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jek_recluse [69]
3 years ago
12

Need help fast! Solve for y and a if possible please

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
Where is the question?
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Laser scanning for fish volume estimation. engineers design tanks for rearing commercial fish to minimize both the use of natura
AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8  

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.  

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=240 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size  

Part a

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

df=n-1=4-1=3

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that t_{\alpha/2}=5.84

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

240-5.84\frac{15}{\sqrt{4}}=196.2    

240+5.84\frac{15}{\sqrt{4}}=283.8

So on this case the 99% confidence interval would be given by (196.2;283.8)    

We are 99% condident that the true mean is between 196.2 and 283.8

What assumption about the data is necessary for the inference derived from the analysis to be valid?

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

4 0
3 years ago
If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
Nadusha1986 [10]

Answer:

Option 1) 10 sides

Step-by-step explanation:

We are given a regular polygon. The sum of interior angles measure upto 1440 degrees.

Since it is a regular polygon, it satisfies the following properties:

  • All the sides are equal.
  • All interior angle have same measure.

Let the regular polygon have n sides.

Then, the sum of interior angle is given by:

(n-2)\times 180^\circ

Putting the values, we get,

(n-2)\times 180 = 1440\\\\n-2 = \dfrac{1440}{180}\\\\n-2 = 8\\n = 8 + 2\\n =10

Thus, there are 10 sides. The regular polygon is a regular decagon.

6 0
3 years ago
My bill at a restaurant was $25 even and I want to tip 20% how much would I pay
Nookie1986 [14]

Answer:

$30

Step-by-step explanation:

20% of 25 = 5

c = 25 + 5

25/100 = 0.25*20

7 0
3 years ago
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