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nikdorinn [45]
3 years ago
15

A local grocery store has plans to construct a rectangular parking lot that is bordered on one side by a highway. there are 1280

feet of fencing available to close off the other 3 sides. find the dimensions that will maximize the area of the parking lot
Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
The answer is -320 ft. by 1920 ft. To solve this problem you need to correctly label and draw a figure to illustrate the given information. And then find the equations to represent the area and perimeter. The equation of the area is quadratic which is graphed will be a prabola opening downward. In order to maximize the area find the y-coordinate of the parabola's vertex. Used the formula of vertex to find the x-coordinate and then substitutes it back into the area formula.
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IceJOKER [234]
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4 years ago
( 2 x - 3 ) ( 7 x + 4)
weeeeeb [17]

Answer:5x times -7

Step-by-step explanation:

You ignore the brackets and move the 2x to the other side. Then move the 4 to the other side

3 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
Solve for x: -7x+2=-4x-7
Zielflug [23.3K]

Answer: x = 3

Step-by-step explanation:

First you need to start by adding positive 4x to both sides since the 4x is a negative.  4x + (-7x) = -3x.  Then it is just simply -3x+2 = -7.  Since 2 is a positive number subtract both both sides by 2.  Then you should get -3x = -9.  Then divide both sides by -3 and the answer is x = 3.

5 0
3 years ago
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