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arsen [322]
4 years ago
9

six equilateral triangles are connected to create a regular hexagon. the area if the hexagon is 24a2-18 square units. what is an

equivalent expression for the area of the hexagon based on the area of a triangle?
Mathematics
1 answer:
san4es73 [151]4 years ago
7 0

Answer:

4a² - 3

Step-by-step explanation:

24a²-18 = 6 x (4a² - 3)

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a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representati
seropon [69]

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

8 0
3 years ago
In the triangle ABC , Angle A = 46° and Angle B = 83°. How large is the exterior angle at C?
lisabon 2012 [21]

Answer:

180 - 46 - 83 = 51 is the measure of angle C

the exterior angle at angle C, and angle C, are supplementary. since angle C is 51 because of the interior angle triangle sum theorem, then the exterior angle is: 180 -51 = 129 degrees.

Step-by-step explanation:

I hope this helps :)

4 0
3 years ago
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80
juin [17]

Answer: i think 0.8.

Step-by-step explanation:

7 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
What two integers does the square root of 58 fall between?
ollegr [7]

Answer:

7 and 8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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