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san4es73 [151]
3 years ago
14

The second hand on a clock is 8 cm,long.

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

Total Distance = 8.37 cm

Step-by-step explanation:

D = π2r

D = π2(8)

D = 16 π

D = 50.24

T = 60 = 1hr

T = 60/10 = T x D = 1/6 x 50.24

Total D = 8.37 cm

Alternative is we can take 1/6 as a decimal = 0.1666 x 50.24 = 8.37 cm

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Step-by-step explanation:

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Radical Expressions and Data Analysis Unit Portfolio
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TASK 1
a) Data and frequency table are attached in picture #1.

b) The histogram is attached in picture #2

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TASK 2
a) The list of breeds and weights are reported in picture #3. 
</span>
In order to find the mean, sum up all the weights and divide by 9:
m = (<span>8 + 10 + 15 + 29 + 32 + 75 + 77 + 80 + <span>85) / 9 = 45.67 lbs

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M = 32 lbs

In order to find the mode, you need to select the value which shows more frequently: in this case, every value shows only once, therefore the mode cannot be determined.

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Indeed, if the average is 250 lbs for 10 dogs, it means that the total sum of their weights is 250 × 10 = 2500 lbs. We know that the sum of the first 9 dogs is 411 lbs, therefore, the tenth dog should weight 2500 - 411 = 2089 lbs.

TASK 3
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</span></span>
a) The box-and-whisker plot is attached in picture #5.

b) The median is the central value of the distribution, which is: <span> 
42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 </span>
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Since we have 12 values, the median will be the average between the two central values:
M = (66.0 + 69.1) / 2 = 67.1 °F

c) 7<span>5% of the temperatures are below 83.2 °F.
Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:
3/4 </span>· (n + 1) = 3/4 · (12 + 1) = 3/4 <span>· 13 = 9.75
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d) 7<span>5% of the temperatures are above 50.8 °F.
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Answer:

\frac{5x+1}{5}

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<em><u>Given Condition:</u></em>

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Hope this helps!

Don't hesitate asking anything regarding this!

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