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Naddika [18.5K]
2 years ago
10

Which of the following is a solution of y - x > -3? (6, 2) (2, 6) (2, -1)

Mathematics
1 answer:
Margarita [4]2 years ago
6 0
(2, 6)
x = 2 
y = 6
 y - x > -3
6 - 2 > -3
4 > -3
Therefore the answer is (2, 6)
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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
How do you find the next three terms in the geometric sequence 9, -3, 1, , ... ?
levacccp [35]
Each term is being divided by -3, so the next three terms would be:

-1/3, 1/9, -1/27
7 0
3 years ago
What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
I need help please?!!!!
sergejj [24]
A. i’m pretty sure !!
6 0
3 years ago
Read 2 more answers
What is -0.37 as a fraction in simplest form.
Lelu [443]
-0.37 is negative thirtyseven-hundredths, so in a fraction that would be - \frac{37}{100}. 37 is a prime number, so it isn't divisible by anything, meaning <span>- \frac{37}{100} is in simplest form.</span>
7 0
3 years ago
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