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3 years ago

What is the SST for the data set (1,4), (2,6),(4,11)?

Mathematics

2 answers:

andrey2020 [161]3 years ago

6 0

Answer:

Step-by-step explanation:

SST = ∑ ( y − ȳ ) ² (ȳ = pronounced y bar is the mean of y values)

ȳ = (4+6+11)/3 = 21/3 = 7

∑ ( y − ȳ ) ² = ( 4 − 7 ) ² + ( 6 − 7 ) ² + ( 11 − 7 ) ²

= ( − 3 ) ² + ( - 1 ) ² + ( 4 ) ²

= 9 + 1 + 16

= 26

densk [106]3 years ago

5 0

Answer: 26

Step-by-step explanation:

First Data: (4 - 7)^2

Second data: (6 - 7)^2

Third Data: (11 - 7)^2

So the SST is (4 - 7)^2 + (6- 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26

Hope this helps! :)

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NISA [10]

Denominator:

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Answer D.

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3 years ago

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lara31 [8.8K]

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3 years ago

4 Consider the triangle below.

Maurinko [17]

<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

$= \tt x + 1.4 = 2x + 0.1$

$= \tt x + 1.4 - 0.1 = 2x$

$= \tt \: x + 1.3 = 2x$

$= \tt 1.3 = 2x - x$

$\color{plum} \hookrightarrow \tt x = 1.3$

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

$= \tt x + 1.4$

$= \tt 1.3 + 1.4$

$\color{plum} \tt leg \: AM= 2.7 \: inches$

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

$= \tt 2x + 0.1$

$= \tt2 \times 1.3 + 0.1$

$= \tt 2.6 + 0.1$

$\color{plum} \tt\: leg \:MG = 2.7 \: inches$

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

$= \tt 3x - 0.4$

$= \tt 3 \times 1.3 - 0.4$

$= \tt 3.9 - 0.4$

$\color{plum}\tt \: Base \: AG = 3.5 \: inches$

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

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3 years ago

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<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

<u><em>The mean is also the average.</em></u>

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The average amount of students is 12

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Answer:

Step-by-step explanation:

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