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3 years ago

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94

Mathematics

1 answer:

kari74 [83]3 years ago

8 0

Answer:

0.76

Step-by-step explanation:

0.48, 0.66, 1.02, 0.82, 0.7, 0.94

Organize the numbers from least to greatest.

0.48, 0.66, 0.7, 0.82, 0.94, 1.02

Then find the middle (Median is the middle).

0.48, 0.66, 0.7, |?| 0.82, 0.94, 1.02

Take the two numbers closest to the middle. Add them.

0.7 + 0.82

= 1.52

Divide that with 2.

= 0.76

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faust18 [17]

Answer:

The vertex is (0, -5) and the axis of symmetry is x = 0.

Step-by-step explanation:

In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.

x = -b/2a

x = 0/2(1)

x = 0/2

x = 0

So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.

f(x) = x^2 - 5

f(x) = 0^2 - 5

f(x) = 0 -5

f(x) = -5

This gives us a vertex of (0,-5)

7 0

3 years ago

Please help!!!! D:<br>(word problem grade 7-8)

KIM [24]

Answer:

Step-by-step explanation:

To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.

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3 years ago

Which fraction is equivalent to the decimal 0.15?With the line over.

melisa1 [442]

Answer:

Step-by-step explanation:

divide 100 and dive 15 by 5

7 0

3 years ago

Read 2 more answers

Four friends paid a total of $32 for movie tickets. What is the ratio $32 for 4 people written as a unit rate?

ddd [48]

32/4=8/1

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6 0

3 years ago

Read 2 more answers

Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?

Artemon [7]

Answer:

The equation $y=\frac{-x^2-6x+31}{8}$ represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula $d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$ , we find that the distance between (x, y) is

$\sqrt{(x+3)^2+(y-3)^2}$

and the distance between (x, y) and the directrix y = 7 is

$\sqrt{(y-7)^2}$ .

On the parabola, these distances are equal so, we solve for y:

$\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}$

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3 years ago