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3 years ago

Geometry help needed Use O for exercises 6-8 6. what is the perimeter of triangle abc

Mathematics

1 answer:

iris [78.8K]3 years ago

6 0

Perimeter of triangle ABC is 20 units.

Solution:

The image for reference is attached below.

Given AE = 2, BD = 5 and CF = 3

Two tangents drawn from an external point to a circle are equal in length.

AD = AE, BF = BD and CE = CF

Therefore, AD = 2, BF = 5 and CE = 3

Perimeter of the triangle = sum of the three sides

Perimeter of triangle ABC = AB + BC + CA

= AD + BD + BF + CF + CE + AE

= 2 + 5 + 5 + 3 + 3 + 2

= 20

Hence, perimeter of triangle ABC is 20 units.

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A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

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

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

7 0

2 years ago

Need help.....................................

adoni [48]

Answer: w, 0

Step-by-step explanation:

you can see that G has the same distance from 0 as E does, so you can just take away the - sign. It hasn't left the line so its still 0.

8 0

3 years ago

One of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years. As the service man

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Therefore, the total costs for year 1 will be $2,240, for year 2 they will be $2,040, and for year 3 they will be $2,120.

<h3><u /></h3><h3><u>Costs</u></h3>

Given that one of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years, and as the service manager for the company's fleet of six-cylinder compact automobiles, you are asked to determine the total costs for each of the three years, to determine said cost, the following calculation must be made:

Year 1:
20000 x 0.112 = X
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Year 2:
20000 x 0.102 = X
2,040 = X

Year 3:
20000 x 0.106 = X
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Therefore, the total costs for year 1 will be $2,240, for year 2 they will be $2,040, and for year 3 they will be $2,120.

Learn more about costs in brainly.com/question/4557688

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Answer:

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<em>Have a great night!</em>

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3 years ago