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Alik [6]
3 years ago
14

The length of a rectangle is 8 1/2 inches and the width is 3 1/4 inches. What is the ratio, using whole numbers, of the length t

o the width?
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
Short answer 34/13
Start by converting both to improper fractions.

8 1/2 = (2*8 + 1)/2 = 17/2

3 1/4 = (3*4 + 1)/4 = 13/4

Next set up a 4 layer fraction

\dfrac{\dfrac{17}{2}}{\dfrac{13}{4} }

Invert the lower fraction and multiply\dfrac{17}{2}* \dfrac{4}{13}

Cancel the 2 and the 4 leaving you with a 2 in the numerator.\dfrac{17*2}{13} =\dfrac{34}{13} 

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Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
Eva8 [605]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

M = 0.038

The margin of error for the 90% confidence interval is of 0.038.

8 0
2 years ago
Ali paid $85 for an antique clock several years ago. She recently found that it had increased in value 165%. What is the present
Sophie [7]
Well you know that $85 is 100% then half of that is 50% and I guess find 15% and add all of it to get 265%
6 0
3 years ago
Numbers like 10, 100, 1,000, and so on are called
Nataly [62]

Answer:

Powers of ten

Step-by-step explanation:

They are the result of multiplying 1= times iteself however many times.  

5 0
3 years ago
Solve for x: one over four (4x + 15) = 24
Komok [63]

Answer:

x = 81/4

Step-by-step explanation:

multiply both sides by 4

4x + 15 = 96

subtract 15 from both sides

4x = 81

divide both sides by 4

x= 81/4

i hope that's right

8 0
3 years ago
Deremine the slope and y-intercept y=x+5
const2013 [10]
Slope:1
Y intercept:5
8 0
3 years ago
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