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lawyer [7]
3 years ago
14

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?

Mathematics
1 answer:
dedylja [7]3 years ago
4 0

We know that there are 16 girls. That is the first part of the ratio. Now, it says girls to students, which mean you have to add up the total of girls and boys together. 12+16=28. There are 28 students in total. Now, you have the ratio of 16:28. But, it says simplified...so we need to divide both sides of the ratio by a number. Let's choose 4 because 4 can go both into 16 and 28. 16/4=4. 28/4=7. So, the simplified ratio of girls to students in the classroom is 4:7.

Hope this helped!

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Answer:

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Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

5 0
3 years ago
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of thei
asambeis [7]

Complete Question

Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.

Answer:

The  sample size is  n  = 1537 \ gallons

Step-by-step explanation:

From the question we are told that

    The margin of error is  MOE  = 0.5

     The confidence level is  C  =  95%

Given that the confidence level is  95% the level of significance is mathematically represented as

         \alpha  =  100 -  95

         \alpha  =  5%

         \alpha  = 0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is  Z_{\frac{\alpha }{2} } = 1. 96

The reason we are obtaining critical values of  

\frac{\alpha }{2}

instead of  

\alpha

is because  

\alpha

represents the area under the normal curve where the confidence level interval (

1-\alpha

) did not cover which include both the left and right tail while  

\frac{\alpha }{2}

is just the area of one tail which what we required to calculate the sample size

Now the sample size is mathematically represented as

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substituting values

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7 0
3 years ago
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Step-by-step explanation:

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