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Helga [31]
2 years ago
14

Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each

side? Use an equation to solve
Mathematics
1 answer:
Agata [3.3K]2 years ago
3 0

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

P=nl

where n is the number of sides and l is the length of each side.

So we clear for l and we get:

l=\frac{P}{n}

and subtituting the known values:

l=\frac{95.4cm}{6}\\ l=15.9cm

each side is 15.6 centimeters long

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6 0
2 years ago
In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37
djyliett [7]

Answer:

More than 50% would germinate

Step-by-step explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

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H_0: p = 0.50\\H_a: p>0.50\\

(right tailed test)

Sample proportion p =\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is  possible to claim that most of the seed will germinate (i.e. more than 50%)

7 0
2 years ago
Select the three ratios that represent the number of red cars to blue cars
Afina-wow [57]
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3 years ago
How many terms are there in a geometric series if the first term is 3, the common ratio is 4 and the sum of the series is 1,023
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The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r) in our case:

s(n)=3(1-4^n)/(1-4)

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s(n)=(4^n)-1  and s=1023

(4^n)-1=1023

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3 years ago
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Answer:

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Step-by-step explanation:

We can use cross products to determine if the ratios are proportional

50         10

------ = -----------

32           8

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This is not true so they are not proportional

3 0
3 years ago
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