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svetlana [45]
1 year ago
13

A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported

the construction of walking trails in the community park. The results are shown in the following table.
Mathematics
1 answer:
Hoochie [10]1 year ago
4 0

The total number of people that will be selected is 14.

<u>Step-by-step explanation:</u>

For stratified random sampling at first we need to divide the population into some strata and then choose sample from each. For the given problem the response category is

Sample size of strata = (Size of entire sample by populaion size) multiply strata size

= (20 by 300) multiply 210

after solving we get, 14

therefore, 14 people will be selected.

One merit is that here since we divide the whole data into stratas and then select samples from that so it can be used as a guard against unwanted samples and also gives more accurate sample measure. Here since we required samples from the population who gave yes and no opinion so it is better to use stratified sampling method otherwise if we use simple random sampling then we may choose those samples who gave no opinion. But since we don't use that method so we can avoid this.

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According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce
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Answer:

26.11% of women in the United States will wear a size 6 or​ smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{22.4 - 23.3}{1.4}

Z = -0.64

Z = -0.64 has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or​ smaller

8 0
2 years ago
You need at least $485 to go on a trip to New York City. You already have $100 saved for the trip. You decide to save an additio
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The entire trip costs 485 dollars. She has a hundred, and you are looking for the number of weeks needed to save for the trip.

Step one
Set up the basic equation.
35w + 100 ≥ 485

Step two
solve
35w + 100 ≥ 485        Subtract 100 from both sides.
35W ≥ 485 - 100         
35W ≥ 385 Divide by 35
W ≥ 385 / 35
W ≥ 11 weeks.

Since we don't have choices, we can't eliminate those that are wrong.

If I had to guess I would say it was something that looked like
35W + 100 ≥ 485

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Answer:

When new, the scooter cost $900

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we have

A(t)=900(0.85)^t

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A(t)=a(b)^t

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r is the percent rate of change

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a=\$900\\b=0.85

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The statement is false

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case D) The scooter’s value is decreasing at a rate of  0.15% each year

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