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emmainna [20.7K]
1 year ago
8

What is the variance for this activity? activity a m b t es ef ls lf 7 1 1.5 2 1.50 8 9.50 8 9.50

Mathematics
1 answer:
Lina20 [59]1 year ago
8 0

The variance for this activity  is  mathematically given as

Var=0.026  

<h3>What is the variance for this activity?</h3>

A data set's variance may be seen as a measurement of the spread that exists between the individual integers. When evaluating the asset allocation of a portfolio, investors employ an expression known as the variance equation.

After careful consideration of the  table given in the question, we have that

Pessimistic time tp=2

optimistic time to=1

most likely time tm=1.5

Generally, the equation for variance is  mathematically given as

\sigma^2=\frac{tp-to}{6}^2

Therefore

\frac{2-1}{6}^2\\\\\sigma^2=1/6^2

Var=0.026  

In conclusion,  the variance for this activity

Var=0.026  

Read more about variance

brainly.com/question/14116780

#SPJ4

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Step-by-step explanation:

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

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Answer:

<h2>Vertical stretch or compression and vertical shift.</h2>

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

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The image attached shows examples of this.

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