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ladessa [460]
3 years ago
14

LEARN

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

Q₂ = 78

Step-by-step explanation:

Q₂ is the median of the data set.

The median is the middle value of the data arranged in ascending order.

If there is no exact middle value then it is the average of the values either side of the middle.

48,  64,  66,  70,  72,  84,  86,  90,  92,  94 ← in ascending order

                                 ↑ middle

median Q₂ = \frac{72+84}{2} = \frac{156}{2} = 78

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ludmilkaskok [199]
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4 0
3 years ago
Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation
jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

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So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

7 0
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3 years ago
Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
Lilit [14]

ANSWER

• Circumference: 18.84 ft

,

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

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In this case, the radius is r = 3 ft and we have to use 3.14 for π,

C=2\cdot3.14\cdot3ft=18.84ft

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

A=\pi r^2

In this case, r = 3 ft and π = 3.14,

A=3.14\cdot3^2ft^2=28.26ft^2

Hence, the area of this circle is 28.26 square feet.

6 0
1 year ago
What is the slope of the line that passes through the following points: (3,-1) and (-1,2)?
Katyanochek1 [597]

with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2  

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3 years ago
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