa [80]1 year ago

7 0

Answer:

B

Step-by-step explanation:

edge2021

Elden [556K]1 year ago

6 0

The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is $\frac{1}{11}$ .

The given parameters:

<em>Partition of the line segment = 5:6</em>

The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;

total segment = 5 + 6 = 11

The value of each partition on the directed line segment is calculated as follows;

$partition = \frac{1}{11} \times distance$

The distance between point D and point E is calculated as follows;

$D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9$

The partition of the two points (D to E) is calculated as follows;

$partition = \frac{1}{11} \times 9 = 0.82$

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is $\frac{1}{11}$ .

Learn more about partition of line segments here: brainly.com/question/4429522

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Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

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According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

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Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

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$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

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P = 1- percent of people has an IQ score between 74 and 126.

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Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

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The percentage of people has an IQ score greater than 139 is

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