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ASHA 777 [7]
3 years ago
9

Calculate the area of parallelogram ORST

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

6,000

Step-by-step explanation:

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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
3 years ago
Find the slope of the line with x intercept 9 and y intercept of -2
elena-s [515]

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

8 0
3 years ago
$82;35% discount answer
Musya8 [376]
82 times 0.35
the answer is 28.7
3 0
3 years ago
Read 2 more answers
Why could it be dangerous to try to “keep up with the Jones” help me out plsss
Paladinen [302]

Answer:

The “Keeping up with the Joneses” syndrome can lead to obsessive spending behaviors that will create stress, worry, anxiety, and financial ruin. It can destroy the most ordinary individual you brush shoulders with or celebrities who eventually have to declare bankruptcy.

Step-by-step explanation:

6 0
2 years ago
What's the abswer to 1/2 divided by 5/8 is
posledela
\frac{1}{2} \div  \frac{5}{8} \\ \\  \frac{1}{2} \times  \frac{8}{5} \\ \\  \frac{1 \times 8} {2 \times 5} \\ \\  \frac{8}{10} \\ \\  \frac{4}{5} \\ \\

The final result is: 4/5 or 0.8.
7 0
3 years ago
Read 2 more answers
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