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evablogger [386]
3 years ago
11

What is the area of a regular pentagon with side length 20 feet? Can u guys show steps pls.

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

688.19m^2

Step-by-step explanation:

A=\frac{1}{4} \sqrt{5(5+2\sqrt{5} } a^2\\=\frac{1}{4} \sqrt{5(5+2\sqrt{5} }* 20^2\\=688.19096m^2\\=688.191m^2\\=688.19m^2

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In a previous​ year, 58​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different tod
Gemiola [76]

Answer:

z=\frac{0.565 -0.58}{\sqrt{\frac{0.58(1-0.58)}{600}}}=-0.744  

Since is a bilateral test the p value would be given by:  

p_v =2*P(z  

And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58

Step-by-step explanation:

Information given

n=600 represent the random sample selcted

X=339 represent the number of females aged 15 and older that living alone

\hat p=\frac{339}{600}=0.565 estimated proportion of females aged 15 and older that living alone

p_o=0.58 is the value that we want to check

\alpha=0.01 represent the significance level

z would represent the statistic

p_ represent the p value

Sytem of hypothesis

We want to check if the true proportion females aged 15 and older that living alone is significantly different from 0.58.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.565 -0.58}{\sqrt{\frac{0.58(1-0.58)}{600}}}=-0.744  

Since is a bilateral test the p value would be given by:  

p_v =2*P(z  

And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58

5 0
3 years ago
H E L P ASAP HELP<br> !!!!!!!!!!!!!!!!!!!!!!!!!!!
IrinaVladis [17]

Answer:

See each answer bolded below

Step-by-step explanation:

1. Area of the rectangle is 20 * 30 = 600

Area of the 6 circles is 6(25pi)

150pi/600 = 0.7854

1 - 0.7854 = 0.2146

convert to percentage 21.46%

2. 6/16 -> 3/8

Roughly 38% (37.5)

3. 10/24 = 0.41666666667 or 0.4167

41.66

roughly 42%

4. 12/36 -> 1/3

33.3333

33%

4 0
3 years ago
Which choice correctly expresses the number below in scientific notation?
SVEN [57.7K]

Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

4 0
3 years ago
How do you find the rate of change in a graph
Anni [7]
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
6 0
3 years ago
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What is the value of y=4x−2<br> when x=3<br> ?
MariettaO [177]

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

7 0
3 years ago
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