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erastova [34]
3 years ago
9

What is mean by vertically opposite angle​

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

Vertically Opposite Angles are the angles opposite each other when two lines cross "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Step-by-step explanation:

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An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
Lynna [10]

Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

n=350 represent the sample size  

99% confidence interval  

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

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

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: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58  

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

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0
3 years ago
Can some one help me plsss!!?
Dahasolnce [82]
Ha uuuu un día y que ha dado la oportunidad para el teléfono
3 0
2 years ago
How are fractions and decimals related?
Savatey [412]
Fractions and decimals are related in a very close way. Ways such as they are both representing a whole number. 

for example 

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all three numbers have the same value but are expressed in a different format. all three represent the same whole number. 

another example would be

1/4 , 0.25 , 25% 

hopefully this helped. and or makes sense. 

LET ME KNOW :p



7 0
3 years ago
Solve for x.<br><br> 7 - (2x + 11) + 3(3 - x) = 20
zvonat [6]

Answer:

your answer should be x = -3

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2 years ago
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Art [367]
Hello,

\lim_{x \to -3} 3 log(x+3) =-\infty
x=-3 is the vertical asymptote.
6 0
3 years ago
Read 2 more answers
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