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3 years ago

What is the mean of the following data values? 22, 37, 49, 15.92

Mathematics

2 answers:

Nonamiya [84]3 years ago

7 0

Answer:

30.98

Step-by-step explanation:

To solve for the mean/average of a set of numbers, you add them and divide by the number of numbers/data values.

(22+37+49+15.92)/4 = 123.92/4 = 30.98

Hope this helps and sorry if I made a mistake. :)

Natalija [7]3 years ago

5 0

The correct answer is 30.98

to find the mean in any data set you add all of the numbers together and then divide the sum by the total amount of numbers (in this data set it’s 4)

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93 is decreased to 90

lapo4ka [179]

93-3=90
I hope this helps;)

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3 years ago

Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

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2 years ago

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3 years ago

Select the objects that hold the same amount of liquid as a 98 fluid ounce jug

Tema [17]

To answer this question, you need to know how many fluid ounces are in a pint and in a quart. None of the choices reflect 98 fl oz, so I showed the ones that would hold 96 fluid ounces.

1 cup = 8 fl oz
2 cups = 16 fl oz
1 pint = 2 cups, so 1 pint also equals 16 fl oz.

2 pints equal 1 quart, so 16 x 2 = 32 oz (the number of fluid ounces in a quart)

1 pint - 16 fl oz
1 quart = 32 fl oz

Choice A: 3 quarts x 32 =96 fl oz.
Choice B: 2 quarts x 32 = 64 fl oz
Choice C: 2 quarts x 32 + 2 pints x 16 = 64 + 32 (96 fl oz)
Choice D: 1 quart x 32 + 8 cups x 8 = 32 + 64 (96 fl oz)
Choice E: 2 cups x 8 + 2 pints x 16 = 16 + 32 (48 fl oz)

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3 years ago

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Tresset [83]

Answer:

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Step-by-step explanation:

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3 years ago

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