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Salsk061 [2.6K]
2 years ago
8

Mr. Finley’s class visited a number of freshwater lakes to learn more about the crocodiles and alligators living in them. The cl

ass counted the number of species in each lake as shown in the table.
Lake
Crocodiles
Alligators
A
4
5
B
21
35
C
3
9
D
6
16
E
24
30

The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?

lake A and lake B
lake B and lake C
lake A and lake E

lake C and lake D
Mathematics
1 answer:
DaniilM [7]2 years ago
3 0
Upon calculating, the correct answer among the choices listed above is lake A and lake E. Both lakes have the same proportion of the numbers of crocodiles and alligators.

In the lake A, there are 4 crocodiles and 5 alligators giving a ratio of 4:5
In the lake E, there are 24 crocodiles and 30 alligators giving a ratio of 24:30

Since 4:5 = 24:30, we will prove it.

First, we need to transform both ratios into fraction form to make it easier.

4/5 = 24/30

The next thing to do is to find their decimal forms by dividing their numerators to their respective denominators.

<u>4 ÷ 5 = 0.8</u>
<u>24 ÷ 30 = 0.8</u>

Thus, giving us:

0.8 = 0.8 ; Therefore, lake A and lake E are of the same proportion.

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Answer:

(a) False

(b)True

Step-by-step explanation:

(a) A factor in any experiment is a variable (independent) that you can control as you study the results obtained while changing its conditions .This means that the levels of the variable are set by experimenter as you perform the experiment.A factor can have two or more levels.These levels when combined, they form treatments.A factor is controlled by setting it to different​ levels,two or more to enable the researcher introduce different values of the factor to observe the trend in the results.Hence, set a factor to levels is very important.

(b)Randomization is when participants in an experiment are chosen to prevent bias.When randomization is applied, the participating groups will be similar in that there will be no accidental bias due to unbalance criterion.Additionally, selection bias that could arise due to underrepresented group will be eliminated.

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Answer: 12.07 ounce/gallon.

Step-by-step explanation:

given data:

desired ratio = 90grams / liter of water.

ratio In ounce/ gallon

first we convert our grams to ounce

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converting liter to gallons

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2 years ago
$24 saved after 3 weeks; $52 saved after 7 weeks. are these ratios equivalent
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) The GPA of accounting students in a university is known to be normally distributed. A random sample of 20 accounting students
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Answer:

The 95% confidence interval for the mean GPA of all accounting students at this university is between 2.5851 and 3.2549

Step-by-step explanation:

We are in posessions of the sample's standard deviation. So we use the student's t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{975}). So we have T = 2.0930

The margin of error is:

M = T*s = 2.0930*0.16 = 0.3349.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.92 - 0.3349 = 2.5851

The upper end of the interval is the sample mean added to M. So it is 2.92 + 0.3349 = 3.2549

The 95% confidence interval for the mean GPA of all accounting students at this university is between 2.5851 and 3.2549

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. A conductor with a diameter of 100 mils has an area of
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Area = 3.14 * (100/2) ^ 2
Area = 3.14 * 50^2
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