Y= 1/2x+ 2 to make the x the subject.
1 answer:
Answer:
Step-by-step explanation:
"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.
You start by subtracting 2 from both sides, you should get the following.
Then you multiply by 2 from both sides, you should end up with the following.
Therefore, you get the following.
Finally, you distribute and get the answer.
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Answer:
a) The best estimator for the population mean is given by the sample mean
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".
represent the sample mean for the sample
population mean (variable of interest)
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
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:
(1)
Since the Confidence is 0.95 or 95%, the value of and
, 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
Now we have everything in order to replace into formula (1):
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.
Answer:
The store sold 43 pro NSL soccer balls.
The store sold 27 limited Edition soccer balls.
Step-by-step explanation:
Let x represent number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.
We have been given that a sports store sells a total of 70 soccer balls in one month. We can represent this information in an equation as:
Cost of x limited Edition soccer balls:
Cost of y pro NSL soccer balls:
We are also told that store collected a total of $2,400. We can represent this information in an equation as:
From equation (1), we will get:
Substituting this value in equation (2), we will get:
Therefore, the store sold 43 pro NSL soccer balls.
Now, we will substitute in equation (1) to solve for x:
[tex]x=27/tex]
Therefore, the store sold 27 limited Edition soccer balls.