Answer: 2.5 ounces/ pint
You can firstly turn your fractions into decimals 5/8 is equal to .625 and 1/4 is .25
Then you can divide .625 by .25 which is 2.5, So the unit rate is 2.5 ounces per pint.
Answer:
For this case we have the following info related to the time to prepare a return
![\mu =90 , \sigma =14](https://tex.z-dn.net/?f=%20%5Cmu%20%3D90%20%2C%20%5Csigma%20%3D14)
And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean
is given by:
And the standard deviation would be:
![\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20X%7D%20%3D%5Cfrac%7B14%7D%7B%5Csqrt%7B49%7D%7D%3D%202)
And the best answer would be
b. 2 minutes
Step-by-step explanation:
Previous concepts
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".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we have the following info related to the time to prepare a return
![\mu =90 , \sigma =14](https://tex.z-dn.net/?f=%20%5Cmu%20%3D90%20%2C%20%5Csigma%20%3D14)
And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean
is given by:
And the standard deviation would be:
![\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20X%7D%20%3D%5Cfrac%7B14%7D%7B%5Csqrt%7B49%7D%7D%3D%202)
And the best answer would be
b. 2 minutes
You made the choice to choose the letter A, a second time.
<h3>
Answer: ![a_n = 10n+30](https://tex.z-dn.net/?f=a_n%20%3D%2010n%2B30)
</h3>
n starts at 1, and n is a positive whole number (1,2,3,...)
======================================================
Explanation:
The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.
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a1 = 40 = first term
d = 10 = common difference
![a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20d%28n-1%29%5C%5C%5C%5Ca_n%20%3D%2040%20%2B%2010%28n-1%29%5C%5C%5C%5Ca_n%20%3D%2040%20%2B%2010n-10%5C%5C%5C%5Ca_n%20%3D%2010n%20%2B%2030%5C%5C%5C%5C)
is the general nth term of this arithmetic sequence
Plug in n = 1 and you should get ![a_1 = 40](https://tex.z-dn.net/?f=a_1%20%3D%2040)
Plug in n = 2 and you should get ![a_2 = 50](https://tex.z-dn.net/?f=a_2%20%3D%2050)
and so on
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.