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Akimi4 [234]
2 years ago
6

Tara wants to put a white fence aroung the yard including the garden. Write an

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

 

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

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Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
This is the last time its happened twice please i need the answer
slamgirl [31]

Answer:

I think the answer is F hope its right fingers crossed!

Step-by-step explanation:

3 0
3 years ago
A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?
Elena-2011 [213]
The answer is C because the formula is 2 x pai x radius
4 0
3 years ago
Can anyone solve this triangle?
kirill [66]

Answer:

Step-by-step explanation:

a^2+6^2 = 23^2

a^2 = 23^2 - 6^2

a^2 = 529 - 36

a^2 = 493

a = √493

a = 22,20

7 0
3 years ago
A ​$240 suit is marked down by ​30%. Find the sale price.
Alona [7]

Answer:

184.62$

Step-by-step explanation:

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8 0
2 years ago
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