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velikii [3]
3 years ago
9

An engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is th

e length of the model?
Mathematics
2 answers:
Scrat [10]3 years ago
8 0

Answer:

16\frac{2}{3}\approx 16.67 inches.

Step-by-step explanation:

We have been given that an engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards.

To find the length of the model, we will use proportions as:

\frac{\text{Length of model}}{\text{Actual length}}=\frac{1\text{ inch}}{\text{3 yards}}

\frac{\text{Length of model}}{50\text{ yards}}=\frac{1\text{ inch}}{\text{3 yards}}

\frac{\text{Length of model}}{50\text{ yards}}*50\text{ yards}=\frac{1\text{ inch}}{\text{3 yards}}*50\text{ yards}

\text{Length of model}=\frac{50}{3}\text{ inch}

\text{Length of model}=16\frac{2}{3}\text{ inch}

Therefore, the length of model is 16\frac{2}{3}\approx 16.67 inches.

AlladinOne [14]3 years ago
7 0
<span>16.6666666667 
 
To solve the problem, do 50 divided by 3. This will give you how many inches the model is.


</span>
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3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
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Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

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The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

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The 90% confidence interval for the population proportion is (0.6290, 0.6948).

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Answer with explanation:

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Time taken by Jere to prepare the Report = 4 hours

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