Answer:
Step-by-step explanation:
goal is 2,000 and she already makes 1,500
2,000-1,500 gives you the amount she needs to earn from shoe sales
she needs to earn 500 dollars with a 25% commision
25% can also be written as 25/100
for every $100 she makes, she gets $25 but she needs $500
100:25
we need the second number in the ratio to equal $500
500 divided by 25 is 20
20 x 100 : 25 x 20
2000: 500
ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer
Answer: a) 15, b) 1.
Step-by-step explanation:
A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?
(a) 10% of all adult Americans support the changes
Here, ![np>5\ and\ n(1-p)>5](https://tex.z-dn.net/?f=np%3E5%5C%20and%5C%20n%281-p%29%3E5)
And , ![p=0.10](https://tex.z-dn.net/?f=p%3D0.10)
So, consider the equality, to find the value of 'n'.
![np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50](https://tex.z-dn.net/?f=np%3D5%5C%5C%5C%5Cn%5Ctimes%200.10%3D5%5C%5C%5C%5Cn%3D%5Cdfrac%7B5%7D%7B0.10%7D%5C%5C%5C%5Cn%3D50)
So, there are
more adult Americans needed.
(b) 15% of all adult Americans supports the changes
Here, ![p=0.15](https://tex.z-dn.net/?f=p%3D0.15)
So, again we get that
![np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34](https://tex.z-dn.net/?f=np%3D5%5C%5C%5C%5Cn%5Ctimes%200.15%3D5%5C%5C%5C%5Cn%3D%5Cdfrac%7B5%7D%7B0.15%7D%5C%5C%5C%5Cn%3D33.33%5C%5C%5C%5Cn%5Capprox%2034)
So, there are
more adult Americans needed.
Hence, a) 15, b) 1.
94=y/4-18
first you would +18 on each side with a result of 112=y/4 then you would x4 on each side with an end result of 448=y
y=448
Answer:
For number 3 the answer is -4