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Nataliya [291]
3 years ago
12

PLEASE HELP ASAP!!!!!!!

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

  A.) the SSS Postulate

Step-by-step explanation:

Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.

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Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) 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)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

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 0.95 or 95%, 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):

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
Using the image, find the distance between the points given on the graph.
Yuliya22 [10]

Answer:

3 units

Step-by-step explanation:

using the distance formula

6 0
3 years ago
Read 2 more answers
Solve for x.<br> х<br> G<br> 9<br> 3
mash [69]
Ttthe said she had no reason why he would be able answer that he had been in ,.....
6 0
3 years ago
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut
Kryger [21]

Answer:

$16.10

Step-by-step explanation

14.00x .15=2.10

14.00+2.10=16.10

7 0
3 years ago
It’s #11 that I need help with
wel

#11

Perimeter:

P = 2(W + L)

P = 2(3.5 + 6.5)

P = 2(10)

P = 20 units


Area:

A = WL

A = 3.5 * 6.5

A = 22.75 square units


5 0
3 years ago
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