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alexdok [17]
3 years ago
10

One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find th

e length of the longer side of the rectangle
Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Let one of the side = x

So, other side = x - 2

Area = 360 sq.m

x*(x - 2) = 360

x*x - x * 2 = 360

x² - 2x -360 = 0

x² + 18x - 20x  - 18*20 = 0

x(x +18) - 20*(x + 18 ) = 0

(x + 18)(x -20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x - 20 = 0

x = 20

Length of the longer side = 20 m

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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=1.6)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.99=0.01 and \alpha/2=0.005  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 2.58  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{2.58(1.6)}{0.1})^2 =1704.03  

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.1 mm is n=1705.  

6 0
2 years ago
Which rational expression is equal to a positive whole number when evaluated?2 ^1/28 ^1/312 ^1/415 ^1/5
madreJ [45]
<span>2 ^1/2
8 ^1/3  = (2³)^1/3 = 2
12 ^1/4
15 ^1/5

</span>
3 0
3 years ago
Answer with solution
adelina 88 [10]
In general, the scalar multiple of k times u,<span> is this: 

</span>k\vec u = k(ux, uy)=(Kux,Kuy) 

So, here's how we find 3\vec v 

3\vec v = 3 * (2,4) = (3*2,3*4) &#10;&#10;= (6,12) 

The answer is <span><span>(6,12).</span></span>
6 0
2 years ago
Read 2 more answers
Square inch for 30 stones
Anna71 [15]

1 stone = 20 square inches

1 stone * 30 = 20 square inches * 30

30 stones = 600 square inches

8 0
3 years ago
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled
galina1969 [7]
The answer is 4.

There were in total 96 pictures (84 pictures  + 12 spoiled = 96 pictures).
1 roll of film has 24 pictures. x rolls of film have 96 pictures.
1 : 24 = x : 96
x = 1 * 96 : 24
x = 4


6 0
3 years ago
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