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Goryan [66]
3 years ago
6

Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0
So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1



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If x= eighth root of y and y= z^16 how is x proportionate to z ?
ankoles [38]
x= \sqrt[8]{y}
\\ y = z^{16}



Plug "y" into the first equation.

x =  \sqrt[8]{z^{16}} = (z^{16})^{1/8} = z^{16/8} = z^2
8 0
3 years ago
Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

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".

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)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0
3 years ago
In a quiz competition, the host asked a question and provided three possible answers. What is the probability that the answer ch
murzikaleks [220]

Answer:

2/3 probability that the answer choice which rohit selects for question is wrong.

Step-by-step explanation:

Completing the question :- what is probability that the answer choice which rohit selects for question is wrong.

Answer :

Since there are 3 possible options provided out of which 1 is correct. So probability of correct answer is 1/3. probability of incorrect answer is 2/3.

So, there is 2/3 probability that the answer choice which rohit selects for question is wrong.

4 0
2 years ago
Factor the algebraic expression.<br> 20a + 12
Studentka2010 [4]

Answer:

32a

Step-by-step explanation:

20a + 12 = 32a

Hope this helps..

4 0
3 years ago
Read 2 more answers
Holly messed eight of 180 school days this year approximately what percent of school days with Holly and attendance
nika2105 [10]
The answer is 60%

hope this helps
3 0
3 years ago
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