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tino4ka555 [31]
3 years ago
14

Find the angular velocity of a wheel that makes 30 revolutions in 10 seconds.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0
30 revolutions = 30 * 2pi  = 60 pi radians

angular velocity in rads / sec = 60pi / 10  = 6pi Answer
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Find the mean and standard deviation for the set of data.
dem82 [27]

The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.

<h3>What is a standard deviation?</h3>

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The set of data is given below.

16, 22, 8, 5, 20, 18, 14, 17, 24

The mean of the data set will be

μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9

μ = 144 / 9

μ = 16

Then the standard deviation of the data set will be

\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}} \\\sigma = \sqrt{\dfrac{(16 - 16)^2 +(22 - 16)^2 + (8-16)^2 + ......+(24-16)^2  }{9}} \\\sigma = \sqrt{\dfrac{310}{9}}\\

Simplify the expression further, then we have

σ = √34.44

σ = 5.87

The mean and standard deviation for the set of data will be 16 and 5.87.

Then the correct option is A.

More about the standard deviation link is given below.

brainly.com/question/12402189

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3 0
1 year ago
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.
vovikov84 [41]

Answer:

A=(4-g) 1.5

Step-by-step explanation:

Let g be the amount of glycerin in the lotion.  We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

8 0
3 years ago
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Answer:

6x + y = 1

y = 1 - 6x

7x + 2(1 - 6x) = -3 substitute 1 - 6x in for y

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2 - 5x = -3 subtract 2 from both sides

-5x = -5 divide by -5

x = 1

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3 years ago
Plz help I’m am getting timed
forsale [732]

Answer:

2/8

Step-by-step explanation:

2/8 or 1/4

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3 years ago
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