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Sindrei [870]
3 years ago
15

Richie is planting a rectangular garden with a perimeter of 39 feet. The length is twice the width. Find the dimensions of the g

arden
Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

l=13 ft

w=6.5 ft

Step-by-step explanation:

a rectangular garden would have 4 sides

two of the sides are x feet long

and the other two sides are 2x feet long

therefore

x+x+2x+2x=39

which is the same as saying

6x=39

divide both sides by 6 to get

x=6.5

so the width is 6.5 feet and the length is twice that or 13 feet

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Answer:

no solution

Step-by-step explanation:

Good luck!

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3 years ago
A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion
Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

6 0
4 years ago
How many solutions does the following equation have<br> 3(f - 5) = 6f - 12 + 3f
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Step-by-step explanation:

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F=-3

Answer2

3(f-5)=6f-12+3f

3f-15=6f-12+3f

3f-6f+3f=-12+15

F=3

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The third choice is different.

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