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kotegsom [21]
3 years ago
6

Given 7x/2 <5 find the soloution set

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

1. Multiply both sides by 2. 7x/2*2<5*2 aka 7x<10

2. Divide both sides by 7. 7x/7<10/7 aka x<(10/7)

3. Your solution should be x<(10/7) or in decimal form x<1.43...

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Tennessee covers an area of about 109,247 square kilometers. This includes about 2,403 square kilometers of inland water. What p
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Step-by-step explanation:

2,403/109,247 X 100

only 2.2% of Tennessee is covered in water

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Please answer this if i get ur wrong my math teacher will give me a detention
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Answer:

No lol

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No

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Which numbers are the extremes of the proportion 3/4=6/8
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Kyle and his friends share some apple pie equally. Each person gets 7/5 of the pies. Which of the following shows a possible way
stiv31 [10]

Answer:

7 apples divided among 5 people

Step-by-step explanation:

Given

Apple shared equally

Portion of each person = 7/5

Required

A possible way that shows how the pies were shared.

Given that 7/5 is the ration of the pie to each individual (Kyle and his friends).

Provided that each individual got equal ration....

The ration can be divided into two

The numerator = 7

The denominator = 5.

The numerator shows the number of things that were shared.

Hence, 7 apples were shared.

The denominator shows the number of people involved.

Hence, 5 people were involved.

So, we can conclude that 7 apples were divided among 5 people.

From option A through D, only option B satisfied this analysis

6 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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".  

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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 0.05 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 use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
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