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3 years ago

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

Mathematics

2 answers:

morpeh [17]3 years ago

4 0

Answer:

Lower Quartile (Q1) = 19; Upper Quartile (Q3) = 38.

Step-by-step explanation:

To find the quartiles, we begin by finding the median (Q2). The median is the middle value; this is 25.

The median splits the data into half. The median of the lower half is 19; this is the lower quartile. The median of the upper half is 38; this is the upper quartile.

aev [14]3 years ago

3 0

Answer:

Upper quartile: 38
Lower quartile: 19

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3 years ago

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4 years ago

What are two decimals that are equivalent to 7.7

Elza [17]

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3 years ago

-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

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3 years ago