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8090 [49]
2 years ago
9

Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of tria

ngle ABC? Express your answer as an entire radical.
Mathematics
1 answer:
Katyanochek1 [597]2 years ago
8 0

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

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The areas of two circles are in a ratio of 169:121. What is the ratio of their radii?
horrorfan [7]

Answer:

1 \frac{48}{121}

Step-by-step explanation:

divide 169/121 and that equals the answer above

8 0
3 years ago
Read 2 more answers
A random sample of 42 college graduates who worked during their program revealed that a student spent an average 5.5 years on th
Neko [114]

Answer:

5.5-2.701\frac{1.1}{\sqrt{42}}=5.04    

5.5+2.701\frac{1.1}{\sqrt{42}}=5.96    

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

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=5.5 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=1.1 represent the sample standard deviation

n=42 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 critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=42-1=41

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(0.005,41)".And we see that t_{\alpha/2}=2.701

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

5.5-2.701\frac{1.1}{\sqrt{42}}=5.04    

5.5+2.701\frac{1.1}{\sqrt{42}}=5.96    

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

3 0
3 years ago
Which of the following expressions is equal to 5-2m?
fiasKO [112]
The answer would be A. Make sure you also use BEDMAAS, and take care of the brackets first
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2 years ago
Convert the fraction 6/10 to a decimal.
zloy xaker [14]

Answer:

0.60

Step-by-step explanation:

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3 years ago
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Determinar el área de un hexágono que esta inscrito en una circunferencia de 4 unidades de radio
Dmitrij [34]

Answer:

espero y te sirva hay esta todo lo que necesitas

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