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pishuonlain [190]
2 years ago
10

Quiz Instructions

Mathematics
1 answer:
bazaltina [42]2 years ago
7 0
I believe it would be dilated by 3/4

If you think of a rectangle, let’s say it is 8 by 4, the perimeter of this rectangle would be 24.

Now if you dilate the side values, you get 6 by 3 and the perimeter equals 18

So you then get 18/24 which is equal to 3/4

Hope this is right and makes sense! Have a good day!

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True or False:<br> Zero is a neutral integer. It can be either positive or negative.
dybincka [34]
No. but zero is an integer
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Help please?? I’m being timed!!
weqwewe [10]

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answer is is option 3 all the best for examination

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Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student
AysviL [449]

Answer:

The mean calculated for this case is \bar X=584

And the 95% confidence interval is given by:

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=584

The sample deviation calculated s=86.776

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=5-1=4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.776

Now we have everything in order to replace into formula (1):

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

3 0
2 years ago
Cathy has 16 meters of fencing to make a rectangular pen for some rabbits what dimensions will give the maximum area?
Travka [436]
The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
16=4L
4=L

the dimentions are length and width are 4 meters
aera will be 16 square meters
6 0
2 years ago
What value will make the equation true
Snowcat [4.5K]

Answer:

pick the value that when you solve it, you get the correct answer

Step-by-step explanation:

5 0
2 years ago
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