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mixer [17]
1 year ago
6

Winnie measured the length of her father's ranch four times and got four different distances. her measurements are shown in the

table.
A. To estimate the actual length, winnie first approximated each distance to the nearest hundredth.Then she averaged the four numbers.
Using a calculator, find winnie's estimate.
.
Distance across father's ranch (km)
Square root of 60, 58/8, 7.3, 7 3/5
.
B. Winnie's father estimated the distance across his ranch to be the square root of 56 km. How does this distance compare to Winnie's estimate?
Mathematics
1 answer:
Maksim231197 [3]1 year ago
5 0

(a) winnie first approximated each distance to the nearest hundredth.

\sqrt{60} =7.75

\frac{58}{8} = 7.25

7.3 = 7.33

7\frac{3}{5} = 7.60

Now we find the average of 4 numbers

\frac{7.75+7.25+7.33+7.60}{4}= \frac{29.93}{4} = 7.4825

Winnie's estimate = 7.4825

B) Winnie's father estimated the distance across his ranch to be the square root of 56 km

\sqrt{56} = 7.48331

Winne's father estimate - Winne's estimate = 7.48331 - 7.48225= 0.00106

Winne's father estimate is 0.00106 more than winne's estimate

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A manageress earned £24,500 last year. This year she earns £25,235.
Korolek [52]

Answer:

Step-by-step explanation:

245000 last year

This year 25235

(y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)  

(( £25.235 - £24.500) / £24.500) * 100 = 0 %

There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula

7 0
1 year ago
It is believed that as many as 23% of adults over 50 never graduated from high school. We wish to see if this percentage is the
JulijaS [17]

Answer:

1)  n=48  

2) n=298

3) n=426

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\hat p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

Part 1

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.10 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

We can assume that the estimated proportion is 0.23 for the 25 to 30 group. And replacing into equation (b) the values from part a we got:  

n=\frac{0.23(1-0.23)}{(\frac{0.1}{1.64})^2}=47.63  

And rounded up we have that n=48  

Part 2

The margin of error on this case changes to 0.04 so if we use the same formula but changing the value for ME we got:

n=\frac{0.23(1-0.23)}{(\frac{0.04}{1.64})^2}=297.7  

And rounded up we have that n=298  

Part 3

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

We can assume that the estimated proportion is 0.23 for the 25 to 30 group. And replacing into equation (b) the values from part a we got:  

n=\frac{0.23(1-0.23)}{(\frac{0.04}{1.96})^2}=425.22  

And rounded up we have that n=426  

3 0
2 years ago
Samantha walked 10 miles in 5 hours. What was her walking rate in miles per hour?
Vitek1552 [10]

Answer:

2 miles per hour

Step-by-step explanation:

5 hours = 10 miles

Your gonna have to divide 10 by 5 to get the answer

10 ÷ 5 = 2

3 0
2 years ago
A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a comp
Andre45 [30]

Answer:look it up

Step-by-step explanation:

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2 years ago
8.06
Lera25 [3.4K]

Answer:

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Probability Problems.

Based on the study that Shane conducted we can assume a couple of things. Firstly, we can see that a vast majority of shoppers are buying products they saw advertised, so we can assume that advertising a product directly affects and contributes to the sales of that particular product.

Secondly, we can tell from the study that the number 1 method for advertising products is the Internet. Since 70% of all the interviewed shoppers are buying a product they saw on the internet.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0
2 years ago
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