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Sergeeva-Olga [200]
3 years ago
10

Pls help this is due today! A circular plate has a circumference of 14p in. Find the area of the same plate.

Mathematics
2 answers:
dexar [7]3 years ago
8 0

Answer:

area = 153.86 in²

Step-by-step explanation:

Diameter = 14π / π = 14

radius = 1/2(14) = 7

area = π7² = 153.86 in²

NeX [460]3 years ago
7 0
Circumference is pi x diameter
So the diameter is 14
Area of a circle is pi x r^2
radius is half the diameter
so radius = 7
So pi x 7^2
= 49pi
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Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
35 multiplied by the quantity r less than 45
Reil [10]
Hello There!

Call the missing value 'n'
35n < 45.

Hope This Helps You!
Good Luck :)

4 0
3 years ago
If 16 is added to one-third of a number, the result is three times the number. What is the number?
AnnZ [28]
First set up the equation based on the description.

\frac{1}{3} x + 16 = 3x

Use subtraction to get the "x"s on one side of the equation. You can next subtract <span>\frac{1}{3} x from both sides.

16 = </span>\frac{8}{3}<span> x

Now you can multiply both sides of the equation by </span>\frac{3}{8}<span>  to solve for x

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4 0
3 years ago
Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 seconds, due to human reaction time at the s
Yakvenalex [24]

Answer:

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b) 27,400%

c) 164,900%

Step-by-step explanation:

We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).  

But 0.2 increased in x% equals  

0.2 + 0.2(x/100) =0.2(1+x/100)

So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)

a)

We need to find the value of x such that

0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒  1+x/100=27.5

⇒  x/100=26.5 ⇒ x=2,650%

b)

0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒  1+x/100=275

⇒  x/100=274 ⇒ x=27,400%

c)

5.5 min = 5.5*60 s = 330

0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒  1+x/100=1,650

⇒  x/100=1,649 ⇒ x=164,900%

4 0
3 years ago
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Oksi-84 [34.3K]
The answer is 1 : 1 : square root of 3
3 0
3 years ago
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